**Comparing Quantities**

**Question 1.****Convert the given fractional number to per cents :(a)**

**(b)**

**(c)**

**(d)**

**Solution:**

**Question 2.****Convert the given decimal fractions to per cents.(a)** 0.65

**(b)**2.1

**(c)**0.02

**(d)**12.35

**Solution:**

**Question 3.****Estimate what part of the figures is coloured and hence find the per cent which is coloured.**

**Solution:**

**Question 4.****Find :(a)** 15% of 250

**(b)**1% of 1 hour

**(c)**20% of ₹ 2500

**(d)**75% of 1 kg

**Solution:**

**Question 5.****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 litres

**Solution:**

**Question 6.****Convert given per cents to decimal fractions and also to fractions in simplest forms :(a)** 25%

**(b)**150%

**(c)**20%

**(d)**5%

**Solution:**

**Question 7.****In a city, 30% are females, 40% are males and remaining are children. What per cent are children?**

**Solution:**

In a city,

Percentage of females = 30%

Percentage of males = 40%

Percentage of children = (100 – 30 – 40)% = 30%

**Question 8.****Out of 15,000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you now find how many actually did not vote?**

**Solution:**

Percentage of voters who voted = 60%

Percentage of voters who did not vote = (100 – 60)% = 40%

Total number of voters = 15000

Number of voters who did not vote

= 40% of 15000

= ( × 15000 ) = 6000

**Question 9.****Meeta saves ₹ 400 from her salary. If this is 10% of her salary, what is her salary?**

**Solution:**

**Question 10.****A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?**

**Solution:**

Out of 100, 25% matches are won. Then, out of 20, the number of matches that the team won

= × 20 = × 20 = 5