CBSE Class 8 Mathematics Comparing Quantities Worksheet Set A

Question. In a cricket match, Pakistan had to score 307 runs in 50 overs to win. They scored at an average rate of 5.6 runs per over in the first 20 overs. What should be their average run rate per over for the remaining overs in order to reach the target?
(a) 5.6
(b) 6.14
(c) 6.5
(d) 8.4

Answer : C

Question. It is believed that a rectangle in which the length to breadth ratio is about 1.62, is most pleasant to the human eye. Such a rectangle is called a Golden Rectangle. Which of the following rectangles is closest to a Golden Rectangle?

Answer : D

Question. If we increase a number x by 33%, the resulting number would be 
(a) 33 + x
(b) 1.33x
(c) 100x + 33 / 100
(d) 33x

Answer : B

Question. The ratio of Neha's age to that of Jane is 4:7 and the ratio of Jane's age to that of Smita is 4:3. If Smita is 21 years old, how old is Neha?
(a) 4 years
(b) 16 years
(c) 21 years
(d) 28 years

Answer : B

Question. A part of Mr. Nitin’s telephone bill is shown in image 1. 
For what period this bill is given.

(a) 1st March 2003 to 31st March 2003.
(b) 23rd May 2003 to 16th June 2003.
(c) 16th June 2003 to 16th September 2003.
(d) 1st March 2003 to 30th April 2003.

Answer : D

Question. A part of Mr. Nitin’s telephone bill is shown in image 1. 
Call charges are calculated as image 2.
What are the total call charges for this bill?

(a) Rs 1250
(b) Rs 1400
(c) Rs 1450
(d) Rs 1500

Answer : C

Question. A survey was conducted among schoolchildren in a city to find out the average number of hours they spent on the computer every week. The results are shown in the pie chart. Study it to the answer question 
What percent of the school children who were surveyed spend over 5 hours weekly on the computer?

(a) 35
(b) 10
(c) 9
(d) 1

Answer : C

Question. A survey was conducted among schoolchildren in a city to find out the average number of hours they spent on the computer every week. The results are shown in the pie chart. Study it to the answer question 
The actual number of students in the '2 to 5 Hours' category was 312.What was the total number of students who took part in the survey?

(a) 78
(b) 936
(c) 1248
(d) 3120

Answer : C

Question. A survey was conducted among schoolchildren in a city to find out the average number of hours they spent on the computer every week. The results are shown in the pie chart. Study it to the answer question 
Among the students who were in the 'Below 1 Hour' category, 5% had never used a computer. What percent of the total number of students surveyed had never used a computer?

(a) 0.50%
(b) 2%
(c) 15%
(d) 50%

Answer : A

Question. Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are about to eat it, an unexpected guest arrives and Nandini has to now re-divide the halwa into five equal portions. By what percentage has each family member's share reduced due to this?
(a) 5%
(b) 10%
(c) 20%
(d) 25%

Answer : C

Question. Bipasha can eat 24 rasgullas in 12 minutes. Her friend Sujata takes double the time to eat the same number.One day they buy 24 rasgullas and start eating them. If they eat at their normal speeds till the rasgullas are over, how many rasgullas would Sujata have eaten?
(a) 6
(b) 8
(c) 12
(d) 16

Answer : B

Question. See the table showing a relation between x and y. 
Which of these is the correct relation between x and y?

(a) 4x = y
(b) x/y = 4
(c) xy = 4
(d) y = x - 3

Answer : B

Question. Shivani pays Rs. 450 for a ready-made salwar kurta set she buys from Grandways during a sale (see the notice). How much money did she save because of the sale?

(a) Rs 55
(b) Rs 50
(c) Rs 49.50
(d) Rs 40.50

Answer : B

Question. Ginny has a set of 6 small cubes of the same size with designs painted on the faces. No two faces (among ALL 6 cubes) have the same design.
Ginny wants to stick all 6 cubes together so that the maximum number of different designs are visible from outside. Which of the solids shown below should she form?

Answer : D

Question. What is the least number of degrees by which figure X has to be rotated about its centre to get figure Y?

(a) 60⁰
(b) 45⁰
(c) 30⁰
(d) 15⁰

Answer : C

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

Answer : C

Question. If 5% more is gained by selling an article for ₹ 350 than by selling it for ₹ 340, what is the cost of the article ?
(A) ₹ 50
(B) '₹ 160
(C) ₹ 200
(D) ₹ 225

Answer : C

Question. The C.L on a certain sum for 2 years is ₹ 410 and S.L is ₹400. What is the rate of interest per annum ?
(A) 10%
(C) 5%
(B) 8%
(D) 4%

Answer : C

Question. In what time will ₹1000 amount to ₹1331 at 10% p.a. compounded annually?
(A) 4 years
(B) 3 years
(C) 2 years
(D) 1 year

Answer : B

Question. A man bought 542 kg of sugar for ₹ 7560.90 and sold it so as to gain 20%.
What is the selling price per kilogram of sugar?
(A) ₹ 16.74
(C) ₹ 31.46
(B) ₹ 22.92
(D) ₹ 12.24

