Maharashtra Board Class 8 Maths Chapter 9 Discount and Commission Set 9.2 Solutions

Question 1. John sold books worth Rs 4500 for a publisher. For this he received 15% commission. Complete the following activity to find the total commission John obtained.
Answer:
Selling price of the books = Rs 4500
Rate of commission = 15%
Commission obtained = 15% of selling price
\[ \frac{15}{100} \times 4500 \]
= 15 × 45
\( \therefore \) Commission obtained = 675 Rupees.
\( \therefore \) The total commission obtained by John is Rs 675.
In simple words: John earned a 15% commission on books sold for Rs 4500. To find the total commission, we calculate 15% of the selling price, which comes out to Rs 675.

🎯 Exam Tip: Remember to clearly state the selling price, commission rate, and then show the calculation for the commission amount to score full marks.

Question 2. Rafique sold flowers worth Rs 15,000 by giving 4% commission to the agent. Find the commission he paid. Find the amount received by Rafique.
Answer:
Here, selling price of flowers = Rs 15,000,
Rate of commission = 4%
(i) Commission = 4% of selling price
\[ = \frac{4}{100} \times 15,000 \]
= 4 x 150
\( \therefore \) Commission = Rs 600

(ii) Amount received by Rafique = selling price - commission
= 15,000 - 600
= Rs 14,400
\( \therefore \) Rafique paid Rs 600 as commission and the amount received by him was Rs 14,400.
In simple words: Rafique sold flowers for Rs 15,000 and paid 4% commission to an agent. He paid Rs 600 in commission (4% of 15,000) and received Rs 14,400 after the commission was deducted.

🎯 Exam Tip: When dealing with commissions, always calculate the commission first and then subtract it from the total selling price to find the net amount received.

Question 3. A farmer sold food grains for Rs 9200 through an agent. The rate of commission was 2%. How much amount did the agent get?
Answer:
Here, selling price of food grains = Rs 9200,
Rate of commission = 2%
Commission = 2% of selling price
\[ = \frac{2}{100} \times 9200 \]
= 2 × 92
= Rs 184
\( \therefore \) The agent got a commission of Rs 184.
In simple words: A farmer sold grains worth Rs 9200 through an agent. The agent's commission was 2% of the selling price, which amounts to Rs 184.

🎯 Exam Tip: Identify the total value of goods sold and the commission rate clearly. The commission is always calculated as a percentage of the total transaction value.

Question 4. Umatai purchased following items from a Khadi-Bhandar.
(i) 3 sarees for Rs 560 each.
(ii) 6 bottles of honey for Rs 90 each.
On the purchase, she received a rebate of 12%. How much total amount did Umatai pay?
Answer:
Here, number of sarees = 3,
Price of each saree = Rs 560
\( \therefore \) Cost of 3 sarees = 560 × 3
= Rs 1680 ...(i)
Also, number of honey bottles = 6,
Price of each bottle = Rs 90
\( \therefore \) Cost of 6 honey bottles = 90 × 6
= Rs 540
Total amount of purchase
= cost of 3 sarees + cost of 6 honey bottles
= 1680 + 540 ... [From (i) and (ii)]
= Rs 2220 ...(iii)
Rate of rebate = 12%
Rebate = 12% of total amount of purchase
\[ = \frac{12}{100} \times 2220 \]
= 12 x 22.20
= Rs 266.40 ..(iv)
Amount paid by Umatai
= Total amount of purchase - Rebate
= 2,220 - 266.40 ... [From (iii) and (iv)]
= Rs 1953.60
\( \therefore \) The total amount paid by Umatai is Rs 1953.60.
In simple words: Umatai bought sarees and honey, totaling Rs 2220. She received a 12% rebate, which was Rs 266.40. After the rebate, she paid Rs 1953.60.

🎯 Exam Tip: When calculating rebates or discounts, first find the total cost of all items, then calculate the discount percentage on that total, and finally subtract the discount from the total cost.

Question 5. Use the given information and fill in the boxes with suitable numbers. Smt. Deepanjali purchased a house for Rs 7,50,000 from Smt. Leelaben through an agent. Agent has charged 2% brokerage from both of them.
Answer:
(i) Smt. Deepanjali paid \( 7,50,000 \times \frac{2}{100} \)
= 7,500 × 2 = Rs 15,000 brokerage for purchasing the house.

(ii) Smt. Leelaben paid brokerage of Rs 15,000

(iii) Total brokerage received by the agent is = 15,000 + 15,000 = Rs 30,000

(iv) The cost of house Smt. Deepanjali paid is = 7,50,000 + 15,000 = Rs 7,65,000

(v) The selling price of house for Smt.Leelaben is = 7,50,000 - 15,000
= Rs 7,35,000
In simple words: An agent helped Smt. Deepanjali buy a house from Smt. Leelaben for Rs 7,50,000, charging 2% brokerage to both. The agent received Rs 15,000 from each party, making a total of Rs 30,000. Smt. Deepanjali's total cost was Rs 7,65,000, and Smt. Leelaben received Rs 7,35,000 after paying brokerage.

🎯 Exam Tip: In brokerage problems, carefully distinguish between the buyer's cost (original price + brokerage) and the seller's receipt (original price - brokerage), and ensure the agent's total commission is the sum of brokerage from both parties.