**Question** 1:

Convert the given fractional numbers to per cents.

(a) (b)

(c) (d)

**Answer**:

(a)

(b)

(c)

(d)

**Question** 2:

Convert the given decimal fractions to per cents.

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

**Answer**:

(a) 0.65

(b)2.1

(c) 0.02

(d) 12.35

**Question** 3:

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

**Answer**:

(i) Here, 1 part out of 4 equal parts are shaded which represents the fraction .

(ii) Here, 3 parts out of 5 equal parts are shaded which represents the fraction .

(iii) