DK Goel Solutions Class 12 Accountancy Chapter 2 Change in Profit Sharing Ratio Among the Existing Partners

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Class 12 Math Chapter 2 Change in Profit Sharing Ratio Among the Existing Partners DK Goel Solutions

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Chapter 2 Change in Profit Sharing Ratio Among the Existing Partners DK Goel Class 12 Solved Exercises

📚 CBSE Class 12 - DK Goel Solutions

Chapter 2: Change in Profit Sharing Ratio Among the Existing Partners

Complete Step-by-Step Solutions | Q1 to Q66

✅ 66 Solved Questions 📊 Sacrifice, Gain & Goodwill 💡 Concept Summary ⚠️ Common Mistakes
📋 Jump to a question (tap to expand)

💡 Quick Concept Summary

Sacrificing Ratio
Old Ratio − New Ratio. A positive value means that partner has sacrificed share; a negative value means that partner has gained share.
Gaining Ratio
New Ratio − Old Ratio — the negative of a partner's sacrificing figure. The gaining partner compensates the sacrificing partner for goodwill.
Goodwill — Average Profit Method
Goodwill = Average Profit × Number of Years' Purchase. Normalise each year's profit first.
Goodwill — Weighted Average Method
Weighted Average Profit = Total of Products ÷ Total of Weights. Goodwill = that × Years' Purchase.
Goodwill — Super Profit Method
Normal Profit = Capital Employed × Normal Rate/100. Super Profit = Actual Average Profit − Normal Profit.
Goodwill — Capitalisation Method
Capitalised Value = Average/Super Profit × 100/Normal Rate. Goodwill = Capitalised Value − Capital Employed.
Adjustment Entry for Goodwill
Gaining Partner's Capital A/c Dr.  To Sacrificing Partner's Capital A/c — no goodwill account is opened.
Reserves & Revaluation
Distribute existing reserves, accumulated P&L and revaluation gain/loss in the OLD ratio before the new ratio applies.
📝

Numerical Questions and Solutions

Q1(A) X and Y were partners in a firm sharing profits in the ratio of 5:3. With effect from 1st April, 2023 they agreed to share profits…

X and Y were partners in a firm sharing profits in the ratio of 5:3. With effect from 1st April, 2023 they agreed to share profits equally. Calculate the individual partner's gain or sacrifice due to change in ratio.

✅ Solution

Old Ratio of X and Y = 5 : 3

New Ratio of X and Y = 1 : 1

Calculation of Sacrifice or Gaining Ratio =

X’s Ratio = 5/8-1/2

X’s Ratio = (5 – 4)/8

X’s Sacrifice Ratio = 1/8

Y’s Ratio = 3/8-1/2

Y’s Ratio = (3 – 4)/8

Y’s Gaining Ratio = (-1)/8

Thus, X has sacrificed 1/8th share whereas Y has gained 1/8thshare.

📝 Point of Knowledge

Here the negative value of is gaining and positive value is sacrificing.

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q1(B) A and B were in partnership sharing profits equally. With effect from1st April, 2023 they agreed to share profits in ratio of 4:3.…

A and B were in partnership sharing profits equally. With effect from1st April, 2023 they agreed to share profits in ratio of 4:3. Calculate the individual partner’s gain or sacrifice due to change in ratio.

✅ Solution

Old Ratio of A and B = 1 : 1

New Ratio of A and B = 4 : 3

Calculation of Sacrifice or Gaining Ratio =

A’s Ratio = 1/2-4/7

A’s Ratio = (7 – 8)/14

A’s Gaining Ratio = 1/14

B’s Ratio = 1/2-3/7

B’s Ratio = (7 – 6)/14

B’s Sacrificing Ratio = 1/14

Thus, B has sacrificed 1/14th share whereas A has Gained 1/14thshare.

📝 Point of Knowledge

Here the negative value of is gaining and positive value is sacrificing.

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q2(A) A and B and C were in partnership sharing profits in the ratio of 4:3:1. The partners agreed to share future profits in the ratio …

A and B and C were in partnership sharing profits in the ratio of 4:3:1. The partners agreed to share future profits in the ratio of 5: 4 : 3. Calculate each partner's gain or sacrifice due to change in ratio.

✅ Solution

Old Ratio of A, B and C = 4 : 3 : 1

New Ratio of A, B and C = 5 : 4 : 3

Calculation of Sacrificing or Gaining Ratio =

A’s Ratio = 4/8-5/12

A’s Ratio = (12 – 10)/24

A’s Sacrifice Ratio = 2/24

B’s Ratio = 3/8-4/12

B’s Ratio = (9 – 8)/24

B’s Sacrificing Ratio = 1/24

C’s Ratio = 1/8-3/12

C’s Ratio = (3 – 6)/24

C’s Gaining Ratio = 3/24

Thus, A has sacrifices2/24th share, B has sacrifices1/24thshare and C gain 3/24th

📝 Point of Knowledge

Here the negative value of is gaining and positive value is sacrificing.

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q2(B) Mahesh, Naresh and Om were partners sharing profits in the ratio of 2 : 3:4. With effect from 1st April, 2016 they agreed to share…

Mahesh, Naresh and Om were partners sharing profits in the ratio of 2 : 3:4. With effect from 1st April, 2016 they agreed to share profits in the ratio of 1 : 2 : 3. Calculate each partner's gain or sacrifice due to change in ratio.

✅ Solution

Old Ratio of Mahesh, Naresh and Om = 2 : 3 : 4

New Ratio of Mahesh, Naresh and Om = 1 : 2 : 3

Calculation of Sacrificing or Gaining Ratio =

Mahesh’s Ratio = 2/9-1/6

Mahesh’s Ratio = (4 – 3)/18

Mahesh’s Sacrifice Ratio = 1/18

Naresh’s Ratio = 3/9-2/6

Naresh’s Ratio = (6 – 6)/18

Naresh’s Sacrificing Ratio = 0

Om’s Ratio = 4/9-3/6

Om’s Ratio = (8 – 9)/18

Om’s Gaining Ratio = 1/18

Thus, Mahesh has sacrifices 1/18th share, and Om gain 1/18th

📝 Point of Knowledge

Here the negative value of is gaining and positive value is sacrificing.

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q3 Madhu & Co. Acquired the business of Vishu for a purchase consideration of Rs. 11,00,000 which was paid by cheque. The assets …

Madhu & Co. Acquired the business of Vishu for a purchase consideration of Rs. 11,00,000 which was paid by cheque. The assets and liabilities taken over was as follows:

ParticularsBook ValueAgreed Value
Furniture50,00040,000
Debtors2,50,000Subject to Provision for Doubtful Debts 4%
Stock10,00,0007,20,000
Bank Overdraft20,00020,000
Creditors1,80,0001,80,000

You are required to ascertain the value of goodwill and pass necessary Journal entries.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
 Furniture A/cDr. 40,000 
 Debtors A/cDr. 2,40,000 
 Stock A/cDr. 7,20,000 
 Goodwill A/cDr. 3,00,000 
 To Bank Overdraft A/c   20,000
 To Creditor A/c   1,80,000
 To Vishu’s A/c   11,00,000
 (Being business taken over and the difference amount treated as goodwill)   
 Vishu’s A/cDr. 11,00,000 
 To Bank A/c  11,00,000
 (Being amount of purchases consideration paid by cheque)   
📌 Teacher's Note
Read the question carefully to check whether goodwill is to be raised and written off in the books, or merely adjusted through partners' capital accounts — the journal entries required are different in each case.
Q4 The goodwill of a firm is valued at 4 years' purchase of average profits of a five years. The profits of the last five years …

The goodwill of a firm is valued at 4 years' purchase of average profits of a five years. The profits of the last five years were :

Year    Profit (Rs.)

2018-19  :  2,00,000

2019-20 : (3,00,000)

2020-21 : 4,50,000 (including an abnormal gain of Rs. 50,000)

2021-22 : 3,50,000 (after charging an abnormal loss of Rs. 90,000)

2022-23 :  2,60,000

Calculate the amount of goodwill.

✅ Solution

Total Profit = Rs. 2,00,000 – Rs. 3,00,000 + (Rs. 4,50,000 – Rs. 50,000) + Rs. 3,50,000 + Rs. 2,60,000

Total Profit = Rs. 9,10,000

Average Profit = Total Profit/Number of year

Average Profit = 9,10,000/5

Average Profit = Rs. 1,82,000

Goodwill = Average Profit × Number of year purchases

Goodwill = 1,82,000 × 4

Goodwill = Rs. 7,28,000

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q5 X purchased the business of Y from 1st April, 2026. For this purpose goodwill is to be valued at 100% of the average annual profit…

X purchased the business of Y from 1st April, 2026. For this purpose goodwill is to be valued at 100% of the average annual profits of the last four years. The profits shown by Y's business for the last four years were :

Year ended (Rs.) 
31st March, 2023Profit1,00,000(after debiting loss of stock by fire Rs. 50,000)
31st March, 2024Loss1,50,000(includes voluntary retirement compensation paid Rs. 80,000)
31st March, 2025Profit1,50,000 
31st March, 2026Profit2,00,000 

Verification of books of accounts revealed the following:

During the year ended 31st March, 2021, a machine got destroyed in accident and Rs. 60,000 was written off as loss in Profit & Loss Account.

On 1st July 2025, Two Computers costing Rs. 40,000 each were purchased and were debited to Travelling Expenses Account on which depreciation is to be charged @ 10% p.a. on Straight Line Method. Calculate the value of goodwill.

✅ Solution

Calculation of Adjusted Profits

Particulars31.03.202331.03.202431.03.202531.03.2026
Profit1,00,000(1,50,000)1,50,0002,00,000
Add: Loss of Stock by fire50,000---
Add: Voluntary retirement Compensation-80,000--
Add: Loss by Accident-60,000--
Add: Cost of Computers wrongly charged to P&L--80,000-
Less: Depreciation on Computer  6,0008,000
 1,50,000(10,000)2,24,0001,92,000

Total Profit = Rs. 1,50,000 – Rs. 10,000 + Rs. 2,24,000 + Rs. 1,92,000

Total profit = Rs. 5,56,000

Average Profit = Rs. 5,56,000/4

Average Profit = Rs. 1,39,000

Goodwill = 1,39,000 × 100% = Rs. 1,39,000

📝 Working Note

Calculation of Depreciation:-

In 2018 = Rs. 80,000 ×10/100×9/12 = Rs. 6,000

In 2019 = Rs. 80,000 ×10/100 = Rs. 8,000

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q6 A, B and C are partners in a firm sharing profits and losses in the ratio of 3:2:1. They decide to take D into partnership for 1/4…

A, B and C are partners in a firm sharing profits and losses in the ratio of 3:2:1. They decide to take D into partnership for 1/4th share on 1st April, 2022. For this purpose, goodwill is to be valued at 3 times the average annual profits of the previous four or five years whichever is higher. The agreed profits for goodwill purpose of the past five years are as follows:

Rs.

Year ending on 31st March 2018   1,30,000

Year ending on 31st March 2019   1,20,000

Year ending on 31st March 2020   1,50,000

Year ending on 31st March 2021   1,10,000

Year ending on 31st March 2022   2,00,000

Calculate the value of Goodwill.

✅ Solution

Based on 4 Years of Profit

Total Profit = Rs. 1,20,000 + Rs. 1,50,000 + Rs. 1,10,000 + Rs. 2,00,000

Total Profit = Rs. 5,80,000

Average Profit = Total Profit/Number of year

Average Profit = 5,80,000/4

Average Profit = Rs. 1,45,000

Based on 5 Years of Profit

Total Profit = Rs. 1,30,000 + Rs. 1,20,000 + Rs. 1,50,000 + Rs. 1,10,000 + Rs. 2,00,000

Total Profit = Rs. 7,10,000

Average Profit = Total Profit/Number of year

Average Profit = 7,10,000/5

Average Profit = Rs. 1,42,000

Four years average profit is more than 5 years average profit. Therefore the value of goodwill will be

Goodwill = Average Profit × Number of year purchases

Goodwill = 1,45,000 ×3

Goodwill = 4,35,000

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q7 A, B and C are partners sharing profits and losses equally. They agree to admit D for equal share. For this purpose goodwill is to…

A, B and C are partners sharing profits and losses equally. They agree to admit D for equal share. For this purpose goodwill is to be valued at 3 year's purchase of average profits of last 5 years which were as follows:

       Rs.

Year ending on 31st March 2018    60,000 (Profit)

Year ending on 31st March 2019   1,50,000 (Profit)

Year ending on 31st March 2020    20,000 (Loss)

Year ending on 31st March 2021   2,00,000 (Profit)

Year ending on 31st March 2022   1,85,000 (Profit)

On 1st October, 2016 a computer costing Rs. 40,000 was purchased and debited to office expenses account on which depreciation is to be charged @25% p.a. Calculate the value of goodwill.

✅ Solution

Calculation of Average Profits:-

 Rs.
31st March 2018Rs. 60,000 (Profit)
31st March 2019Rs. 1,50,000 (Profit)
31st March 2020Rs. 20,000 (Loss)
31st March 2021Rs. 2,00,000 (Profit)
31st March 2022Rs. 2,20,000 (Profit)
 Rs. 6,10,000

Average Profit = Total Profit/Number of year

Average Profit = Rs. 6,10,000/5

Goodwill = Average Profit × number of year’s purchases

Goodwill = Rs. 1,22,000 × 3

Goodwill = Rs. 3,66,000

📝 Working Note

Cost of Computer was wrongly debited to office expenses account. So the profit of 2017 will increase by Rs. 40,000.

Calculation of Depreciation on Computer:-

Depreciation = Rs. 40,000 ×25/100×6/12

Depreciation = Rs. 5,000

Profit for the year 2022 = Rs. 1,85,000 + Rs. 40,000 – Rs. 5,000 = Rs. 2,20,000

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q8 The profits earned by a firm during the last four years were as follows: Year ended 31st March Profits (Rs.) 2021 80,000 2022 1,00…

The profits earned by a firm during the last four years were as follows:

Year ended 31st MarchProfits (Rs.)
202180,000
20221,00,000
20231,10,000
20241,50,000

Calculate the value of goodwill on the basis of three year’s purchase of weighted average profits. Weights to be used are 1,2,3, and 4 respectively to the profits for 2021, 2022, 2023 and 2024.

✅ Solution
YearProfit (Rs.)WeightProducts
202180,000180,000
20221,00,00022,00,000
20231,10,00033,30,000
20241,50,00046,00,000
  1012,10,000

Weight Average Profit = Rs. 12,10,000/10

Weight Average Profit = Rs. 1,21,000

Goodwill = Rs. 1,21,000 × 3 = Rs. 3,63,000

📌 Teacher's Note
In the Weighted Average Profit method, more weight is given to the most recent year(s) to reflect the firm's current earning trend. Weighted Average Profit = Total of Products ÷ Total of Weights, and Goodwill = Weighted Average Profit × Number of Years' Purchase.
Q9 Following information is available about the business of a firm : (i) Profits: In 2022, Rs. 40,000; In 2023, Rs. 50,000; In 2024, …

Following information is available about the business of a firm :

(i) Profits: In 2022, Rs. 40,000; In 2023, Rs. 50,000; In 2024, Rs. 60,000.

(ii) Non- recurring income of Rs.1,000 is included in the profits of 2023, (iii) Profits of 2022 have been reduced by Rs. 6,000 because goods were destroyed by fire, (iv) Goods have not been insured but it is thought to insure them in future. The insurance premium is estimated at Rs. 400 per year, (v) Reasonable remuneration of the proprietor of business is Rs. 6,000 per year, but it has not been taken into account for calculation of above mentioned profits. (vi) Profits of 2024 include Rs. 5,000 income on investment.

Goodwill is agreed to be valued at two year's purchase of the weighted average profits of the past three years. The appropriate weights to be used are: 2022:-1; 2023: -2; 2024: -3.

