CBSE Class 8 Mathematics Comparing Quantities Assignment Set F

Question. Look at this tube of Glow Face cream being sold under a special offer: 
How many grams of cream does the tube contain?

(a) 30
(b) 37.5
(c) 120
(d) 150

Answer : D

Question. Anjana has 4 pencils in her box. Their average length is 10 cm. Which of the following is NOT POSSIBLE?
(a) The shortest pencil in the box is 2 cm long.
(b) The longest pencil in the box is 8 cm long.
(c) Two of the pencils are 10 cm each.
(d) All the pencils are of the same length.

Answer : B

Question. Ayub drops a ball from a height of 6.25 metres to the flat ground below. After the third bounce, the ball rises to a height of 40 cm. 
The height to which the ball rises after each bounce is the SAME FRACTION of the height reached on its PREVIOUS BOUNCE. What is the fraction?

(a) 1/2
(b) 2/5
(c) 5/8
(d) 39/125

Answer : B

Question. Mr. Kaul deposits a fixed amount of money for a 5 year period. Some details of the account (Interest compounded annually) are given below: 
Principal on which interest is computed for the first year : Rs  40000 .Interest earned for the first year : Rs 2000
Interest earned for the second year : Rs 2100
Interest earned for the third year : Rs 2205
The amount (Principal) on which the interest for the fourth year will be calculated is
(a) 2,205
(b) 40,000
(c) 46,305
(d) 46,615

Answer : C

Question. Nalini had some shares which she sold when their price was 3.5 times the price at which she had bought them. Her profit from this transaction was
(a) 3.5%
(b) 350%
(c) 25%
(d) 250%

Answer : D

Question. Raj has two identical jugs, both completely filled with mixtures of mango pulp and milk. The ratio of mango pulp to milk in the first jug is 1 : 4 and in the second one it is 1: 3.
Raj now pours the mixtures from both jugs into a large jar. The ratio of mango pulp to milk in this container is:
(a) 9:31
(b) 7:12
(c) 2:7
(d) 1:7

Answer : A

Question. Sona bought a T.V at nine - tenths of its actual price under a discount offer. How much discount did she get?
(a) 10%
(b) 9%
(c) 1%
(d) 0.10%

Answer : A

Question.

(a) 37 1⁄2%
(b) 50%
(c) 66 3⁄2%
(d) 75%

Answer : A

Question. If 200% of m = 50% of n, what is the relation between m and n?
(a) m is 150 more than n
(b) m is one fourth of n
(c) m is 150 less than n
(d) m is four times n

Answer : B

Question. Maya and Heena are each given a sheet of squared paper as shown below. They have to make patterns on these by covering each unit square with a different colour or design.
Heena takes 1 ½ times as long to paint a unit square on her sheet than Maya takes to paint one on hers. 
If Maya finishes painting her sheet in 25 minutes, how long does Heena take to finish hers?

(a) 24 minutes
(b) 37 ½  minutes
(c) 16  minutes
(d) 25  minutes

Answer : A

Question. A pan is half - filled with a mixture of grape juice and sugar syrup in the ratio of 2:3. (by volume)If grape juice is poured into the pan till it is full, what part of the resulting mixture is grape juice?

(a) 1/2
(b) 7/10
(c) 4/5
(d) 4/7

Answer : B

Question. A number x is increased by 20% to get another number y. By what percentage should y be decreased to get x?
(a) About 22.5%
(b) 20%
(c) About 16.7%
(d) It will depend on the value of x.

Answer : C

Question. For a fixed Principal P and a fixed rate of annual interest R%, in which of the following cases will the Simple Interest (SI) and Compound Interest (CI) be the same?
(a) SI for 2 years, CI for 2 years (compounded annually).
(b) SI for 2 years, CI for 1 year (compounded semi-annually).
(c) SI for 1 year, CI for 1 year (compounded semi-annually).
(d) SI for 1 year, CI for 1 year (compounded annually).

