Comparing Quantities

Exercise 1

1.    Find the ratio of:

(a) ∠ 5 to 50 paise               (b) 15 kg to 210 g

(c) 9 m to 27 cm                   (d) 30 days to 36 hours

2.    In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

3.    Population of Rajasthan = 570 lakhs and population of U.P. = 1660 lakhs. Area of Rajasthan = 3 lakh km2 and area of U.P. = 2 lakh km2.

(i) How many people are there per km2 in both states?

(ii) Which state is less populated?

Exercise 2

4.    Convert the given fractional numbers to percent:

5.    Convert the given decimal fractions to percents:

(a) 0.65                   (b) 2.1                    (c) 0.02                 (d) 12.35


6.    Estimate what part of the figures is coloured and hence find the percent which is coloured:

7.    Find:

(a) 15% of 250                          (b) 1% of 1 hour

(c) 20% of 2500                       (d) 75% of 1 kg

8.   Find the whole quantity if:

(a) 5% of it is 600                    (b) 12% of it is 1080

(c) 40% of it is 500 km           (d) 70% of it is 14 minutes

(e) 8% of it is 40 liters

9.    Convert given percents to decimal fractions and also to fractions in simplest forms:

(a) 25%            (b) 150%            (c) 20%              (d) 5%

10.  In a city, 30% are females, 40% are males and remaining are children. What percent are children?


11.   Out of 15,000 voters in a constituency, 60^ voted. Find the percentage of voters who did not Can you now find how many actually did not vote?

12.  Meeta saves 400 from her salary. If this is 10% of her salary. What is her salary?

13.  A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?

Exercise 3

14.  Tell what is the profit or loss in the following transactions. Also find profit percent or loss percent in each case.

(a) Gardening shears bought for ₹ 250 and sold for ₹ 325.

(b) A refrigerator bought ₹ 12,000 and sold at ₹ 13,500.

(c) A cupboard bought for ₹ 2,500 and sold at ₹ 3,000.

(d) A skirt bought for ₹ 250 and sold at ₹ 150.


15.  Convert each part of the ratio to percentage:

(a) 3 : 1             (b) 2 : 3 : 5             (c) 1 : 4            (d) 1 : 2 : 5

16.  The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.

17.  Arun bought a car for ₹ 3,50,000. The next year, the price went up to ₹ 3,70,000. What was the percentage of price increase?

18.  I buy a T.V. for ₹ 10,000 and sell it at a profit of 20%. How much money do I get for it?

19.  Juhi sells a washing machine for ₹ 13,500. She loses 20% in the bargain. What was the price at which she bought it?


20.  (i) Chalk contains Calcium, Carbon and Oxygen in the ratio 10 : 3 : 12. Find the percentage of Carbon in chalk.

(ii) If in a stick of chalk, Carbon is 3 g, what is the weight of the chalk stick?

21.  Amina buys a book for ₹ 275 and sells it at a loss of 15%. How much does she sell it for?

22.  Find the amount to be paid at the end of 3 years in each case:

(a) Principal = ₹ 1,200 at 12% p.a.

(b) Principal = ₹ 7,500 at 5% p.a.

23.  What rate gives ₹ 280 as interest on a sum of ₹ 56,000 in 2 years?

24.  If Meena gives an interest of ₹ 45 for one year at 9% rate p.a. What is the sum she has borrowed?