✅ Solution

Calculation of Adjusted Profits

Particulars202220232024
Profit40,00050,00060,000
Less: Non-recurring income-1,000-
Add: Goods destroyed by fire6,000--
Less: Insurance Premium400400400
Less: Remuneration to the Proprietor6,0006,0006,000
Less: Income on Investment--5,000
 39,40042,60048,600
YearProfit (Rs.)WeightProducts
202239,600139,600
202342,600285,200
202448,60031,45,800
  62,70,600

Weight Average Profit = Rs. 2,70,600/6

Weight Average Profit = Rs. 45,100

Goodwill = Rs. 45,100 × 2 = Rs. 90,200

📌 Teacher's Note
In the Weighted Average Profit method, more weight is given to the most recent year(s) to reflect the firm's current earning trend. Weighted Average Profit = Total of Products ÷ Total of Weights, and Goodwill = Weighted Average Profit × Number of Years' Purchase.
Q10 Calculate the value of goodwill on the basis of three year's purchase of the weighted average profits of the last five years.…

Calculate the value of goodwill on the basis of three year's purchase of the weighted average profits of the last five years. Profits to be weighted 1, 2, 3, 4 and 5, the greatest weightage to be given to last year. Profits of the last five years were :

Year ended Rs. 
31st March, 2019 :Profit80,000(after considering abnormal loss of Rs. 41,500)
31st March, 2020 :Profit1,05,000(after considering abnormal gain of Rs. 40,000)
31st March, 2021 :Loss20,000 
31st March, 2022 :Profit1,80,000 
31st March, 2023 :Profit2,00,000 

Books of Accounts of the firm revealed that:

(i) Closing Stock as on 31st March, 2019 was overvalued by Rs. 40,000.

(ii) Repairs to Machinery Rs. 60,000 were wrongly debited to Machinery Account on 1st July, 2021. Depreciation was charged on Machinery 20% p.a. on diminishing balance method.

✅ Solution

Calculation of Adjusted Profits

Particulars31.03.201931.03.202031.03.202131.03.202231.03.2023
Profit80,0001,05,000(20,000)1,80,0002,00,000
Less: Closing Stock overvalued(40,000)----
Less: Abnormal Gain-(40,000)---
Less: Repair Expenses---(60,000)-
 40,00065,000(20,000)1,20,0002,00,000
Add: Opening Stock overvalued-40,000---
Add: Abnormal Loss41,500----
Add: Depreciation---9,00010,200
Adjusted Profit81,5001,05,000(20,000)1,29,0002,10,200

Weight Average Profit = Total of Products/Total of Weights

YearProfit (Rs.)WeightProducts
201981,500181,500
20201,05,00022,10,000
2021(20,000)3(60,000)
20221,29,00045,16,000
20232,10,200510,51,000
  1517,98,500

Weight Average Profit = Rs. 17,98,500/15

Weight Average Profit = Rs. 1,19,900

Goodwill = Rs. 1,19,900 × 3 = Rs. 3,59,700

📌 Correction Note
The abnormal loss of Rs. 41,500 relates to the year ended 31.03.2019 and the abnormal gain of Rs. 40,000 relates to the year ended 31.03.2020, as stated in the question — both are now adjusted against the correct year above, which changes the Weighted Average Profit and Goodwill figures.
📝 Working Note

Calculation of Depreciation:-

In 2022 = Rs. 60,000 ×20/100×9/12= Rs. 9,000

In 2023 = (Rs. 60,000 - Rs. 9,000)×20/100= Rs. 10,200

📌 Correction note: the abnormal loss of Rs. 41,500 relates to the year ended 31.03.2019 and the abnormal gain of Rs. 40,000 relates to the year ended 31.03.2020, as stated in the question — both are now adjusted against the correct year above, which changes the Weighted Average Profit and Goodwill figures.

📌 Teacher's Note
In the Weighted Average Profit method, more weight is given to the most recent year(s) to reflect the firm's current earning trend. Weighted Average Profit = Total of Products ÷ Total of Weights, and Goodwill = Weighted Average Profit × Number of Years' Purchase.
Q11 A firm earned profits of Rs. 80,000, Rs. 1,00,000, Rs. 1,20,000 and Rs. 1,20,000 and Rs. 1,80,000 during 2010-11, 2011-12, 2012-13…

A firm earned profits of Rs. 80,000, Rs. 1,00,000, Rs. 1,20,000 and Rs. 1,20,000 and Rs. 1,80,000 during 2010-11, 2011-12, 2012-13 and 2013-14 respectively. The firm has capital investment of Rs. 5,00,000. A fair rate of return on investment is 15% p.a. Calculate goodwill of the firm based on three years' purchase of average super profits of last four years.

✅ Solution

Total Profit = Rs. 80,000 + Rs. 1,00,000 + Rs. 1,20,000 + Rs. 1,80,000

Total Profit = Rs. 4,80,000

Average Profit = Rs. 4,80,000/4

Average Profit = Rs. 1,20,000

Normal Profit = Capital Employed ×Normal Rate of Return/100

Normal Profit = Rs. 5,00,000 ×15/100

Normal Profit = Rs. 75,000

Super Profit = Actual Average Profit – Normal Profit

Super Profit = Rs. 1,20,000 – Rs. 75,000

Super Profit = Rs. 45,000

Goodwill = Super Profit × Number of year Purchases

Goodwill = Rs. 45,000 × 3

Goodwill = Rs. 1,35,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q12 Capital invested in a firm is Rs. 3,00,000. Normal rate of return is 10%. Average profits of the firm are Rs. 41,000 (after an abn…

Capital invested in a firm is Rs. 3,00,000. Normal rate of return is 10%. Average profits of the firm are Rs. 41,000 (after an abnormal loss of Rs. 2,000). Calculate goodwill at five times the super profits.

✅ Solution

Calculation of Actual Average Profit:-

Actual Average Profit = Average Profit + Abnormal Loss

Actual Average Profit = Rs. 41,000 + Rs. 2,000

Actual Average Profit = Rs. 43,000

Normal Profit = Capital Employed ×Normal Rate of Return/100

Normal Profit = Rs. 3,00,000 ×10/100

Normal Profit = Rs. 30,000

Super Profit = Actual Average Profit – Normal Profit

Super Profit = Rs. 43,000 – Rs. 30,000

Super Profit = Rs. 13,000

Goodwill = Super Profit × Number of year Purchases

Goodwill = Rs. 13,000 × 5

Goodwill = Rs. 65,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q13 The capital of the firm of Rajat and Karan is Rs. 15,00,000 and the market rate of interest is 12%. Annual salary of Rajat and Kar…

The capital of the firm of Rajat and Karan is Rs. 15,00,000 and the market rate of interest is 12%. Annual salary of Rajat and Karan is Rs. 20,000 and Rs. 30,000 respectively. The profit for the three years were Rs. 2,40,000, Rs. 2,80,000 and Rs. 3,20,000.

Goodwill of the firm is to be valued on the basis of two years purchase of last three years average super profits. Calculate the goodwill of the firm.

✅ Solution

Calculation of Actual Average Profit:-

Actual Average Profit = Average Profit – Remuneration to Partners

Actual Average Profit = Rs. 2,40,000 + Rs. 2,80,000 + Rs. 3,20,000/3- Rs.50,000

Actual Average Profit = Rs. 2,80,000 – Rs. 50,000

Actual Average Profit = Rs. 2,30,000

Normal Profit = Capital Employed ×Normal Rate of Return/100

Normal Profit = Rs. 15,00,000 ×12/100

Normal Profit = Rs. 1,80,000

Super Profit = Actual Average Profit – Normal Profit

Super Profit = Rs. 2,30,000 – Rs. 1,80,000

Super Profit = Rs. 50,000

Goodwill = Super Profit × Number of year Purchases

Goodwill = Rs. 50,000 × 2

Goodwill = Rs. 1,00,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q14 Find out the capital employed from the following information: Normal rate of return: 12% Profits: 2021-22    &…

Find out the capital employed from the following information:

Normal rate of return: 12%

Profits:

2021-22      Rs. 80,000

2022-23      Rs. 1,30,000

2023-24      Rs. 1,56,000

Goodwill valued at 3 years purchase of Super Profits Rs. 1,50,000

✅ Solution

Goodwill = Super Profit × Number of year’s Purchases

Rs. 1,50,000 = Super Profit × 3

Super Profit = Rs. 1,50,000 ÷ 3

Super Profit = Rs. 50,000

Total Profit = Rs. 80,000 + Rs. 1,30,000 + Rs. 1,56,000

Total Profit = Rs. 3,66,000

Average Profit = Rs. 3,66,000/3

Average Profit = Rs. 1,22,000

Super Profit = Average Profit – Normal Profit

Rs. 50,000 = Rs. 1,22,000 – Normal Profit

Normal Profit = Rs. 1,22,000 – Rs. 50,000

Normal Profit = Rs. 72,000

Normal Profit = Capital Employed ×Normal Rate of Return/100

Rs. 72,000 = Capital Employed ×12/100

Rs. 72,000 ×100/12 = Capital Employed

Capital Employed = Rs. 6,00,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q15 Value of Goodwill of a firm at 3 years’ purchase of Super Profit is Rs. 3,75,000. Average capital Employed in the firm is Rs. 15,0…

Value of Goodwill of a firm at 3 years’ purchase of Super Profit is Rs. 3,75,000. Average capital Employed in the firm is Rs. 15,00,000. Profits of the last 3 years are:

2022-23Rs. 1,00,000(Loss)
2023-24Rs. 5,35,000Profit
2024-25Rs. 4,80,000Profit

Find out the Normal Rate of Return.

✅ Solution

Goodwill = Super Profit × Number of year’s Purchases

Rs. 3,75,000 = Super Profit × 3

Super Profit = Rs. 3,75,000 ÷ 3

Super Profit = Rs. 1,25,000

Total Profit = (Rs. 1,00,000) + Rs. 5,35,000 + Rs. 4,80,000

Total Profit = Rs. 9,15,000

Average Profit = Rs. 9,15,000/3

Average Profit = Rs. 3,05,000

Super Profit = Average Profit – Normal Profit

Rs. 1,25,000 = Rs. 3,05,000 – Normal Profit

Normal Profit = Rs. 3,05,000 – Rs. 1,25,000

Normal Profit = Rs. 1,80,000

Normal Profit = Capital Employed ×Normal Rate of Return/100

Rs. 1,80,000 = Rs. 15,00,000 ×Normal Rate of Return/100

Rs. 1,80,000 = Rs. 15,000 × Normal Rate of Return

Capital Employed = 1,80,000/15,000

Capital Employed = Rs. 12%

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q16 A and B are partners. They admit C for 1/4 th share in profits. For this purpose goodwill is to be valued at three year's pur…

A and B are partners. They admit C for 1/4th share in profits. For this purpose goodwill is to be valued at three year's purchase of super profits.

Following information is provided to you:

Rs.

 A's Capital 5,00,000

 B's Capital 4,00,000

  General Reserve 1,50,000

 Profit & Loss A/c (Cr.) 30,000

 Sundry Assets 12,00,000

The normal rate of return is 15% p.a. Average Profits are Rs. 2,00,000 per year. You are required to calculate C's share of goodwill.

✅ Solution

Calculation of Capital Employed

Capital Employed = Rs. 5,00,000 + Rs. 4,00,000 + Rs. 1,50,000 + Rs. 30,000

Capital Employed = Rs. 10,80,000

Normal Profit = Capital Employed × Normal Rate of Return/100

Normal Profit = Rs. 10,80,000 × 15/100

Normal Profit = Rs. 1,62,000

Super Profit = Actual Average Profit – Normal Profit

Super Profit = Rs. 2,00,000 – Rs. 1,62,000

Super Profit = Rs. 38,000

Goodwill = Super Profit × Number of year Purchases

Goodwill = Rs. 38,000 × 3

Goodwill = Rs. 1,14,000

C’s Share of Goodwill = Rs. 1,14,000 × 1/4

C’s Share of Goodwill = Rs. 28,500

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q17 On April 1st 2024, an existing firm had assets of Rs. 5,00,000 including cash of Rs. 20,000. The firm had a General Reserve of Rs.…

On April 1st 2024, an existing firm had assets of Rs. 5,00,000 including cash of Rs. 20,000. The firm had a General Reserve of Rs. 90,000, partner's capital accounts showed a balance of Rs. 3,80,000 and creditors amounted to Rs. 30,000. If the normal rate of return is 20% and the goodwill of the firm is valued at Rs. 64,000 at 4 year's purchase of super profit, find the average profits of the firm.

✅ Solution

Goodwill = Super Profit × Number of year Purchases

Rs. 64,000 = Super Profit × 4

Super Profit = Rs. 64,000/4

Super Profit = Rs. 16,000

Normal Profit = Capital Employed ×Normal Rate of Return/100

Normal Profit = Rs. 4,70,000 ×20/100

Normal Profit = Rs. 94,000

Super Profit = Average Profit – Normal Profit

Rs. 16,000 = Average Profit – Rs. 94,000

Average Profit = Rs. 16,000 + Rs. 94,000

Average Profit = Rs. 1,10,000

📝 Working Note

Calculation of Capital Employed:-

Capital Employed = Total Assets – Creditors

Capital Employed = Rs. 5,00,000 – Rs. 30,000

Capital Employed = Rs. 4,70,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q18 Following balance appeared in the books of a partnership firm:   Capital Accounts Current Account Monica Rs. 5,50,000 30,000 …

Following balance appeared in the books of a partnership firm:

 Capital AccountsCurrent Account
MonicaRs. 5,50,00030,000
NusratRs. 6,40,00020,000 (Dr.)

Profit and Loss A/c (Dr.) balance existed at Rs. 3,00,000. The normal rate of return for similar business is 10%. In the goodwill of the firm is Rs. 60,000 at 4 years’ purchases of super profit, find the average profits of the firm.

✅ Solution

Goodwill = Super Profit × Number of year Purchases

Rs. 60,000 = Super Profit × 4

Super Profit = Rs. 60,000/4

Super Profit = Rs. 15,000

Normal Profit = Capital Employed ×Normal Rate of Return/100

Normal Profit = Rs. 9,00,000 ×10/100

Normal Profit = Rs. 90,000

Super Profit = Average Profit – Normal Profit

Rs. 15,000 = Average Profit – Rs. 90,000

Average Profit = Rs. 15,000 + Rs. 90,000

Average Profit = Rs. 1,05,000

📝 Working Note

Calculation of Capital Employed:-

Capital Employed = Total Capital – Profit and Loss (Dr.)

Capital Employed = Rs. 12,00,000 – Rs. 3,00,000

Capital Employed = Rs. 9,00,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q19 The average profit of a firm is Rs. 48,000. The total assets of the firm are Rs. 8,00,000. Value of liabilities is Rs. 5,00,000. A…

The average profit of a firm is Rs. 48,000. The total assets of the firm are Rs. 8,00,000. Value of liabilities is Rs. 5,00,000. Average rate of return in the same business is 12%.

Calculate goodwill from capitalization of average profits method.

✅ Solution

Capitalised Value of Average Profits = Average Profits ×100/Normal Rate of Return

Capitalised Value of Average Profits = Rs. 48,000 ×100/12

Capitalised Value of Average Profits = Rs. 4,00,000

Capital Employed = Assets – Liabilities

Capital Employed = Rs. 8,00,000 – Rs. 5,00,000

Capital Employed = Rs. 3,00,000

Goodwill = Capitalised Value of Average Profits – Capital Employed

Goodwill = Rs. 4,00,000 – Rs. 3,00,000

Goodwill = Rs. 1,00,000

📌 Teacher's Note
Under the Capitalisation Method, Capitalised Value of the Firm = Average/Super Profit × 100/Normal Rate of Return. Goodwill = Capitalised Value of the Firm − Actual Capital Employed.
Q20 A firm’s average net profit of last four years were Rs. 2,50,000. It includes an abnormal gain of Rs. 19,000 each year. The firm h…

A firm’s average net profit of last four years were Rs. 2,50,000. It includes an abnormal gain of Rs. 19,000 each year. The firm had assets of Rs. 15,50,000 including cash of Rs. 20,000, Debtors Rs. 2,35,000 and Stock Rs. 1,15,000. Its creditors were Rs. 3,00,000 and outstanding expenses Rs. 50,000. The value of the goodwill as per the capitalization of average profit method was valued at Rs. 4,50,000. Find out the Normal Rate of Return.