Answer : D

Question. What is the value of(3/n)² - 3/n², when n = 2?
(a) 0
(b) 3/4
(c) 3/2
(d) 15/4

Answer : C

Question. Rectangle PQXY and parallelogram PQRS are drawn as shown below:
Which fact about their area and perimeter is true?

	Area Comparison	Perimeter Comparison
A	Both Same	Both Same
B	Both Same	PQRS greater
C	PQRS greater	Both Same
D	PQRS greater	PQRS greater

(a) A
(b) B
(c) C
(d) D

Answer : B

Question. A number is increased by 10% and then it is decreased by 10%. Find the net increase or decrease percent.
(A) Decrease by 1%
(B) Decrease by 10%
(C) Increase by 2%
(D) Increase by 11%

Answer : A

Question. If S.P. of an article is 4/3 of its C.P., then the profit % in the transaction is ____.
(A) (1/3)%
(B) 20(1/2)%
(C) 33(1/3)%
(D) 25(1/2)%

Answer : C

Question. If 30% of 140 = x% of 840, then the value of x is ____.
(A) 5
(B) 15
(C) 24
(D) 60

Answer : A

Question. x is 5% of y, y is 24% of z. If x = 480, find the values of y and z respectively.
(A) 9500, 40000
(B) 9600, 40000
(C) 9800, 50000
(D) 9600, 50000

Answer : B

Question. If 12.5% of 192 = 50% of x, then x =
(A) 45
(B) 25
(C) 48
(D) 92

Answer : C

Question. The simple interest at x % for x years will be ₹ x on a sum of ____.
(A) ₹ x
(B) ₹ 100 x
(C) ₹ (100/x)
(D) ₹ (100/x²)

Answer : C

Question. The cost of a vehicle is ₹ 175000. If its value depreciates at the rate of 20% per annum, then the total depreciation after 3 years was ____.
(A) ₹ 86400
(B) ₹ 82500
(C) ₹ 84500
(D) ₹ 85400

Answer : D

Question. Select the INCORRECT match

	Principal (in ₹)	Rate% (p.a.)	Time (in years)	C.I. (in ₹)
(A)	1000	5%	3	157.63
(B)	360	20%	2	158.40
(C)	3000	10%	3	939
(D)	72000	6%	3	13753.15

Answer : C

Question. Simple interest on a certain amount is 9/16 of the principal. If the numbers representing the rate of interest (in percent) and time (in years) be equal, then time for which the principal is lent out, is ________.
(A) 5(1/2)years
(B) 6(1/2)years
(C) 7 years
(D) 7(1/2)years

Answer : D

Question. A watch worth ₹ 5400 is offered for sale at ₹ 4500. What percent discount is offered during the sale?
(A) 50/3
(B) 49/3
(C) 25/3
(D) 34/3

Answer : A

Question. The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 6,31,680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?
(A) 9,00,000
(B) 5,00,000
(C) 6,00,000
(D) 7,00,000

Answer : D

Question. When the price of a product was decreased by 10%, the number of products sold increased by 30%. What was the increase on the total revenue?
(A) 23%
(B) 16(2/3)%
(C) 15%
(D) 17%

Answer : D

Question. If a number x is 10% less than the another number y and y is 10% more than 125, then x is equal to ____.
(A) 123.75
(B) 140.55
(C) 143
(D) 150

Answer : A

Question. If 23% of a is 46, then find a.
(A) 150
(B) 200
(C) 20
(D) 300

Answer : B

Question. Monika purchased a pressure cooker at (9/10)^th of its selling price and sold it at 8% more than its S.P. Find her gain percent.
(A) 20%
(B) 10%
(C) 30%
(D) 40%

Answer : A

Question. A book was sold for ₹ 27.50 with a profit of 10%. If it were sold for ₹ 25.75, then what would have been the percentage of profit or loss?
(A) Loss, 3%
(B) Profit, 2%
(C) Profit, 3%
(D) Loss, 2%