Answer : A

Question. In what time will a sum of ₹800 at 5% p.a. C.L amount to ₹882 ?
(A) 1 year
(B) 5 years
(C) 4 years
(D) 2 years

Answer : D

Question. The S.L on a sum of money for two years is ₹660, while C.L is ₹696.30, the rate of interest being the same in both the cases. Find the rate of interest
(A) 10%
(C) 12%
(B) 10(1/2)%
(D) 11%

Answer : D

Question. A trader marks his goods 30% above the ₹ cost price but makes a reduction of 6 4% on the marked price for ready money.
What is his gain percent ?
(A) 23.75%
(B) 23.25%
(C) 21.875%
(D) 20%

Answer : C

Question. Ravi sold an article to Sudhir at a profit of 6% who in turn sold it to Gopal at a loss of 5%. If Gopal paid ₹2014 for the article, find the cost price of the article for Ravi.
(A) ₹ 2020
(C) ₹ 1900
(B) ₹ 2000
(D) ₹ 2011

Answer : B

Question. If a merchant estimates his profit as 20% of the selling price, what is his real profit percent.
(A) 25%
(B) 20%
(C) 22%
(D) 30%

Answer : A

Question. Karuna bought a car for a certain sum of money. She spent 1 0% of the cost on repairs and sold the car for a profit of ₹11 000. How much did she spend on repairs, if she made a profit of 20% ?
(A) ₹ 4000
(C) ₹ 5500
(B) ₹ 4400
(D) ₹ 5000

Answer : D

Question. If the discount is 10%, what is the M.P of an item bought for ₹ 9 ?
(A) ₹ 11
(B) ₹ 10
(C) ₹ 8.1 0
(D) ₹ 12

Answer : B

Question. A pair of articles was bought for ₹ 37.40 at a discount of 15%. What was the marked price of each of the articles?
(A) ₹ 11
(B) ₹ 22
(C) ₹ 33
(D) ₹ 44

Answer : B

Question. A shopkeeper fixes the M.P. of an item 35% above its C.P. What is the percentage of discount allowed to gain 8%?
(A) 43%
(B) 30%
(C) 20%
(D) 31%

Answer : C

Question. What will be the list price of an article which is sold for ₹ y after giving a discount of x% ?
(A) 100y/100 - x
(C) 100y/1-(X/100)
(B) 100y/1 - x
(D) 100 - x/100 - y

Answer : A

Question. The selling price of 4 articles is the same as the C.P of 5 articles. What is the profit percent?
(A) 25%
(B) 20%
(C) 18%
(D) 15%

Answer : A

Question. By selling 20 mangoes, a person recovers the price of 25 mangoes. What is the profit percentage ?
(A} 20%
(B) 25%
(C) 27.5%
(D) 22.5%

Answer : B

Question. What is a single discount equivalent to a series discount of 20%, 10% and 5% ?
(A) 81%
(B) 31.4%
(C) 31.6%
(D) 32%

Answer : C

Very Short Answer type Questions

Question. Two number are in the ratio 3 : 4 and their sum is 84. Find the numbers.
Answer : 36, 48

Question. Find the ratio of 5 paise to Rs. 25.
Answer : 1 : 500

Question. Find the discount percent when marked price is Rs. 900 and selling price is Rs. 873.
Answer : 3%

Question. The cost price of 10 pencils is equal to the selling price of 8 pencils. What is the profit percentage?
Answer : 25%

Question. Radhika earned Rs. 16,000 in a month. She saves 20% of her income. How much does she spend?
Answer : Rs. 12,800

Question. What will be difference between compound interest and simple interest on Rs. 2000 at 10% for 2 years.
Answer : Rs. 20

Question. Find the amount Preeti has to pay to the bank after 2 years at 4% per annum on Rs.625. If the Interest is compounded annually.
Answer : Rs. 676

Question. Mrs. Sunita has got 20% increase in her salary. If her salary was Rs. 18000. What will be her new salary?
Answer : Rs. 21,600

Question. In how much time will a sum of money double itself, if invested at 5% simple interest per annum.
Answer : 20 years

Question. Find the ratio of 15 min. to 1 hour.
Answer : 1 : 4

Question. The cost price of a table is Rs. 1500 and gain is 12% what is its selling price.
Answer : Rs. 1680

Question. Convert the ratio 1:4 into percent.
Answer : 25%

Question. The list price of washing machine is Rs. 26,000. A discount of 10% was given by the shopkeeper to attract the customers. How much money does one has to pay?
Answer : Rs. 23,400

Question. The cost of 6 pens is Rs. 72. What would be the cost of 10 such pens?
Answer : Rs. 120

Question. The price of a computer is Rs. 48,000. The sales tax charged was 4%, what is the amount to be payed by Mr. Gupta?
Answer : Rs. 49,920

Question. 25% of x = 250. Find x.
Answer : 1000

Question. Which is more : (90% of 800) or (70% of 1100)?
Answer : (70% of 1100)

Question. Vijay has bought a motor bike for Rs. 32,400 including 8% VAT. What is the price of motorbike before VAT.
Answer : Rs. 30,000

Question. Express 4/25 as a percentage.
Answer : 16%

Please click the below link to access CBSE Class 8 Compairing Quantities Worksheet (1)