✅ Solution

It is given that, Average Profit = Rs. 2,50,000

Abnormal Gain = Rs. 19,000 × 4

Abnormal Gain = Rs. 76,000

Normal Profit = Average Profit – Abnormal Gain

Normal Profit = Rs. 2,50,000 – Rs. 76,000

Normal Profit = Rs. 1,74,000

Calculation of Capital Employed:-

Capital Employed = Total Assets – Current Liabilities

Capital Employed = Rs. 15,50,000 – Rs. 3,50,000

Capital Employed = Rs. 12,00,000

Calculation of Normal Rate of Return:-

Normal Profit = Capital Employed × Normal Rate Return/100

Rs. 1,74,000 = Rs. 12,00,000 × Normal Rate Return/100

Normal Rate Return= Rs. 17,40,000/Rs.12,00,000

Normal Rate Return= 14.5%

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q21 Raju and Rinku were partners sharing profits and losses in the ratio 3:2. They admitted Sumit as a new partner for 1/3 shares. On …

Raju and Rinku were partners sharing profits and losses in the ratio 3:2. They admitted Sumit as a new partner for 1/3 shares. On the date of admission Capitals of Raju and Rinku were Rs. 5,50,000 and Rs. 6,50,000 respectively, also General Reserve of Rs. 3,00,000 and Profit and Loss (Dr.) balance of Rs. 1,00,000 were appearing in the books of accounts.

Firm made an average profit of Rs. 2,40,000 during the last few years and the normal rate of earning was expected to be 12%.

Calculate the Goodwill of the firm by Capitalisation Method.

✅ Solution

Average Profit = Rs. 2,40,000

Normal Rate of Return = 12%

Capitalised value of Average Profit = Average Profit × 100/NRR

Capitalised value of Average Profit = Rs. 2,40,000 × 100/12

Capitalised value of Average Profit = Rs. 20,00,000

Capital Employed = Raju’s Capital + Rinku’s Capital + General Reserve – Profit & Loss

Capital Employed = Rs. 5,50,000 + Rs. 6,50,000 + Rs. 3,00,000 – Rs. 1,00,000

Capital Employed = Rs. 14,00,000

Goodwill = Capitalised Value of Average Profit – Capital Employed

Goodwill = Rs. 20,00,000 – Rs. 14,00,000

Goodwill = Rs. 6,00,000

📌 Teacher's Note
Under the Capitalisation Method, Capitalised Value of the Firm = Average/Super Profit × 100/Normal Rate of Return. Goodwill = Capitalised Value of the Firm − Actual Capital Employed.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q22 Dipu and Raju were partners in a firm. Following balance were appearing in the books of the firms: Particulars Amount Dipu’s Capit…

Dipu and Raju were partners in a firm. Following balance were appearing in the books of the firms:

ParticularsAmount
Dipu’s Capital A/c3,80,000
Raju’s Capital A/c2,90,000
Dipu’s Current A/c20,000
Raju’s Current A/c50,000
Profit and Loss A/c (Dr.)10,000
Deferred Revenue Expenditure15,000

Profit for last three years ended 31st March, were:

2024Rs. 95,000(including gain of Rs. 5,000 from sale of Machinery)
2025Rs. 72,000(including loss of vehicle destroyed by an accident on 31st March, 2025, Rs. 24,000)
2026Rs. 1,20,000(including overvaluation of stock by Rs. 12,000)

Calculate Goodwill of the firm by Capitalisation of Super Profit Method; if normal rate of return in the similar business is 8% p.a.

✅ Solution

Calculation of Average Profit:-

2024Rs. 95,000 – Rs. 5,000=Rs. 90,000
2025Rs. 72,000 – Rs. 24,000=Rs. 96,000
2026Rs. 1,20,000 – Rs. 12,000=Rs. 1,08,000

Average Profit = 90,000+96,000+1,08,000/3

Average Profit = 2,94,000/3

Average Profit = Rs. 98,000

Calculation of Capital Employed:-

Capital Employed = Dipu’s Capital + Raju’s Capital + Dipu’s Current A/c + Raju’s Current A/c – Profit & Loss A/c (Dr.) – Deferred Revenue Expenditure

Calculation of Capital Employed = Rs. 3,80,000 + Rs. 2,90,000 + Rs. 20,000 + Rs. 50,000 – Rs. 10,000 – Rs. 15,000

Calculation of Capital Employed = Rs. 7,15,000

Normal Profit = Capital Employed × NRR/100

Normal Profit = Rs. 7,15,000 × 8/100

Normal Profit = Rs. 57,200

Super Profit = Average Profit – Normal Profit

Super Profit = Rs. 98,000 – Rs. 57,200

Super Profit = Rs. 40,800

Goodwill = Super Profit × 100/NRR

Goodwill = Rs. 40,800 × 100/8

Goodwill = Rs. 5,10,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q23 Jay and Vijay were partners sharing profits and losses equally. They decide to share future profits in the ratio of 3:2 w.e.f. 1st…

Jay and Vijay were partners sharing profits and losses equally. They decide to share future profits in the ratio of 3:2 w.e.f. 1st April, 2026.

From the following Balance Sheet as at 31st March, 2026, calculate the value of goodwill on the basis of Capitalisation of Super Profit Method if the normal rate of return is 10% and average profit is Rs. 1,80,000.

LiabilitiesAmountAssetsAmount
Capital Account Goodwill2,30,000
Jay8,15,000 Computer3,40,000
Vijay6,55,00014,70,000Furniture2,00,000
Profit and loss A/c1,40,000Investments (Non-trade)1,65,000
Sundry Creditors3,80,000Stock4,70,000
Outstanding Rent1,10,000Sundry Debtors6,37,000
  Cash at Bank23,000
  Advertisement Suspense35,000
 21,00,000 21,00,000
✅ Solution

Calculation of Capital Employed:-

Capital Employed = Total Assets – Total Liabilities

Capital Employed = Computer + Furniture + Stock + Sundry Debtors + Cash at Bank – Sundry Creditors – Outstanding Rent

Capital Employed = Rs. 3,40,000 + Rs. 2,00,000 + Rs. 4,70,000 + 6,37,000 + Rs. 23,000 – Rs. 3,80,000 – Rs. 1,10,000

Capital Employed = Rs. 11,80,000

Normal Profit = Capital Employed × NRR/100

Normal Profit = Rs. 11,80,000 × 10/100

Normal Profit = Rs. 1,18,000

Super Profit = Average Profit – Normal Profit

Super Profit = Rs. 1,80,000 – Rs. 1,18,000

Super Profit = Rs. 62,000

Calculation of Goodwill:-

Goodwill = Super Profit ×100/NRR

Goodwill = Rs. 62,000 ×100/10

Goodwill = Rs. 6,20,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q24 The following information relates to a partnership firm : (a) Profits/Losses for the last six years : 1st year Rs. 20,000 Profit 4…

The following information relates to a partnership firm :

(a) Profits/Losses for the last six years :

1st yearRs. 20,000 Profit4th yearRs. 60,000 Profit
2nd yearRs. 60,000 Profit5th yearRs. 50,000 Profit
3rd yearRs. 10,000 Loss6th yearRs. 72,000 Profit

(b) Average Capital Employed is Rs. 2,00,000.

(c) Rate of normal profit is 15%.

Find out the value of goodwill on the basis of:

Four year's purchase of average profits.

Four year's purchase of super profits.

Capitalization of super profits.

✅ Solution

Total Profit = Rs. 20,000 + Rs. 60,000 – Rs. 10,000 + Rs. 60,000 + Rs. 50,000 + Rs. 72,000

Total Profit = Rs. 2,52,000

Average Profit = Rs. 2,52,000/6

Average Profit = Rs. 42,000

(i) Four year's purchase of average profits:

Value of goodwill at 4 year’s purchase of average profits = Rs. 42,000 × 4 = Rs 1,68,000

(ii) Four year’s purchases of super profits:

Normal Profit = Rs. 2,00,000 × 15%

Normal Profit = Rs. 30,000

Super Profit = Average Profit – Normal Profit

Super Profit = Rs. 42,000 – Rs. 30,000

Super Profit = Rs. 12,000

Value of Goodwill at 4 year’s Purchases of Super profit = Rs. 12,000 × 4 = Rs. 48,000

(iii) Capitalization of super profits:-

Goodwill = Super Profit × 100/Normal Rate of Return

Goodwill = Rs. 12,000 × 100/15

Goodwill = Rs. 80,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q25 A and B are partners sharing profits and losses in the ratio of 3 : 1. It was decided that with effect from 1st April, 2024 the pr…

A and B are partners sharing profits and losses in the ratio of 3 : 1. It was decided that with effect from 1st April, 2024 the profit sharing ratio will be 5 : 3. Goodwill is to be valued at 2 year's purchase of average of 3 year's profits. The profits for the years ending 31st March 2022, 2023 and 2024 were Rs. 36,000, Rs. 32,000 and Rs. 40,000 respectively.

Pass the necessary journal entry for the treatment of goodwill.

✅ Solution

Total Profit = Rs. 36,000 + Rs. 32,000 + Rs. 40,000

Total Profit = Rs. 1,08,000

Average Profit = Total Profit/Number of Year

Average Profit = Rs. 1,08,000/3

Average Profit = Rs. 36,000

Goodwill = Average Profit × Number of year purchases

Goodwill = Rs. 36,000 × 2

Goodwill = Rs. 72,000

Calculation of Sacrificing and Gaining Ratio:-

 A B
Old Ratio3:1
New Ratio5:3

A = 3/4-5/8 = (6 - 5)/8 = 1/8 (Sacrifice)

B = 1/4-3/8 = (2 - 3)/8 = (-1)/8 (Gain)

B’s Gained = Rs. 72,000 ×1/8 = Rs. 9,000

Hence, A has sacrificed Rs. 9,000 and B has gained Rs. 9,000.

DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2024    
April 1B’s Capital A/c 9,000 
 To A’s Capital A/c  9,000
 (Being goodwill adjusted to partners)   
📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q26 P, Q and R are partners sharing profits equally. They decided that in future R will get 1/7 share in profits. Goodwill already exi…

P, Q and R are partners sharing profits equally. They decided that in future R will get 1/7 share in profits. Goodwill already exists in the books at Rs. 27,000. On the day of change, firm's Goodwill is valued at Rs. 42,000. Give Journal Entries arising on account of change in profit sharing ratio.

✅ Solution

Calculation of Sacrificing and Gaining Ratio:-

 P Q R
Old Ratio1:1:1
New Ratio3:3:1

P = 1/3-3/7 = (7 - 9)/21 = (-2)/21 (Gain)

Q = 1/3-3/7 = (7 - 9)/21 = (-2)/21 (Gain)

R = 1/3-1/7 = (7 - 3)/21 = 4/21 (Sacrifice)

P’s Gained = Rs. 42,000 ×2/21 = Rs. 4,000

Q’s Gained = Rs. 42,000 ×2/21 = Rs. 4,000

R’s Sacrifice = Rs. 42,000 ×4/21 = Rs. 8,000

DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 P’s Capital A/cDr. 4,000 
 Q’s Capital A/cDr. 4,000 
 To R’s Capital A/c  8,000
 (Being R sacrifice goodwill to P and Q)   
📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q27 A. B and C were partners sharing profits and losses in the ratio of 7:3:2 From 1st April 2025, they decided to share profits and l…

A. B and C were partners sharing profits and losses in the ratio of 7:3:2 From 1st April 2025, they decided to share profits and losses in the ratio of 8:4:3 Goodwill is to be valued at the average of three year's profits preceding the date of change in profit sharing ratio. The profits for the years ending 31st March 2022, 2023, 2024 and 2025 were Rs. 52,000, Rs. 48,000, Rs. 60,000 and Rs. 90,000 respectively. Give the necessary journal entry.

✅ Solution

Total Profit = Rs. 48,000 + Rs. 60,000 + Rs. 90,000

Total Profit = Rs. 1,98,000

Average Profit = Total Profit/Number of Year

Average Profit = Rs. 1,98,000/3

Average Profit = Rs. 66,000

Calculation of Sacrificing and Gaining Ratio:-

 A B C
Old Ratio7:3:2
New Ratio8:4:3

A = 7/12-8/15 = (35 - 32)/60 = 3/60 (Sacrifice)

B = 3/12-4/15 = (15 - 16)/60 = (-1)/60 (Gain)

C = 2/12-3/15 = (10 - 12)/60 = (-2)/60 (Gain)

A’s Sacrifice = Rs. 66,000 ×3/60 = Rs. 3,300

B’s Gained = Rs. 66,000 ×1/60 = Rs. 1,100

C’s Gained = Rs. 66,000 ×2/60 = Rs. 2,200

DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2025    
April 01B’s Capital A/cDr. 1,100 
 C’s Capital A/cDr. 2,200 
 To A’s Capital A/c  3,300
 (Being A sacrifice goodwill to B and C)   
📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q28 Ravi, Jay and Vipin are partners sharing profits in the ratio of 5:4:1. It is now agreed they will share future profit in a new ra…

Ravi, Jay and Vipin are partners sharing profits in the ratio of 5:4:1. It is now agreed they will share future profit in a new ratio. Following Journal entry is passed for adjustment of goodwill due to change in profit-sharing ratio:

DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 Vipin’s Capital A/cDr. 90,000 
 To Ravi’s Capital A/c   60,000
 To Jay’s Capital A/c  30,000
 (Adjustment for goodwill due to change in profit sharing ratio)   

Find out new profit sharing ratio of Ravi, Jay and Vipin.

✅ Solution

Ravi and Jay are the sacrificing Partner.

Sacrificing Ratio = 60,000 : 30,000

Sacrificing Ratio = 2 : 1

Vipin Gained = 3/10

Calculation of New Profit Sharing Ratio:-

Ravi’s New Share = 5/10-2/10=3/10

Jay’s New Share = 4/10-1/10=3/10

Vipin’s New Share = 1/10+3/10=4/10

Hence, the new profit sharing Ratio = 3:3:4.