Answer : C

Question. Pankaj borrowed ₹ 8000 for 2 years at 15% per annum. Calculate the amount, if interest is
(i) compounded annually
(ii) compounded half yearly
           (i)                       (ii)
(A) ₹ 10550            ₹ 11883.25
(B) ₹ 10090            ₹ 12432.75
(C) ₹ 10580            ₹ 10502.50
(D) ₹ 10580            ₹ 10683.75
Answer : D

Question. The difference between the compound interest and simple interest on a certain sum of money at 10% per annum for 2 years is ₹ 500. Find the sum when the interest is compounded annually.
(A) ₹ 50000
(B) ₹ 55000
(C) ₹ 40000
(D) ₹ 65000
Answer : A

Question. State ‘T’ for true and ‘F’ for false.
(i) A shopkeeper bought a cycle for ₹ 1200 and sold it for ₹ 1500, then his gain percentage is 25%.
(ii) 200 kg of sugar was purchased at the rate of ₹ 15 per kg and sold at a profit of 5%. Then selling price of sugar is ₹ 16 per kg.
(iii) A person sells an article for ₹ 550 and gain (1/10)th of the cost price. Then the gain percent is 11%.
(iv) The cost price of a dinning table is ₹ 1500 and its marked price is ₹ 1800. If a shopkeeper sells it at a loss of 8%, then the discount offered by him is 23(1/3)% .
     (i)       (ii)      (iii)     (iv)
(A) T        T         F        T
(B) F        F        T         F
(C) T        F        F         T
(D) F        F        T         T

Answer : C

Question. Sam invested ₹ 15000 at 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be
(A) ₹ 16500
(B) ₹ 16525.50
(C) ₹ 16537.50
(D) ₹ 18150

Answer : C

Question. A real estate agent receives ₹ 50,000 as commission, which is 4% of the selling price. At what price does the agent sell the property?
(A) ₹ 1250000
(B) ₹ 1025000
(C) ₹ 1125000
(D) ₹ 1450000

Answer : A

Question. Abha purchased a house from Avas Parishad on credit. If the cost of the house is ₹ 64000 and the rate of interest is 5% per annum compounded half-yearly, find the interest paid by Abha after one and a half year.
(A) ₹ 4900
(B) ₹ 4921
(C) ₹ 4810
(D) ₹ 4700

Answer : B

Question. A grocer purchased 80 kg of sugar at ₹ 13.50 per kg and mixed it with 120 kg of sugar of cost ₹16 per kg. At what rate should he sell the mixture (per kg) to gain 16%?
(A) ₹ 15.30
(B) ₹ 19.18
(C) ₹ 17.40
(D) ₹ 18.66

Answer : C

Question. A milkman sold two of his buffaloes for ₹ 20000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss.
(A) Loss of ₹ 1269.84
(B) Gain of ₹ 4268.84
(C) Gain of ₹ 1269.84
(D) Loss of ₹ 1200

Answer : A

Question. Match the following.

Column-I	Column-II
(i) Gun powder contains 75% nitre and 10% sulphur. The rest of it is charcoal. The amount of charcoal in 9 kg of gun powder (in kg) is	(a) 1.5
(ii) A cycle merchant allows 25% discount on the marked price of the cycles and still makes a profit of 20%. If he gains ₹ 360 over the sale of one cycle, the marked price of the cycle (in ₹) is	(b) 1.35
(iii) Time (in years) in which ₹ 64000 will amount to ₹ 68921 at 5% p.a., interest being compounded semi-annually is	(c) 2880

(A) (i)→(c), (ii)→(b), (iii)→(a)
(B) (i)→(b), (ii)→(a), (iii)→(c)
(C) (i)→(b), (ii)→(c), (iii)→(a)
(D) (i)→(c), (ii)→(a), (iii)→(b)

Answer : C

 

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