# 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 km^{2} and area of U.P. = 2 lakh km^{2}.

(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?