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q29 A and B are partners in a firm sharing profits in the ratio of 3: 2. They decided to share profits in the ratio of 3 : 4 w.e.f., A…

A and B are partners in a firm sharing profits in the ratio of 3: 2. They decided to share profits in the ratio of 3 : 4 w.e.f., April 1, 2024. On that date there was a credit balance of Rs. 70,000 in their Profit and Loss Account. Pass the necessary journal entry assuming that partners decide to distribute the profits.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2024    
April 01Profit and Loss A/cDr. 70,000 
 To A’s Capital A/c   42,000
 To B’s Capital A/c  28,000
 (Being undistributed profit share in old ratio)   
📝 Working Note

A’s Capital = Rs. 70,000 ×3/5 = Rs. 42,000

B’s Capital = Rs. 70,000 ×2/5 = Rs. 28,000

📌 Teacher's Note
When the profit-sharing ratio changes, no goodwill account is opened in the books. The gaining partner's capital account is debited and the sacrificing partner's capital account is credited with their share of goodwill — this is called the 'adjustment through capital accounts' method.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q30 A, B and C are partners sharing profits and losses in the ratio of 1: 2: 3. From April 1, 2016, they decided to share the profit i…

A, B and C are partners sharing profits and losses in the ratio of 1: 2: 3. From April 1, 2016, they decided to share the profit in the ratio of 2:3:4. On that date, Profit and Loss Account disclosed a debit balance of Rs. 90,000. Record the necessary journal entry for the distribution of the balance in the Profit and loss Account.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2016    
April 01A’s Capital A/cDr. 15,000 
 B’s Capital A/cDr. 30,000 
 C’s Capital A/cDr. 45,000 
 To Profit and Loss A/c  90,000
 (Being loss share in old ratio)   
📝 Working Note

A’s Capital = Rs. 90,000 ×1/6 = Rs. 15,000

B’s Capital = Rs. 90,000 ×2/6 = Rs. 30,000

C’s Capital = Rs. 90,000 ×3/6 = Rs. 45,000

📌 Teacher's Note
When the profit-sharing ratio changes, no goodwill account is opened in the books. The gaining partner's capital account is debited and the sacrificing partner's capital account is credited with their share of goodwill — this is called the 'adjustment through capital accounts' method.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q31 A and B sharing profits and losses in the ratio of 2:3, decide to share future profit and losses equally with effect from 1st Apri…

A and B sharing profits and losses in the ratio of 2:3, decide to share future profit and losses equally with effect from 1st April, 2024. An extract of their Balance Sheet as at 31st March, 2024 is as follows:

LiabilitiesRs.AssetsRs.
Workmen Compensation Reserve40,000  

Show the accounting treatment under the following alternative cases :

Case (i) If there is no other information.

Case (ii) If a claim on account of workmen's compensation is estimated at Rs. 25,000.

Case (iii) If a claim on account of workmen's compensation is estimated at Rs. 40,000.

Case (iv) If a claim on account of workmen's compensation is estimated at Rs.50,000.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2024Case (i)   
April 01Workmen Compensation Reserve a/cDr. 40,000 
 To A’s Capital A/c   16,000
 To B’s Capital A/c   24,000
 (Being workmen compensation reserve transfer to partners’ capital account in old ratio)   
 Case (ii)   
 Workmen Compensation Reserve a/cDr. 40,000 
 To Provision for Workmen Compensation Claim a/c  25,000
 To A’s Capital A/c  6,000
 To B’s Capital A/c  9,000
 (Being workmen compensation claim settled and excess amount will distributed between partners in old profit sharing ratio)   
 Case (iii)   
 Workmen Compensation Reserve a/cDr. 40,000 
 To Provision for Workmen Compensation Claim a/c  40,000
 (Being workmen compensation claim settled)   
 Case (iv)   
 Workmen Compensation Reserve a/cDr. 40,000 
 Revaluation a/cDr. 10,000 
 To Provision for Workmen Compensation Claim a/c  50,000
 (Being Provision for workmen compensation and short amount charged from revaluation)   
 A’s Capital a/cDr. 4,000 
 B’s Capital a/cDr. 6,000 
 To Revaluation a/c  10,000
 (Being revaluation loss transferred to partner’s capital account)   
📌 Teacher's Note
When the profit-sharing ratio changes, no goodwill account is opened in the books. The gaining partner's capital account is debited and the sacrificing partner's capital account is credited with their share of goodwill — this is called the 'adjustment through capital accounts' method.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q32 P, Q and R were partners in a firm sharing profits in the ratio of 1:1:2. On 31st March, 2018, their balance sheet showed a debit …

P, Q and R were partners in a firm sharing profits in the ratio of 1:1:2. On 31st March, 2018, their balance sheet showed a debit balance of Rs. 9,000 in the profit and loss account and a Workmen Compensation Reserve of Rs. 64,000. From 1st April, 2018 they decided to share profits in the ratio of 2:2:1. For this purpose it was agreed that:

(a) Goodwill of the firm was valued at Rs. 4,00,000.

(b) A claim on account of workmen compensation of Rs. 30,000 was admitted.

Pass necessary journal entries on reconstitution of the firm.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2018    
April 01Profit and Loss A/cDr. 9,000 
 To P’s Capital A/c   2,250
 To Q’s Capital A/c   2,250
 To R’s Capital A/c   4,500
 (Being profit is distributed among the partners in old ratio)   
April 01Workmen Compensation Fund A/cDr. 64,000 
 To Workmen Compensation Claim A/c  30,000
 To P’s Capital A/c  8,500
 To Q’s Capital A/c  8,500
 To R’s Capital A/c  17,000
 (Being workmen compensation claimed and balance credited to partners’ capital account)   
April 01P’s Capital A/cDr. 60,000 
 Q’s Capital A/cDr. 60,000 
 To R’s Capital A/c  1,20,000
 (Being goodwill is revalued of the firm and adjustment made)   
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 P Q R
Old Ratio1:1:2
New Ratio2:2:1

P = 1/4-2/5 = (5 - 8)/20 = (-3)/20 (Gain)

Q = 1/4-2/5 = (5 - 8)/20 = (-3)/20 (Gain)

R = 2/4-1/5 = (10 - 4)/20 = 6/20 (Sacrifice)

Goodwill = Rs. 4,00,000

P’s Gained = Rs. 4,00,000 ×3/20 = Rs. 60,000

Q’s Gained = Rs. 4,00,000 ×3/20 = Rs. 60,000

R’s Sacrifice = Rs. 4,00,000 ×6/20 = Rs. 1,20,000

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q33 A, B and C sharing profits and losses in the ratio of 4:3:2, decide to share profit and losses in the ratio of 2:3:4 with effect f…

A, B and C sharing profits and losses in the ratio of 4:3:2, decide to share profit and losses in the ratio of 2:3:4 with effect from 1st April, 2024. Following is an extract of their Balance Sheet as at 31st March, 2024:

LiabilitiesRs.AssetsRs.
Investment Fluctuation Reserve54,000Investments (at cost)6,00,000

Show the accounting treatment under the following alternative cases :

Case (i) If there is no other information.

Case (ii) If the market value of Investments is Rs. 6,00,000.

Case (iii) If the market value of Investments is Rs. 5,91,000.

Case (iv) If the market value of Investments is Rs. 5,28,000.

Case (v) If the market value of Investments is Rs. 6,60,000.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2024Case (i)   
April 01Investment Fluctuation Reserve a/cDr. 54,000 
 To A’s Capital A/c   24,000
 To B’s Capital A/c   18,000
 To C’s Capital A/c   12,000
 (Being investment fluctuation reserve transfer to partners’ capital account in old ratio)   
 Case (ii)   
April 01Investment Fluctuation Reserve a/cDr. 54,000 
 To A’s Capital A/c  24,000
 To B’s Capital A/c  18,000
 To C’s Capital A/c  12,000
 (Being investment fluctuation reserve transfer to partners’ capital account in old ratio)   
 Case (iii)   
April 01Investment Fluctuation Reserve A/cDr. 54,000 
 To Investments A/c  9,000
 To A’s Capital A/c  20,000
 To B’s Capital A/c  15,000
 To C’s Capital A/c  10,000
 (Being excess investment fluctuation reserve transfer to partners’ capital account in their old profit sharing ratio)   
 Case (iv)   
April 01Investment Fluctuation Reserve a/cDr. 54,000 
 Revaluation a/cDr. 18,000 
 To Investment a/c  72,000
 (Being decreased value of the investment adjusted by revaluation account)   
April 01A’s Capital a/cDr. 8,000 
 B’s Capital a/cDr. 6,000 
 C’s Capital a/cDr. 4,000 
 To Revaluation a/c  18,000
 (Being revaluation loss transferred to partner’s capital account)   
 Case (v)   
April 01Investment Fluctuation Reserve A/cDr. 54,000 
 To A’s Capital A/c  24,000
 To B’s Capital A/c  18,000
 To C’s Capital A/c  12,000
 (Being transfer of excess investment fluctuation reserve)   
April 01Investment A/cDr. 60,000 
 To Revaluation A/c  60,000
 (Being Value of investment increased to market value)   
April 01Revaluation A/cDr. 60,000 
 To A’s Capital A/c  26,667
 To B’s Capital A/c  20,000
 To C’s Capital A/c  13,333
 (Being profit transfer to partners’ capital account)   
📌 Teacher's Note
When the profit-sharing ratio changes, no goodwill account is opened in the books. The gaining partner's capital account is debited and the sacrificing partner's capital account is credited with their share of goodwill — this is called the 'adjustment through capital accounts' method.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q34 Samiksha, Ash and Divya were partners in a firm sharing profits and losses in the ratio of 5:3:2. With effect from 1st April, 2026…

Samiksha, Ash and Divya were partners in a firm sharing profits and losses in the ratio of 5:3:2. With effect from 1st April, 2026, they agreed to share future profits and losses in the ratio of 2:5:3. Their Balance Sheet showed a debit balance of Rs. 50,000 in the Profit and Loss Account and a balance of Rs. 40,000 in the investment Fluctuation Reserve. For this purpose, it was agreed that:

(i) Goodwill of the firm be valued at Rs. 3,00,000.

(ii) Investments of book value of Rs. 5,00,000 be valued at Rs. 4,80,000.

Pass the necessary journal entries to record the above transactions in the books of the firm.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
1.)Samiksha’s Capital A/cDr. 25,000 
 Ash’s Capital A/cDr. 15,000 
 Divya’s Capital A/cDr. 10,000 
 To Profit and Loss A/c   50,000
 (Being debit balance of P&L Debited to Partners 5:3:2.)   
2.)Investment Fluctuation Reserve a/cDr. 40,000 
 To Investment A/c  20,000
 To Samiksha’s Capital A/c  10,000
 To Ash’s Capital A/c  6,000
 To Divya’s Capital A/c  4,000
 (Being IFR distributed between partners in 5:3:2)   
3.)Ash’s Capital A/cDr. 60,000 
 Divya’s Capital A/cDr. 30,000 
 To Samiksha’s Capital A/c  90,000
 (Being firm’s goodwill adjusted)   

Calculation of Sacrificing Ratio:-

Old Ratio:- 5:3:2

New Ratio:-2:5:3

Samiksha = 5/10-2/10=5-2/10=3/10 (Sacrifice)

Ash = 3/10-5/10=3-5/10=2/10 (Gain)

Divya = 2/10-3/10=2-3/10=1/10 (Gain)

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q35 P,Q, and R are partners in a firm sharing profits in the ratio of 2:2:1. On March 31, 2024, their Balance Sheet showed a general r…

P,Q, and R are partners in a firm sharing profits in the ratio of 2:2:1. On March 31, 2024, their Balance Sheet showed a general reserve of Rs. 3,00,000. On that date they decide to share future profit equally. Record the necessary journal entry in the books of the firm under the following circumstances:

(i) When they want to transfer the general reserve in their capital accounts.

(ii) When they don’t want to transfer general reserve in their capital accounts and prefer to record an adjustment entry for the same.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
Case 1.)General Reserve A/cDr. 3,00,000 
 To P’s Capital A/c   1,20,000
 To Q’s Capital A/c   1,20,000
 To R’s Capital A/c   60,000
 (Being general Reserve distributed to partners in 2:2:1)   
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
Case 2.)R’s Capital A/cDr. 40,000 
 To P’s Capital A/c   20,000
 To Q’s Capital A/c   20,000
 (Being firm’s goodwill adjusted)   

Calculation of Sacrificing Ratio:-

Old Ratio:- 2:2:1

New Ratio:-1:1:1

P = 2/5-1/3=6-5/15=1/15 (Sacrifice)

Q = 2/5-1/3=6-5/15=1/15 (Sacrifice)

R = 1/5-1/3=3-5/15=-2/10 (Gain)

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q36 Mahi and Neena are partners sharing profits and losses equally. From 1st April, 2026, they decided to share profits and losses in …

Mahi and Neena are partners sharing profits and losses equally. From 1st April, 2026, they decided to share profits and losses in the ratio of 2:3. The firm’s Balance Sheet shows debit balance of Profit and Loss Account of Rs. 40,000.

Partners decide to continue with the above balance in the books of the reconstituted firm.

✅ Solution

Old Ratio = 1:1

New Ratio = 2:3

Sacrificing Ratio = Old Ratio – New Ratio

Mahi = 1/2-2/5=5-4/10=1/10 (Sacrifice)

Neena = 1/2-3/5=5-6/10=1/10 (Gain)

Calculation of Amount of Goodwill = Rs. 40,000 × 1/10 = Rs. 4,000

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q37 X, Y and Z were sharing profits and losses in the ratio of 5:3:2. They decided to share future profits and losses in the ratio of …

X, Y and Z were sharing profits and losses in the ratio of 5:3:2. They decided to share future profits and losses in the ratio of 2 : 3 : 5 with effect from 1.4.2022. They decided to record the effect of the following, without effecting their book values:-

(i) General Reserve  Rs. 24,000

(ii) Profit and Loss Account (Dr.) Rs. 12,000

Pass the necessary adjusting entry.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2022    
Mar. 31Z’s Capital a/cDr. 3,600 
 To X’s Capital A/c   3,600
 (Being adjustment for profit and loss account balance and advertisement suspense account on change in profit sharing ratio)   
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 X Y Z
Old Ratio5:3:2
New Ratio2:3:5

X = 5/10-2/10 = (5 - 2)/10 = 3/10 (Sacrifice)

Y = 3/10-3/10 = 0

Z = 2/10-5/10 = (2 - 5)/10 = 3/10 (Gain)

Calculation of Net Profit:-

Profit and Loss AccountRs. 24,000
Less: Advertisement Suspense AccountRs. 12,000
 Rs. 12,000

Z’s Capital = Rs. 12,000 ×3/10 = Rs. 3,600

X’s Capital = Rs. 12,000 ×3/10 = Rs. 3,600

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q38 Rambha and Urvashi were partners in a fimr sharing profits and losses in the ratio of 13:12. From 1st April, 2024, they decide the…

Rambha and Urvashi were partners in a fimr sharing profits and losses in the ratio of 13:12. From 1st April, 2024, they decide the share future profit and losses in the ratio of 12:13.

On this date, their balance sheet showed a debit balance of Rs. 2,50,000 in Advertising Suspense Accounts and a balance of Rs. 5,00,000 in contingency Reserve.

Partners decided to write off the balance of the Advertising Suspense Account but decided not to distribute Contingency Reserve.

Pass necessary journal entries for the above transactions on the reconstitution of the firm. Show your working clearly.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2023    
April 1Rambha’s Capital A/cDr. 1,30,000 
  Urvashi’s Capital A/cDr. 1,20,000 
  To Advertising Suspense A/c   2,50,000
 (Being advertising suspense balance written off in old ratio)   
  Urvashi’s Capital A/cDr. 20,000 
  To Rambha’s Capital A/c   20,000
  (Being adjustment of contingency reserve)    

Calculation of Sacrificing Ratio:-

Old Ratio = 13:12

New Ratio = 12:13

Rambha = 13/25-12/25=13-12/25=1/25 (Sacrifice)

Urvashi = 12/25-13/25=12-13/25=1/25 (Gain)

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q39 Tanvi, Rani and Divya are sharing profits and losses in an agreed ratio. They decide to share profits and losses in the ratio of 5…

Tanvi, Rani and Divya are sharing profits and losses in an agreed ratio. They decide to share profits and losses in the ratio of 5:2:3 with effect from 1st April, 2026. They also decide to record the effect of the following without affecting their book values by passing a single adjustment journal entry:

(a) General ReserveRs. 2,30,000
(b) Profit and Loss A/c (Dr.)Rs. 1,20,000
(c) Advertisement Suspense A/cRs. 50,000
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2026    
April 1Tanvi’s Capital A/cDr. 60,000 
 To Divya’s Capital A/c   60,000
 (Adjustment made for general reserve, profit and loss a/c advertisement suspense a/c due to change in profit sharing ratio)   

Calculate each partner’s Gain or sacrifice due to change in profit sharing ratio and their old profit sharing ratio.

✅ Solution

Total Adjusted Amount = General Reserve – Profit and Loss A/c (Dr.) – Advertisement Suspense A/c

Total Adjusted Amount = Rs. 2,30,000 – Rs. 1,20,000 – Rs. 50,000

Total Adjusted Amount = Rs. 60,000

Here,

Tanvi is Debited so, she is the gaining Partner and Divya is Credited so, she is the Sacrificing Partner.

Adjustment Amount = Net Effect × Share Changes

Rs. 60,000 = Rs. 60,000 × Share Changes

Share Changes = 60,000/60,000

Share Changes = 1

Hence, the sacrificing and gaining ratio of the partners is

Tanvi’s Gain = 1/10

Divya’s Sacrifice = 1/10

Calculation of Old Profit Sharing Ratio:-

Tanvi’s Gaining Ratio = New Ratio – Old Ratio

1/10=5/10- Old Ratio

Tanvi’s Old Ratio = 5/10-1/10

Tanvi’s Old Ratio = (5-1)/10

Tanvi’s Old Ratio = 4/10

Rani’s Old Ratio = 2/10

Divya’s Old Ratio = 3/10+1/10

Divya’s Old Ratio = 3+1/10

Divya’s Old Ratio = 4/10

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q40(A) A, B, C and D are partners in a firm sharing profits and losses in the ratio of 2:2:1:1 They decided to share future profits and l…

A, B, C and D are partners in a firm sharing profits and losses in the ratio of 2:2:1:1 They decided to share future profits and losses in the ratio of 3:2:2:3. For This purpose goodwill of the firm valued at Rs. 1,50,000. There was also a reserve of Rs. 60,000 in the books of the firm.

Find out sacrifice ratio and gaining ratio and pass necessary journal entry assuming that reserve is not to be distributed.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
Mar. 31C’s Capital A/cDr. 7,000 
 D’s Capital A/cDr. 28,000 
 To A’s Capital A/c   7,000
 To B’s Capital A/c   28,000
 (Being goodwill and reserve adjusted and amount distributed in profit sharing ratio)   
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 A B C D
Old Ratio2:2:1:1
New Ratio3:2:2:3

A = 2/6-3/10 = (10 - 9)/30 = 1/30 (Sacrifice)

B = 2/6-2/10 = (10 - 6)/30 = 4/30 (Sacrifice)

C = 1/6-2/10 = (5 - 6)/10 = 1/30 (Gain)

D = 1/6-3/10 = (5 - 9)/30 = 4/30 (Gain)

Value of GoodwillRs. 1,50,000
Less: ReserveRs. 60,000
 Rs. 2,10,000

A’s Capital = Rs. 2,10,000 ×1/30 = Rs. 7,000 (Sacrifice)

B’s Capital = Rs. 2,10,000 ×4/30 = Rs. 28,000 (Sacrifice)

C’s Capital = Rs. 2,10,000 ×1/30 = Rs. 7,000 (Gain)

D’s Capital = Rs. 2,10,000 ×4/30 = Rs. 28,000 (Gain)

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q40(B) Arun and Varun were in partnership sharing profits in the ratio of 2 : 3. With effect from 1st May 2025 they agreed to share in th…

Arun and Varun were in partnership sharing profits in the ratio of 2 : 3. With effect from 1st May 2025 they agreed to share in the ratio of 1: 2. For this purpose the goodwill of the firm is to be valued at two year's purchase of the average profits of last three years, which were Rs. 1,50,000, Rs. 1,40,000 and Rs. 52,20,000 respectively. Reserves appear in the books at Rs. 1,10,000. Partners do not want distribute the reserves. You are required to give effect to the change by passing a single journal entry.

[Ans. Debit Varun and Credit Arun by Rs. 30,000.]

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
2025    
Mar. 31Varun’s Capital A/cDr. 30,000 
 To Arun’s Capital A/c   30,000
 (Being goodwill and reserve adjusted and amount distributed in profit sharing ratio)   
📝 Working Note

Average Profit = Total Profit/Number of Year

Total Profit = Rs. 1,50,000 + Rs. 1,40,000 + Rs. 2,20,000 = Rs. 5,10,000

Average Profit = Rs. 5,10,000/3

Average Profit = Rs. 1,70,000

Value of Goodwill = Rs. 1,70,000 × 2 = Rs. 3,40,000

Value of GoodwillRs. 3,40,000
Add: ReserveRs. 1,10,000
 Rs. 4,50,000

Calculation of Sacrificing and Gaining Ratio:-

 A B
Old Ratio2:3
New Ratio1:2

Arun = 2/5-1/3 = (6 - 5)/15 = 1/15 (Sacrifice)

Varun = 3/5-2/3 = (9 - 10)/15 = 1/15 (Gain)

Arun will Sacrifice for Varun = Rs. 4,50,000 ×1/15 = Rs. 30,000

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q41 A, B and C are partners in a firm sharing profits in the ratio of 3:2:1. Their Balance Sheet as at 31st March, 2026 is as under: L…

A, B and C are partners in a firm sharing profits in the ratio of 3:2:1. Their Balance Sheet as at 31st March, 2026 is as under:

LiabilitiesRs.AssetsRs.
Sundry Creditors2,00,000Premises3,00,000
General Reserve1,20,000Machinery1,80,000
Capitals :
A 3,00,000
 B 1,50,000
 C  1,00,000
5,50,000Stock
Debtors
Bank
1,20,000
2,50,000
20,000
 8,70,000 8,70,000

From 1st April, 2026, the partners agreed to share future profits in the ratio on 4:3 :3 and make the following adjustments :

(i) Premises will be appreciated by 10% and stock by Rs. 10,000.

(ii) A provision for doubtful debts is to be made on debtors @ 4%.

(iii)Sundry Creditors be reduced by Rs. 15,000.

(iv)Machinery will be depreciated by 5%.

(v) Goodwill of the firm is valued at Rs. 48,000.

Prepare Revaluation Account, Partner's Capital Accounts and Balance Sheet of the reconstituted firm.

✅ Solution

Revaluation Account

ParticularsAmountParticularsAmount
To Provision for Doubtful Debts A/c10,000By Premise A/c30,000
To Machinery A/c9,000By Stock A/c10,000
To Profit on Revaluation a/c By Sundry Creditors A/c15,000
A’s Capital18,000   
B’s Capital12,000   
C’s Capital6,00036,000  
 55,000 55,000

Partners Capital Account

ParticularsABCParticularsABC
To A’s Capital A/c  4,800By Balance b/d3,00,0001,50,0001,00,000
To B’s Capital A/c  1,600By General Res. A/c60,00040,00020,000
To Balance c/d3,82,8002,03,6001,19,600By Revaluation A/c18,00012,00060,000
    By C’s Capital A/c4,8001,600 
 3,82,8002,03,6001,26,000 3,82,8002,03,6001,26,000

Balance Sheet

LiabilitiesAmountAssetsAmount
Sundry Creditor1,85,000Premises3,30,000
Capital Machinery1,71,000
A3,82,800 Stock1,30,000
B2,03,600 Debtors2,50,000 
C1,19,6007,06,000Less: Provision for Debt.10,0002,40,000
   Bank20,000
 8,91,000 8,91,000
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 A B C
Old Ratio3:2:1
New Ratio4:3:3

A = 3/6-4/10 = (15 - 12)/30 = 3/30 (Sacrifice)

B = 2/6-3/10 = (10 - 9)/30 = 1/30 (Sacrifice)

C = 1/6-3/10 = (5 - 9)/30 = 4/30 (Gain)

A’s Sacrifice = Rs. 48,000 ×3/30 = Rs. 4,800

B’s Sacrifice = Rs. 48,000 ×1/30 = Rs. 1,600

C’s Gain = Rs. 48,000 ×4/30 = Rs. 6,400

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q42 P, Q and R were partners sharing profits in the ratio of 1:3:2. Following was their Balance Sheet as at 31st March, 2026: Liabilit…

P, Q and R were partners sharing profits in the ratio of 1:3:2. Following was their Balance Sheet as at 31st March, 2026:

LiabilitiesRs.AssetsRs.
Sundry Creditors2,80,000Land and Building5,00,000
Outstanding Expenses
Workmen Compensation Reserve
15,000
60,000
Investments
(Market Value Rs.1,10,000)
1,25,000
Investment Fluctuation Reserve45,000Stock2,20,000
Capital Accounts:
P   2,00,000
Q  5,00,000
 R 3,00,000
10,00,000Sundry Debtors
Bank Balance
Advertisement Suspense
3,20,000
1,60,000
75,000
 14,00,000 14,00,000

On 1st April, 2026 they decided to share future profits in the ratio of 4:6:5. It was agreed that:

Claim for Workmen Compensation has been estimated at Rs. 1,00,000

A motorcycle valued at Rs. 30,000 was unrecorded and is now to be now to be recorded in the books.

Outstanding expenses were not payable anymore.

Value of stock be increased to Rs. 2,90,000.

A provision for doubtful debts be created @ 5% on Sundry Debtors

Goodwill is valued at Rs. 1,00,000.

The work of reconstitution was assigned to firm's auditors. They were paid Rs. 20,000 for this work.

Pass journal entries and prepare Revaluation Account.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 P’s Capital A/cDr. 12,500 
 Q’s Capital A/cDr. 37,500 
 R’s Capital A/cDr. 25,000 
 To Advertisement Suspense A/c   75,000
 (Being accumulated loss transfer to capital account in old profit sharing ratio)    
 Investment Fluctuation Reserve A/cDr. 45,000 
 To Investment A/c   15,000
 To P’s Capital A/c   5,000
 To Q’s Capital A/c   15,000
 To R’s Capital A/c   10,000
 (Being loss on investment and excess of reserve credited to capital account)    
 Workmen Compensation Reserve A/cDr. 60,000 
 Revaluation A/cDr. 40,000 
 To Pro. For Workmen Compensation Claim a/c   1,00,000
 (Being provision for workmen compensation created)    
 Motor Cycle A/cDr. 30,000 
 Outstanding Expenses A/cDr. 15,000 
 Stock A/cDr. 70,000 
 To Revaluation A/c    
 (Being adjustment of assets and liabilities recorded in revaluation account)    
 Revaluation A/cDr. 16,000 
 To Pro. For Doubtful Debts A/c   16,000
 (Being provision made for doubtful debts)    
 Revaluation A/cDr. 20,000 
 To Bank A/c   20,000
 (Being payment of expenses of revaluation)    
 Revaluation A/cDr. 39,000 
 To P’s Capital A/c   6,500
 To Q’s Capital A/c   19,500
 To R’s Capital A/c   13,000
 (Being revaluation profit distributed between partners)    
 P’s Capital A/cDr. 10,000 
 To Q’s Capital A/c   10,000
 (Being goodwill change in profit sharing ratio)    

Revaluation Account

ParticularsAmountParticularsAmount
To Provision for workmen com. Claim A/c40,000By Motor Cycle A/c30,000
To Provision for Doubtful Debts A/c16,000By Outstanding Exp. A/c15,000
To Bank A/c20,000By Stock A/c70,000
To Profit on Revaluation   
P’s Capital6,500   
Q’s Capital19,500   
R’s Capital13,00039,000  
 1,15,000 1,15,000
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 P Q R
Old Ratio1:3:2
New Ratio4:6:5

P = 1/6-4/15 = (5 - 8)/30 = 3/30 (Gain)

Q = 3/6-6/15 = (15 – 12)/30 = 3/30 (Sacrifice)

R = 2/6-2/15 = (10 - 10)/30 = 0

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q43 A, B and C are partners sharing profits and losses in the ratio of 2 : 2:1 From 1st April, 2023 they decided to share future profi…

A, B and C are partners sharing profits and losses in the ratio of 2 : 2:1 From 1st April, 2023 they decided to share future profits and losses equally.

Following balances appeared in their books:

Profit and Loss A/c (Cr.)    20,000

Advertisement Suspense A/c (Dr.) 15,000

Workmen Compensation Reserve  60,000

It was agreed that :

Goodwill should be valued at two year's purchase of super profits. Firm's average profits. Firm's average profits are Rs. 75,000. Capital invested in the business is Rs. 6,00,000 and normal rate of return is 10%.

Furniture (book value of Rs. 50,000) be reduced to Rs. 30,000.

Computers (book value of Rs. 40,000) be reduced by Rs. 10,000.

Claim on account of Workmen's Compensation amounted to Rs. 50,000.

Investments (book value of Rs. 30,000) were revalue at Rs. 25,000.

Pass necessary journal entries for the above.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 Profit and Loss A/cDr. 20,000 
 To A’s Capital A/c   8,000
 To B’s Capital A/c   8,000
 To C’s Capital A/c   4,000
 (Being profit distributed in old ratio)    
 A’s Capital A/cDr. 6,000 
 B’s Capital A/cDr. 6,000 
 C’s Capital A/cDr. 3,000 
 To Advertisement Suspense A/c   15,000
 (Being loss transfer to partners’ capital account)    
 Workmen Comp. Reserve A/cDr. 60,000 
 To Provision Workmen Comp. Reserve A/c   50,000
 To P’s Capital A/c   4,000
 To Q’s Capital A/c   4,000
 To R’s Capital A/c   2,000
 (Being excess of workmen compensation reserve credited to capital account)    
 C’s Capital A/cDr. 4,000 
 To A’s Capital A/c   2,000
 To B’s Capital A/c   2,000
 (Being goodwill adjusted on change in profit sharing ratio)    
 Revaluation A/cDr. 35,000 
 To Furniture A/c   20,000
 To Office Equipment A/c   10,000
 To Investments A/c   5,000
 (Being value of assets decrease)    
 A’s Capital A/cDr. 14,000 
 B’s Capital A/cDr. 14,000 
 C’s Capital A/cDr. 7,000 
 To Revaluation A/c   35,000
 (Being loss on revaluation transferred to partners’ capital account in old ratio)    
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 A B C
Old Ratio2:2:1
New Ratio1:1:1

A = 2/5-1/3 = (6 - 5)/15 = 1/15 (Sacrifice)

B = 2/5-1/3 = (6 – 5)/15 = 1/15 (Sacrifice)

C = 1/5-1/3 = (3 - 5)/15 = 2/15 (Gain)

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q44 Asha, Rina and Chahat were partners in a firm sharing profit s and losses in the ratio of 2:2:1. Their Balance Sheet as at 31st Ma…

Asha, Rina and Chahat were partners in a firm sharing profit s and losses in the ratio of 2:2:1. Their Balance Sheet as at 31st March, 2019 was as follows:

LiabilitiesRs.AssetsRs.
Creditors12,00,000Plant and Machinery14,80,000
General Reserve2,00,000Stock2,20,000
Capitals: Sundry Debtors2,60,000 
 Asha 3,00,000 Less: Pro. For Doubtful Debts20,0002,40,000
 Rina 2,00,000 Bank60,000
 Chahat 1,00,000   
 20,00,000 20,00,000

Asha, Rina and Chahat decided to share future profits equally with effect from 1st April, 2019. For this, it was agreed that:

(i) Goodwill of the firm be valued at Rs. 1,50,000.

(ii) Bad debts amounted to Rs. 40,000. A provision for doubtful debts was to be made @ 5% on debtors. Pass the necessary journal entries to record the above transactions in the books of the firm.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 General Reserve A/cDr. 2,00,000 
 To Asha’s Capital A/c   80,000
 To Rina’s Capital A/c   80,000
 To Chahat’s Capital A/c   40,000
 (Being GR distributed in old ratio)    
 Revaluation A/cDr. 40,000 
 To Bad Debts A/c   40,000
 (Being amount of bad debts recorded)    
 Provision for Doubtful Debts A/cDr. 9,000 
 To Revaluation A/c   9,000
 (Being provision for Doubtful debts decreased)    
 Asha’s Capital A/cDr. 12,400 
 Rina’s Capital A/cDr. 12,400 
 Chahat’ Capital A/cDr. 6,200 
 To Revaluation A/c   31,000
 (Being Loss on revaluation debited to partners)    
 Chahat’s Capital A/cDr. 20,000 
 To Asha’s Capital A/c   10,000
 To Rina’s Capital A/c   10,000
 (Being firms goodwill adjusted)    

Revaluation Account

ParticularsAmountParticularsAmount
To Bad Debts A/c40,000By Provision for Doubtful Debts A/c9,000
  By loss on Revolution A/c 
  Asha12,400 
   Rina12,400 
   Chahat6,2003,1000
 40,000 40,000

Calculation of Goodwill:-

Asha’s Share = Rs. 1,50,000 × 1/15 = 10,000 (Credit)

Rina’s Share = Rs. 1,50,000 × 1/15 = 10,000 (Credit)

Chahat’s Share = Rs. 1,50,000 × 1/15 = 10,000 (Debit)

📌 Teacher's Note
When the profit-sharing ratio changes, no goodwill account is opened in the books. The gaining partner's capital account is debited and the sacrificing partner's capital account is credited with their share of goodwill — this is called the 'adjustment through capital accounts' method.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q45 X and Y are partners sharing profits and losses in the ratio of 4: 3. Their Balance Sheet as at 31 st March, 2026 stood as follows…

X and Y are partners sharing profits and losses in the ratio of 4: 3. Their Balance Sheet as at 31 st March, 2026 stood as follows:

LiabilitiesRs.AssetsRs.
Sundry Creditors28,000Cash20,000
Reserve42,000Sundry Debtors1,20,000
Capital Accounts:
 X 2,40,000
 Y 1,20,000
3,60,000Stock
Fixed Assets
1,40,000
1,50,000
 4,30,000 4,30,000

They decided that with effect from 1st April, 2026, they will share profits and losses in the ratio of 2:1. For this purpose they decided that :

Fixed assets are to be depreciated by 10%.

A provision of 6% be made on debtors for doubtful debts.

Stock be valued at Rs. 1,90.000.

An amount of Rs. 3,700 included in creditors is not likely to be claimed.

Partners decided to record the revised values in the books. However, they do not want to disturb the reserves. You are required to prepare journal entries, capital accounts of the partners and the revised balance sheet.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 Revaluation A/cDr. 22,200 
 To Fixed Assets A/c   15,000
 To Provision for Doubtful Debts A/c   7,200
 (Being value of fixed assets decreased and provision for doubtful debts made)    
 Stock A/cDr. 50,000 
 Sundry Creditors A/cDr. 3,700 
 To Revaluation A/c   53,700
 (Being value of stock is increased and creditors are decreased)    
 Revaluation A/cDr. 31,500 
 To X’s Capital A/c   18,000
 To Y’s Capital A/c   13,500
 (Being revaluation profit distributed between partners)    
 X’s Capital A/cDr. 4,000 
 To Y’s Capital A/c   4,000
 (Being reserves are adjusted on change in profit sharing ratio )    

Revaluation Account

ParticularsAmountParticularsAmount
To Fixed Assets A/c15,000By Stock A/c50,000
To Provision for Doubtful Debts A/c7,200By Sundry Creditors A/c3,700
To Profit on Revaluation   
X’s Capital18,000   
Y’s Capital13,50031,500  
 53,700 53,700

Partner’s Capital Account

ParticularsXYParticularsXY
To Y’s Capital A/c4,000-By Balance b/d2,40,0001,20,000
To Balance c/d2,54,0001,37,500By Revaluation A/c18,00013,500
   By X’s Capital A/c-4,000
      
 2,58,0001,37,500 2,58,0001,37,500
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 X Y
Old Ratio4:3
New Ratio2:1

X = 4/7-2/3 = (12 - 14)/21 = 2/21 (Gain)

Y = 3/7-1/3 = (9 – 7)/21 = 2/21 (Sacrifice)

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q46 P, Q and R are in partnership sharing profits and losses in the ratio of 5:4:3. On 31st March 2026, their balance sheet was as fol…

P, Q and R are in partnership sharing profits and losses in the ratio of 5:4:3. On 31st March 2026, their balance sheet was as follows:

LiabilitiesRs.AssetsRs.
Sundry Creditors50,000Cash at Bank40,000
Outstanding Expenses5,000Sundry Debtors2,10,000
General Reserve75,000Stock3,00,000
Capital Accounts:
 P 4,00,000
 Q 3,00,000
R  2,00,000
9,00,000Furniture
Plant & Machinery
60,000
4,20,000
 10,30,000 10,30,000

It was decided that with effect from 1st April 2026, the profit sharing ratio will be 4:3:2. For this purpose the following revaluations were made :

Furniture be taken at 80% of its value.

Stock be appreciated by 20%.

Plant & Machinery be valued at Rs. 4,00,000.

Create provision for doubtful debts for Rs. 10,000 on debtors

Outstanding expenses be increased by Rs. 3,000.

Partners agreed that altered values are not to be recorded in the books and they also do not want to distribute the general reserve.

You are required to post a single journal entry to give effect to the above. Also prepare the revised Balance Sheet.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 P’s Capital A/cDr. 2,500 
 To R’s Capital A/c   2,500
 (Being revaluation adjustment of assets and liabilities and for reserves on change in profit sharing ratio)    

Balance Sheet

LiabilitiesAmountAssetsAmount
Sundry Creditors50,000Cash at Bank40,000
Outstanding Expenses5,000Sundry Debtors2,10,000
General Reserve 75,000Stock3,00,000
Capital  Furniture 60,000
P3,97,500 Plant & Machinery 4,20,000
Q3,00,000    
R2,02,5009,00,000  
 10,30,000 10,30,000
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 P Q R
Old Ratio5:4:3
New Ratio4:3:2

P = 5/12-4/9 = (15 - 16)/36 = 1/36 (Gain)

Q = 4/12-3/9 = (12 – 12)/36 = 0/36 (nil)

R = 3/12-2/9 = (9 - 8)/36 = 1/36 (Sacrifice)

Revaluation Account

ParticularsAmountParticularsAmount
To FixedAssets A/c22,000By Stock A/c36,000
To Provision for Doubtful Debts A/c2,000By Sundry Creditors A/c9,000
To Profit on Revaluation21,000  
 45,000 45,000

Average Profit = (Rs. 20,000 - Rs. 48,000 + Rs. 60,000 + Rs. 80,000)/4

Average Profit = Rs. 42,000

Goodwill = Rs. 42,000 × 2 = 84,000

Reserve and Surplus = Rs. 42,000

Total = Rs. 21,000 + Rs. 84,000 + Rs. 42,000 = Rs. 1,47,000

P’s Gain = Rs. 90,000 ×1/36 = Rs. 2,500

R’s Sacrifice = Rs. 90,000 ×1/36 = Rs. 2,500

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q47 L, M and N are partners sharing profits and losses in equal proportion. On 31st March 2026, their balance sheet was as follows: Li…

L, M and N are partners sharing profits and losses in equal proportion. On 31st March 2026, their balance sheet was as follows:

LiabilitiesRs.AssetsRs.
Creditors58,000Cash8,000
Reserve and Surplus
Capital Accounts:
 L 2,00,000
M 1,00,000
N  80,000
42,000
3,80,000
Debtors 75,000
Less : Pro. for Doubtful debts 3,000
Stock
Fixed Assets
72,000
1,80,000
2,20,000
 4,80,000 4,80,000

The partners decided that with effect from 1st April 2026, they will share and losses in the ratio of 4:2:1. For this purpose goodwill is to be valued at 2 year’s purchase of the average profits of the last four years, which were:

Year ending 31st March 2023  20,000 (Loss)

Year ending 31st March 2024  48,000 (Profit)

Year ending 31st March 2025  60,000 (Profit)

Year ending 31st March 2026  80,000 (Profit)

They further agreed that:

Provision for doubtful debts be increased by Rs. 2,000.

Stock be appreciated by 20% and fixed assets be depreciated by 10%.

Creditors be taken at Rs. 49,000.

Partners do not desire to record the revised values of assets and liabilities in the books. They also desire to leave the reserve and surplus undisturbed.

You are required to give effect to the change in profit sharing ratio by passing a single journal entry. Also prepare the revised balance sheet.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 L’s Capital A/cDr. 35,000 
 To M’s Capital A/c   7,000
 To N’s Capital A/c   28,000
 (Being revaluation adjustment of assets and liabilities and for reserves on change in profit sharing ratio)    

Balance Sheet

LiabilitiesAmountAssetsAmount
Creditors58,000Cash8,000
Reserve and Surplus42,000Stock1,80,000
Capital  Fixed Assets2,20,000
L1,65,000 Debtors75,000 
M1,07,000 Less: Pro. For doubtful debts3,00072,000
N1,08,0003,80,000   
 4,80,000 4,80,000
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 L M N
Old Ratio1:1:1
New Ratio4:2:1

L = 1/3-4/7 = (7 - 12)/21 = 5/21 (Gain)

M = 1/3-2/7 = (7 – 6)/21 = 1/21 (Sacrifice)

N = 1/3-1/7 = (7 - 3)/21 = 4/21 (Sacrifice)

L’s Gain = Rs. 1,47,000 ×5/21 = Rs. 35,000

M’s Sacrifice = Rs. 1,47,000×1/21 = Rs. 7,000

N’s Sacrifice = Rs. 1,47,000 ×4/21 = Rs. 28,000

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q48 Amit, Archit and Akshat are partners in a firm in the ratio of 3:2:1. On 1st April, 2026 they decided to share the profits in futu…

Amit, Archit and Akshat are partners in a firm in the ratio of 3:2:1. On 1st April, 2026 they decided to share the profits in future in the ratio of 7:5:4. On this date General Reserve is Rs. 38,000 and profit on revaluation of assets and liabilities being Rs. 34,000. It was decided that adjustment should be made without altering the figures in the Balance Sheet. Make adjustment by one single journal entry.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 Akshat’s Capital A/cDr. 6,000 
 To Amit’s Capital A/c   4,500
 To Archit’s Capital A/c   1,500
 (Being general reserve and goodwill on change in profit sharing ratio)    
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 Amit Archit Akshat
Old Ratio3:2:1
New Ratio7:5:4

Amit = 3/6-7/16 = (24 - 21)/48 = 3/48 (Sacrifice)

Archit = 2/6-5/16 = (16 – 15)/48 = 1/48 (Sacrifice)

Akshat = 1/6-4/16 = (8 - 12)/48 = 4/48 (Gain)

Total Distributed Revenue = General Reserve + Profit on Revaluation

Total Distributed Revenue = Rs. 38,000 + Rs. 34,000

Total Distributed Revenue = Rs. 72,000

Amit’s Sacrifice = Rs. 72,000 ×3/48 = Rs. 4,500

Archit’s Sacrifice = Rs. 72,000 ×1/48 = Rs. 1,500

Akshat’s Gain = Rs. 72,000 ×4/48 = Rs. 6,000

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q49 The average profit earned by a firm is Rs. 75,000 which includes undervaluation of stock of Rs. 5,000 on an average basis. The cap…

The average profit earned by a firm is Rs. 75,000 which includes undervaluation of stock of Rs. 5,000 on an average basis. The capital Invested in the business is Rs. 7,00,000 and the normal rate of return is 7%. Calculate goodwill of the firm on the basis of 5 times the super profit.

✅ Solution

Normal Profit = Capita Employed × Normal Rate of Return

Normal Profit = Rs. 7,00,000 ×7/100

Normal Profit = Rs. 49,000

Super Profit = Average Profit – Normal Profit

Super Profit = Rs. 80,000 – Rs. 49,000

Super Profit = Rs. 31,000

Goodwill = Super Profit × Number of Year’s Purchase

Goodwill = Rs. 31,000 × 5

Goodwill = Rs. 1,55,000

📝 Working Note

Adjustment Profit = Average Profit earned by the firm + Under Valuation of Stock

Adjustment Profit = Rs. 75,000 + Rs. 5,000

Adjustment Profit = Rs. 80,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q50 A firm earns a profit of Rs. 37,000 per year. In the same business a 10% return is generally expected. The total assets of the fir…

A firm earns a profit of Rs. 37,000 per year. In the same business a 10% return is generally expected. The total assets of the firm are Rs. 4,00,000. The value of the liabilities is Rs. 90,000. Find out the value of goodwill.

✅ Solution

Normal Profit = Capital Employed ×Normal Rate of Return/100

Normal Profit = Rs. 3,10,000×10/100

Normal Profit = Rs. 31,000

Super Profit = Average Profit – Normal Profit

Super Profit = Rs. 37,000 – Rs. 31,000

Super Profit = Rs. 6,000

Goodwill = Super Profit ×100/Normal Rate of Return

Goodwill = Rs. 6,000 ×100/10

Goodwill = Rs. 60,000

📝 Working Note

Capital Employed = Assets – Liabilities

Capital Employed = Rs. 4,00,000 – Rs. 90,000

Capital Employed = Rs. 3,10,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q51 Rishi and Suman were partners in a firm. Their capitals were: Rishi Rs. 1,20,000 and Suman Rs. 80,000. The normal rate of return i…

Rishi and Suman were partners in a firm. Their capitals were: Rishi Rs. 1,20,000 and Suman Rs. 80,000. The normal rate of return in similar business is 12%.

The profits of the last four years were:

YearRs.
2019-2033,000
2020-2131,000
2021-2225,000
2022-2334,000

Calculate goodwill of the firm based on:

(i) Three years’ purchase of the last three years’ average profits.

(ii) Capitalisation of last 3 years’ super profit.

✅ Solution

Capital Employed = Rishi’s Capital + Suman’s Capital

Normal Rate of Return = 12%

Average Profit of Last 3 years = Profi ts of last 3 years/3

Average Profit of Last 3 years = 31,000+25,000+34,000/3

Average Profit of Last 3 years = 90,000/3

Average Profit of Last 3 years = Rs. 30,000

Capitalised Value of Average Profit = Average Profit × 100/NRR

Capitalised Value of Average Profit = Rs. 30,000 × 100/12

Capitalised Value of Average Profit = Rs. 2,50,000

Normal Profit = Capital Employed × NRR/100

Normal Profit = Rs. 2,00,000 × 12/100

Normal Profit = Rs. 24,000

Super Profit = Average Profit – Normal Profit

Super Profit = Rs. 30,000– Rs. 24,000

Super Profit = Rs. 6,000

Goodwill = Super Profit × 100/NRR

Goodwill = Rs. 6,000 × 100/12

Goodwill = Rs. 50,000

📌 Teacher's Note
Under the Capitalisation Method, Capitalised Value of the Firm = Average/Super Profit × 100/Normal Rate of Return. Goodwill = Capitalised Value of the Firm − Actual Capital Employed.
Q52 An existing firm had assets of Rs. 4,00,000 including cash of Rs. 15,000. The partner's capital accounts showed a balance of …

An existing firm had assets of Rs. 4,00,000 including cash of Rs. 15,000. The partner's capital accounts showed a balance of Rs. 3,00,000 and reserves amounted to Rs. 80,000. If the normal rate of return is 10% and the goodwill of the firm is valued at Rs. 75,000 at 3 year's purchase of super profits, find the average profits of the firm.

✅ Solution

Goodwill = Super Profit × Number of year purchases

75,000 = Super Profit × 3

Super Profit = 75,000/3

Super Profit = Rs. 25,000

Capital Employed = Assets – Liabilities

Capital Employed = Rs. 4,00,000 – Rs. 20,000

Capital Employed = Rs. 3,80,000

Normal Profit = Capital Employed ×Normal Rate of Return/100

Normal Profit = Rs. 3,80,000×10/100

Normal Profit = Rs. 38,000

Super Profit = Average Profit – Normal Profit

Rs. 25,000 = Average Profit – Rs. 38,000

Average Profit = Rs. 25,000 + Rs. 38,000

Average Profit = Rs. 63,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q53 Yash and Karan were partners in an interior designer firm. Their fixed capitals were Rs. 6,00,000 and Rs. 4,00,000 respectively. T…

Yash and Karan were partners in an interior designer firm. Their fixed capitals were Rs. 6,00,000 and Rs. 4,00,000 respectively. There were credit balance in their current accounts of Rs. 4,00,000 and Rs. 5,00,000 respectively. The firm had a balance of Rs. 1,00,000 in General Reserve. The firm did not have any liability. They admitted Radhika into partnership for 1/4th share in the profit of the firm. The average profits of the firm for the last five years were Rs. 5,00,000. Calculate the value of goodwill of the firm by capitalization of average profit method. The normal rate of return in the business is 10%.

✅ Solution

Value of Goodwill by Capitalisation of Average Profit method:-

Capitalised Value of Average Profit = Average Profit ×100/Noramal Rate of Return

Capitalised Value of Average Profit = Rs. 5,00,000 ×100/10

Capitalised Value of Average Profit = Rs. 50,00,000

Goodwill = Capitalised Value of Average Profit – Net Assets

Goodwill = Rs. 50,00,000 – Rs. 20,00,000

Goodwill = Rs. 30,00,000

📝 Working Note

Calculation of Net Assets:-

Total Capital = Partners Capital + Partners Current + General Reserve

Total Capital = Rs. 6,00,000 + Rs. 4,00,000 + Rs. 4,00,000 + Rs. 5,00,000 + 1,00,000

Total Capital = Rs. 20,00,000

📌 Teacher's Note
Under the Capitalisation Method, Capitalised Value of the Firm = Average/Super Profit × 100/Normal Rate of Return. Goodwill = Capitalised Value of the Firm − Actual Capital Employed.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q54 A partnership firm earned net profits during the last three years as follows: Years   Net Profit 2023-2024 &em…

A partnership firm earned net profits during the last three years as follows:

Years   Net Profit

2023-2024  1,90,000

2024-2025  2,20,000

2025-2026   2,50,000

The capital employed in the fire throughout the above mentioned period has been Rs. 4,00,000. Having regard to the risk involved, 15% is considered to be a fair return on the capital. The remuneration of all the partners during this period is estimated to be Rs.1,00,000 per annum

Calculate the value of goodwill on the basis of (i) two year's purchase of super profits earned on average basis during the above mentioned three years and (ii) by capitalisation of average profits method.

✅ Solution

(i) Value of Goodwill on the basis of two year’s purchase of Super profits:

Average Profit = Total Profit/Number of Purchases

Total Profit = Rs. 1,90,000 + Rs. 2,20,000 + Rs. 2,50,000

Total Profit = Rs. 6,60,000

Average Profit = Rs. 6,60,000/3

Average Profit = Rs. 2,20,000

Average Profit for Goodwill = Average Profit – Partners Remuneration

Average Profit for Goodwill = Rs. 2,20,000 – Rs. 1,00,000

Average Profit for Goodwill = Rs. 1,20,000

Normal Profit = Capital Employed ×Normal Rate of Return/100

Normal Profit = Rs. 4,00,000×15/100

Normal Profit = Rs. 60,000

Super Profit = Average Profit – Normal Profit

Super Profit = Rs. 1,20,000 – Rs. 60,000

Super Profit = Rs. 60,000

Goodwill = Super Profit × Number of year purchases

Goodwill = Rs. 60,000 × 2

Goodwill = Rs. 1,20,000

(ii) Value of Goodwill by Capitalisation of Average Profit method:-

Capitalised Value of Average Profit = Average Profit ×100/Noramal Rate of Return

Capitalised Value of Average Profit = Rs. 1,20,000 ×100/15

Capitalised Value of Average Profit = Rs. 8,00,000

Goodwill = Capitalised Value of Average Profit – Net Assets

Goodwill = Rs. 8,00,000 – Rs. 4,00,000

Goodwill = Rs. 4,00,000

📌 Teacher's Note
Under the Capitalisation Method, Capitalised Value of the Firm = Average/Super Profit × 100/Normal Rate of Return. Goodwill = Capitalised Value of the Firm − Actual Capital Employed.
Q55 Average profit of the firm is Rs. 3,00,000. Total assets of the firm are Rs. 24,00,000 whereas Partner’s Capital is Rs. 20,00,000.…

Average profit of the firm is Rs. 3,00,000. Total assets of the firm are Rs. 24,00,000 whereas Partner’s Capital is Rs. 20,00,000. If normal rate of return in a similar business is 12% of the capital employed, what is the value of goodwill by Capitalisation of Super Profit?

✅ Solution

Normal Profit = Rs. 20,00,000 × 12% = Rs. 2,40,000

Super Profit = Average Profit – Normal Profit

Super Profit = Rs. 3,00,000 – Rs. 2,40,000

Super Profit = Rs. 60,000

Value of Goodwill = Super Profit ×100/Normal Rate of Return

Value of Goodwill = Rs. 60,000 ×100/12

Value of Goodwill = Rs. 5,00,000

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q56 The following information relates to a partnership firm: (a) Sundry Assets of the firm Rs. 6,80,000. Outside Liabilities Rs. 60,00…

The following information relates to a partnership firm:

(a) Sundry Assets of the firm Rs. 6,80,000. Outside Liabilities Rs. 60,000.

(b) Profits and losses for the past years: Profit 2021 Rs. 50,000; Loss 2022 Rs. 10,000; Profit 2023 Rs.1,64,000 and Profit 2024 Rs.1,80,000.

(c) The normal rate of return in a similar type of business is 12%.

Calculate the value of goodwill on the basis of:

Three year's purchase of average profits.

Three year's purchase of super profits.

Capitalisation of average profits, and

Capitalisation of super profits.

✅ Solution

Average Profit = Total Profit/Number of Purchases

Total Profit = Rs. 50,000 - Rs. 10,000 + Rs. 1,64,000 + Rs. 1,80,000

Total Profit = Rs. 3,84,000

Average Profit = Rs. 3,84,000/4

Average Profit = Rs. 96,000

(i) Three year’s purchase of average profit:-

Goodwill = Average Profit × Number of year purchases

Goodwill = Rs. 96,000 × 3

Goodwill = Rs. 2,88,000

(ii) Three year’s purchase of super profit:-

Normal Profit = Rs. 6,20,000 × 12% = Rs. 74,400

Super Profit = Average Profit – Normal Profit

Super Profit = Rs. 96,000 – Rs. 74,400

Super Profit = Rs. 21,600

Goodwill = Super Profit × Number of year purchases

Goodwill = Rs. 21,600 × 3

Goodwill = Rs. 64,800

(iii) Capitalisation of average profit:-

Capitalised value of Average Profit = Average Profit ×100/Normal Rate of Return

Capitalised value of Average Profit = Rs. 96,000×100/12

Capitalised value of Average Profit = Rs. 8,00,000

Capital Employed = Assets – Liabilities

Capital Employed = Rs. 6,80,000 – Rs. 60,000

Capital Employed = Rs. 6,20,000

Goodwill = Capitalised value of Average Profit – Capital Employed

Goodwill = Rs. 8,00,000 – Rs. 6,20,000

Goodwill = Rs. 1,80,000

(iv) Capitalisation of super profits:-

Goodwill = Super Profit ×100/Normal rate of Return

Goodwill = Rs. 21,600 ×100/12

Goodwill = Rs. 1,80,000

📌 Teacher's Note
Under the Capitalisation Method, Capitalised Value of the Firm = Average/Super Profit × 100/Normal Rate of Return. Goodwill = Capitalised Value of the Firm − Actual Capital Employed.
Q57 X, Y and Z are partners sharing profits in the ratio of 5 : 4 : 1. It is now agreed that they will share future profits in the rat…

X, Y and Z are partners sharing profits in the ratio of 5 : 4 : 1. It is now agreed that they will share future profits in the ratio of 3:3:4. Goodwill is valued at Rs. 1,00,000. You are required to pass a single journal entry for the treatment of goodwill.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
 Z’s Capital A/cDr. 30,000 
 To X’s Capital A/c   20,000
 To Y’s Capital A/c   10,000
 (Being goodwill adjusted on change in profit sharing ratio)    
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 X Y Z
Old Ratio5:4:1
New Ratio3:3:4

X = 5/10-3/10 = (5 - 3)/10 = 2/10 (Sacrifice)

Y = 4/10-3/10 = (4 – 3)/10 = 1/10 (Sacrifice)

Z = 1/10-4/10 = (1 - 4)/10 = 3/10 (Gain)

X’s Sacrifice = Rs. 1,00,000 ×2/10 = Rs. 20,000

Y’s Sacrifice = Rs. 1,00,000 ×1/10 = Rs. 10,000

Z’s Gain = Rs. 1,00,000 ×3/10 = Rs. 30,000

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q58 Charu and Dinesh have been sharing profits in the ratio of 3 : 1. The net profits for the past four years have been Rs. 60,000; Rs…

Charu and Dinesh have been sharing profits in the ratio of 3 : 1. The net profits for the past four years have been Rs. 60,000; Rs. 50,000; Rs. 90,000 and Rs. 1,20,000 respectively. It is now agreed that in future Dinesh is to have 2/5th share in profits and for that purpose goodwill is to be valued on the basis of 21/2 year's purchase of average profits of the past four years. Give journal entry for the treatment of goodwill.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 Dinesh’s Capital A/cDr. 30,000 
 To Charu’s Capital A/c   30,000
 (Being goodwill adjusted on change in profit sharing ratio)    
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 Dinesh Charu
Old Ratio3:1
New Ratio3:2

Dinesh = 3/4-3/5 = (15 - 12)/20 = 3/20 (Sacrifice)

Charu = 1/4-2/5 = (5 – 8)/20 = 3/20 (Gain)

Average Profit = Total Profit/Number of Purchases

Total Profit = Rs. 60,000 + Rs. 50,000 + Rs. 90,000 + Rs. 1,20,000

Total Profit = Rs. 3,20,000

Average Profit = Rs. 3,20,000/4

Average Profit = Rs. 80,000

Goodwill = Average Profit × Number of year purchases

Goodwill = Rs. 80,000 × 2.5

Goodwill = Rs. 2,00,000

Dinesh’s Sacrifice = Rs. 2,00,000 ×3/20 = Rs. 30,000

Charu’s Gain = Rs. 2,00,000 ×3/20 = Rs. 30,000

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q59 P, Q and R are partners sharing profits and losses in the ratio of 5: 3: 2 From 1st April, 2024, they decide to share profits and …

P, Q and R are partners sharing profits and losses in the ratio of 5: 3: 2 From 1st April, 2024, they decide to share profits and losses in equal, proportions. The partnership deed provides that in the event of any change in profit sharing ratio, the goodwill should be valued at three year's purchase of the average of five year’s profits. The profits and losses of the preceding five years ending 31st March are:

Profits: 2020: Rs. 60,000, 2021 : Rs. 1,50,000, 2022: Rs.1,70,000, 2023: Rs. 1,90,000

Loss : 2024: Rs. 70,000.

Give the necessary journal entry to record the above change.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 Q’s Capital A/cDr. 10,000 
 R’s Capital A/cDr. 40,000 
 To P’s Capital A/c   50,000
 (Being goodwill adjusted on change in profit sharing ratio)    
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 P Q R
Old Ratio5:3:2
New Ratio1:1:1

P = 5/10-1/3 = (15 - 10)/30 = 5/30 (Sacrifice)

Q = 3/10-1/3 = (18 - 20)/30 = 1/30 (Gain)

R = 2/10-1/3 = (6 – 10)/30 = 4/30 (Gain)

Average Profit = Total Profit/Number of Purchases

Total Profit = Rs. 60,000 + Rs. 1,50,000 + Rs. 1,70,000 + Rs. 1,90,000 – Rs. 70,000

Total Profit = Rs. 5,00,000

Average Profit = Rs. 5,00,000/5

Average Profit = Rs. 1,00,000

Goodwill = Average Profit × Number of year purchases

Goodwill = Rs. 1,00,000 × 3

Goodwill = Rs. 3,00,000

P’s Sacrifice = Rs. 3,00,000 ×5/30 = Rs. 50,000

Q’s Gain = Rs. 3,00,000 ×1/30 = Rs. 10,000

R’s Gain = Rs. 3,00,000 ×4/30 = Rs. 40,000

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q60 A and B have been carrying on business in partnership with fixed capitals of Rs. 2,40,000 and Rs. 1,20,000 respectively and sharin…

A and B have been carrying on business in partnership with fixed capitals of Rs. 2,40,000 and Rs. 1,20,000 respectively and sharing profits in the same proportion. They decided that with effect from April 1, 2016 they would share profits and losses in the ratio of 3: 2. For this purpose goodwill is to be valued at three year’s purchase of the average of preceding three year's profits. The profits for the years ending 31st March were 2021: Rs. 75,000; 2022: Rs. 60,000; 2023 Rs. 80,000 and 2024 Rs. 1,30,000. Give the necessary journal entry.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 B’s Capital A/cDr. 18,000 
 To A’s Capital A/c   18,000
 (Being goodwill adjusted on change in profit sharing ratio)    
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 A B
Old Ratio2:1
New Ratio3:2

A = 2/3-3/5 = (10 - 9)/15 = 1/15 (Sacrifice)

B = 1/3-2/5 = (5 - 6)/15 = 1/15 (Gain)

Average Profit = Total Profit/Number of Purchases

Total Profit = Rs. 60,000 + Rs. 80,000 + Rs. 1,30,000

Total Profit = Rs. 1,80,000

Average Profit = Rs. 1,80,000/3

Average Profit = Rs. 90,000

Goodwill = Average Profit × Number of year purchases

Goodwill = Rs. 90,000 × 3

Goodwill = Rs. 2,70,000

A’s Sacrifice = Rs. 3,00,000 ×1/15 = Rs. 18,000

B’s Gain = Rs. 3,00,000 ×1/15 = Rs. 18,000

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.
Q61 A, B and C were partners in a firm sharing profits in the ratio of 1:3:2. They decided that with effect from 1st April, 2026, they…

A, B and C were partners in a firm sharing profits in the ratio of 1:3:2. They decided that with effect from 1st April, 2026, they will share profits in the ratio of 4: 6:5. For this purpose the goodwill of the firm is valued at the total of preceding three year's profits. The profits were:

Rs.

2021-22      40,000

2022-23      10,000 (Loss)

2023-24      80,000 (Loss)

2024-25      1,20,000

2025-26      1,40,000

Reserves and Profits appeared in the balance sheet at Rs. 40,000 and Rs. 30,000 respectively. Partners do not want to distribute the reserves and profits appearing in the balance sheet. Pass a single journal entry to record the change.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 A’s Capital A/cDr. 25,000 
 To B’s Capital A/c   25,000
 (Being goodwill adjusted on change in profit sharing ratio)    
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 A B C
Old Ratio1:3:2
New Ratio4:6:5

A = 1/6-4/15 = (5 - 8)/30 = 3/30 (Gain)

B = 3/6-6/15 = (15 - 12)/30 = 3/30 (Sacrifice)

C = 2/6-5/15 = (10 - 10)/30 = 0 (Nil)

Goodwill = (Rs. 80,000) + Rs. 1,20,000 + Rs. 1,40,000 = Rs. 1,80,000

Total Distributable Amount = Goodwill + Reserve + Profit

Total Distributable Amount = Rs. 1,80,000 + Rs. 40,000 + Rs. 30,000

Total Distributable Amount = Rs. 2,50,000

A’s Gain = Rs. 2,50,000 ×3/30 = Rs. 25,000

B’s Sacrifice = Rs. 2,50,000 ×3/30 = Rs. 25,000

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q62 X, Y and Z are partners sharing profits and losses in the ratio of 5: 3 : 2. Their position as at 31st March 2026 was as follows: …

X, Y and Z are partners sharing profits and losses in the ratio of 5: 3 : 2. Their position as at 31st March 2026 was as follows:

LiabilitiesRs.AssetsRs.
Sundry Creditors44,000Cash in Hand8,000
Outstanding Expenses10,000Cash at Bank22,000
Capitals :
 X 2,80,000
 Y 2,80,000
 Z 1,00,000
6,60,000 Debtors  56,000
 Less : Provision 6,000
Stock
Machinery
50,000
2,80,000
1,54,000
  Building2,00,000
 7,14,0007,14,000

It was decided that with effect from 1st April 2026, profit and loss sharing ratio will be 3:3:1. They agreed on the following terms:

(i) Goodwill of the firm be valued at two year's purchase of the average super profits of last three years. Average profits of the last three years are Rs. 1,08,000, while the normal profits may be taken at Rs. 66,000.

(ii) Provision on debtors be reduced by Rs. 2,000.

(iii) Value of stock be increased by 10% and machinery be valued at Rs. 1,00,000.

(iv) An item of Rs. 3,000 included in sundry creditors is not likely to be claimed.

Partners do not want to record the altered values of assets and liabilities in the books. Pass an entry to give effect to the above and prepare the revised balance sheet.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 Y’s Capital A/cDr. 8,100 
 To X’s Capital A/c   4,500
 To Z’s Capital A/c   3,600
 (Being general reserve and goodwill on change in profit sharing ratio)    

Balance Sheet

LiabilitiesAmountAssetsAmount
Sundry Creditors44,000Cash in Hand8,000
Outstanding Expenses10,000Cash at Bank22,000
Capital  Stock2,80,000
X2,84,000 Machinery1,54,000
Y2,71,900 Building2,00,000
Z1,03,6006,60,000Debtors56,000 
  Less: Provision for Debts6,00050,000
 7,14,000 7,14,000
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 X Y Z
Old Ratio5:3:2
New Ratio3:3:1

X = 5/10-3/7 = (35 - 30)/70 = 5/70 (Sacrifice)

Y = 3/10-3/7 = (21 - 30)/70 = 9/70 (Gain)

Z = 2/10-1/7 = (14 - 10)/70 = 4/70 (Sacrifice)

Revaluation Account

ParticularsAmountParticularsAmount
To Machinery54,000By Provision for Doubtful Debts2,000
  By Stock28,000
  By Creditors3,000
  By Loss on Revaluation21,000
 54,000 54,000

Super Profit = Average Profit – Normal Profit

Super Profit = Rs. 1,08,000 – Rs. 66,000

Super Profit = Rs. 42,000

Goodwill = Super Profit × Number of year purchases

Goodwill = Rs. 42,000 × 2

Goodwill = Rs. 84,000

Distributable Profit = Goodwill – Loss on Revaluation

Distributable Profit = Rs. 84,000 – Rs. 21,000

Distributable Profit = Rs. 63,000

X’s Sacrifice = Rs. 63,000 ×5/70 = Rs. 4,500

Y’s Gain = Rs. 63,000 ×9/70 = Rs. 8,100

Z’s Sacrifice = Rs. 63,000 ×4/70 = Rs. 3,600

📌 Teacher's Note
Super Profit = Actual Average Profit − Normal Profit, where Normal Profit = Capital Employed × Normal Rate of Return/100. Goodwill under this method = Super Profit × Number of Years' Purchase.
Q63 The following is the balance sheet of a firm as at 31st March, 2026: Liabilities Rs. Assets Rs. Capital Accounts:  A 4,0…

The following is the balance sheet of a firm as at 31st March, 2026:

LiabilitiesRs.AssetsRs.
Capital Accounts:
 A 4,00,000
 B 4,00,000
 C 3,00,000
 D 3,00,000
14,00,000Building
Plant and Machinery
Stock
Debtors
Bills Receivable
6,50,000
5,00,000
3,00,000
2,40,000
10,000
Reserves1,50,000Cash at bank20,000
Profit & Loss A/c (Profits)90,000  
Creditors80,000  
 17,20,000 17,20,000

On 1st April, 2026, the assets and liabilities were revalue as under: Rs.

Building         8,00,000

Plant and Machinery         3,20,000

Stock           2,60,000

Creditors         84,000

A provision of 5% was required on debtors. Goodwill of the firm is valued at Rs. 1,70,000. Partners agreed that from 1st April, 2026 they will share profits in the ratio of 4:3:2:1 instead of their former ratio of 5:4:2:1. They do not want to record the revised values of assets and liabilities in the books. They also do not want to disturb the reserves and Profit & Loss A/C. Pass a single journal entry to give effect to the above.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
 C’s Capital A/cDr. 10,800 
 D’s Capital A/cDr. 5,400 
 To A’s Capital A/c   5,400
 To B’s Capital A/c   10,800
 (Being general reserve and goodwill on change in profit sharing ratio)    
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 A B C D
Old Ratio5:4:2:1
New Ratio4:3:2:1

A = 5/12-4/10 = (25 - 24)/60 = 1/60 (Sacrifice)

B = 4/12-3/10 = (20 - 18)/60 = 2/60 (Sacrifice)

C = 2/12-2/10 = (10 - 12)/60 = 2/60 (Gain)

D = 1/12-1/10 = (5 - 6)/60 = 1/60 (Gain)

Revaluation Account

ParticularsAmountParticularsAmount
To Plant and Machinery1,80,000By Building1,50,000
To Stock40,000  
To Creditors4,000  
To Provision for Doubtful Debts12,000By Loss on Revaluation86,000
 2,36,000 2,36,000

Distributable Profit = Goodwill + Reserves + Profit and Loss (Profit) – Loss on Revaluation

Distributable Profit = Rs. 1,70,000 + Rs. 1,50,000 + Rs. 90,000 – Rs. 86,000

Distributable Profit = Rs. 3,24,000

A’s Sacrifice = Rs. 3,24,000 ×1/60 = Rs. 5,400

B’s Sacrifice = Rs. 3,24,000×2/60 = Rs. 10,800

C’s Gain = Rs. 3,24,000×2/60 = Rs. 10,800

D’s Gain = Rs. 3,24,000 ×1/60 = Rs. 5,400

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
Q64 Dinesh, Ramesh and Suresh are partners in a firm sharing profits and losses in the ratio of 3:3:2. From 1st April, 2018 they decid…

Dinesh, Ramesh and Suresh are partners in a firm sharing profits and losses in the ratio of 3:3:2. From 1st April, 2018 they decide to share the future profits equally. On this date, the General Reserve showed a balance of Rs. 1,60,000; Revaluation of fixed assets resulted into a gain of Rs. 1,02,000 and stock resulted into a loss of Rs. 22,000. On this date the goodwill of the firm was valued at Rs. 3,60,000.

Pass necessary journal entries for the above transactions on reconstitution of the firm.

✅ Solution
DateParticularsL.F.Debit
(Rs.)
Credit (Rs.)
     
(i)General Reserve A/cDr. 1,60,000 
 To Dinesh’s Capital A/c   60,000
 To Ramesh’s Capital A/c   60,000
 To Suresh’s Capital A/c   40,000
 (Being General Reserve distributed to partners)    
(ii)Revaluation A/cDr. 22,000 
 To Stock A/c   22,000
 (Being value of stock deceases)    
(iii)Fixed Assets A/cDr. 1,02,000 
 To Revaluation A/c   1,02,000
 (Being value of fixed assets increased)    
(iv)Revaluation A/cDr. 80,000 
 To Dinesh’s Capital A/c   30,000
 To Ramesh’s Capital A/c   30,000
 To Suresh’s Capital A/c   20,000
 (Being Profit on Revaluation distributed to partners )   
(v)Suresh’s Capital A/cDr. 30,000 
 To Dinesh’s Capital A/c   15,000
 To Ramesh’s Capital A/c   15,000
 (Being amount of goodwill adjusted)    

Revaluation Account

ParticularsAmountParticularsAmount
To Stock A/c22,000By Fixed Assets A/c1,02,000
To Revaluation A/c   
Dinesh30,000   
Ramesh30,000   
Suresh20,00080,000  
 1,02,000 1,02,000

Calculation of Partner’s Goodwill:-

Goodwill of the Firm = Rs. 3,60,000

Dinesh = Rs. 3,60,000 × 1/24 = Rs. 15,000 (Credit)

Ramesh = Rs. 3,60,000 × 1/24 = Rs. 15,000 (Credit)

Suresh = Rs. 3,60,000 × 1/24 = Rs. 30,000 (Debit)

📌 Teacher's Note
When the profit-sharing ratio changes, no goodwill account is opened in the books. The gaining partner's capital account is debited and the sacrificing partner's capital account is credited with their share of goodwill — this is called the 'adjustment through capital accounts' method.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q65 Hari, Kunal and Uma are partners in a firm sharing profits and losses in the ratio of 5:3:2. From 1st April, 2018 they decided to …

Hari, Kunal and Uma are partners in a firm sharing profits and losses in the ratio of 5:3:2. From 1st April, 2018 they decided to share future profits and losses in the ratio of 2 : 5 : 3. Their Balance Sheet showed a balance of Rs. 75,000 in the Profit and Loss Account and a balance of Rs. 15,000 in Investment Fluctuation Fund. For this purpose, it was agreed that:

(i) Goodwill of the firm was valued at Rs. 3,00,000.

(ii) That investments (having a book value of Rs. 50,000) were valued at Rs.35,000.

(iii) That stock having a book value of Rs. 50,000 be depreciated by 10%

Pass the necessary journal entries for the above in the books of the firm.

✅ Solution
DateParticularsL.F.Debit
Amount
Credit
Amount
 Profit & Loss A/cDr. 75,000 
 To Hari’s Capital A/c   37,500
 To Kunal’s Capital A/c   22,500
 To Uma’s Capital A/c   15,000
 (Being profit transfer to partners’ capital account in old ratio)    
 Kunal’s Capital A/cDr. 60,000 
 Uma’s Capital A/cDr. 30,000 
 To Hari’s Capital A/c   90,000
 (Being adjustment of goodwill on change in profit sharing ratio)    
 Investment Fluctuation Fund A/cDr. 15,000 
 To Investments A/c   15,000
 (Being Investments brought down to their market value)    
 Revaluation A/cDr. 5,000 
 To Stock A/c   5,000
 (Being value of stock decreased)    
 Hari’s Capital A/cDr. 2,500 
 Kunal’s Capital A/cDr. 1,500 
 Uma’s Capital A/cDr. 1,000 
 To Revaluation A/c   5,000
 (Being loss on revaluation transfer to partners capital account)    
📝 Working Note

Calculation of Sacrificing and Gaining Ratio:-

 Hari Kunal Uma
Old Ratio5:3:2
New Ratio2:5:3

Hari = 5/10-2/10 = (5 – 2)/10 = 3/10 (Sacrifice)

Kunal = 3/10-5/10 = (3 – 5)/10 = 2/10 (Gain)

Uma = 2/10-3/10 = (2 – 3)/10 = 1/10 (Gain)

📌 Teacher's Note
Sacrificing/Gaining Ratio = Old Ratio − New Ratio for each partner. A positive result means that partner has sacrificed share; a negative result means that partner has gained share.
🗂️ Also remember
Reserves, accumulated profits/losses, and revaluation gains/losses standing in the books on the date of change must first be distributed among partners in the OLD profit-sharing ratio, before the new ratio becomes effective.
Q66 Doremon, Shinchan and Nobita are partners sharing profits and losses in the ratio of 3:2:1. With effect from 1st April, 2022 they …

Doremon, Shinchan and Nobita are partners sharing profits and losses in the ratio of 3:2:1. With effect from 1st April, 2022 they agree to share profits equally. For this purpose, goodwill is to be valued at two years’ purchases of the average profit of last four years which were as follows:

Year ending on 31st March, 2019Rs. 50,000 (Profit)
Year ending on 31st March, 2020Rs. 1,20,000 (Profit)
Year ending on 31st March, 2021Rs. 1,80,000 (Profit)
Year ending on 31st March, 2022Rs. 70,000 (Loss)

On 1st April, 2021 a Motor Bike costing Rs. 50,000 was purchased and debited to travelling expenses account, on which depreciation is to be charged @ 20% p.a. by Straight Line Method. The firm also paid an annual insurance premium of Rs. 20,000 which has already been charged to Profit and Loss Account for all the years.

Journalise the transaction along with the working notes.

✅ Solution
DateParticularsL.F.Debit
Amount
Credit
Amount
 Nobita’s Capital A/cDr. 26,667 
 To Doremon’s Capital A/c   26,667
 (Being goodwill adjusted)    
      
📝 Working Note

(i) Calculation of Gaining and Sacrificing Ratio:-

Doremon’s = 3/6-2/6=1/6 (Sacrificing)

Shinchan’s = 2/6-2/6=0 (No Gain /No Sacrifice)

Nobita’s = 1/6-2/6=-1/6 (Gain)

(ii) Calculation of Goodwill:-

There is an adjustment in 31st March, 2022 = (Rs. 70,000) + Rs. 50,000 – (Rs. 10,000) = (Rs. 30,000)

Average Profit = Total Normal Profit/Number of Year

Average Profit = 3,20,000/4

Average Profit = Rs. 80,000

Goodwill = Average Profit × Number of Year Purchases

Goodwill = Rs. 80,000 × 2

Goodwill = Rs. 1,60,000

📌 Teacher's Note
Goodwill = Average Profit × Number of Years' Purchase. Always normalise the profit of each year first — add back abnormal losses/non-recurring expenses and deduct abnormal gains/non-recurring income before averaging.

✗ Common Mistakes Students Make

✗ Confusing sacrifice with gain
Old Ratio − New Ratio. Positive = sacrifice, negative = gain. Don't guess from the ratio numbers alone — always subtract carefully.
✗ Forgetting to normalise profits before averaging
Add back abnormal losses; deduct abnormal gains and non-recurring income; remove wrongly capitalised expenses and charge correct depreciation, before averaging.
✗ Using the wrong year for an adjustment
Match "abnormal loss/gain in a particular year" to the correct year column in the working — a one-year shift changes the final goodwill figure (see Q10).
✗ Raising goodwill in the books unnecessarily
On a mere ratio change, goodwill is normally adjusted only through partners' capital accounts, not shown as an asset in the Balance Sheet.
✗ Distributing reserves/revaluation in the new ratio
Reserves and revaluation gain/loss on the date of change belong to partners in their OLD ratio, since earned before the change.
✗ Mixing up Super Profit and Capitalisation methods
Super Profit Method: Goodwill = Super Profit × Years. Capitalisation Method: Goodwill = (Profit × 100/Normal Rate) − Capital Employed.

❓ Frequently Asked Questions

What is the difference between sacrificing ratio and gaining ratio?

Sacrificing ratio is the share given up by a partner whose new share is lower than the old share. Gaining ratio is the extra share received by a partner whose new share is higher. Both = Old Ratio − New Ratio; positive is a sacrifice, negative is a gain.

Why is goodwill valued when only the profit-sharing ratio changes?

Because gaining partners now get a larger share of future profits at the expense of sacrificing partners, so they must compensate them for the value of the firm's reputation and earning capacity built up jointly.

Which goodwill valuation method should I use in the exam?

Use whichever method the question specifies. If only past years' profits are given, use Average or Weighted Average Profit. If capital employed and normal rate of return are given, use Super Profit or Capitalisation.

Do reserves and accumulated losses affect the ratio-change adjustment?

Yes — General Reserve, Workmen Compensation Reserve, Investment Fluctuation Reserve, and accumulated profit/loss must be distributed in the OLD ratio before the new ratio applies.

Is this DK Goel Solutions Chapter 2 useful for CBSE 2026-27 board exams?

Yes, based on the latest DK Goel Double Entry Book Keeping textbook (2026-27 edition) and the CBSE Accountancy syllabus for Reconstitution of Partnership.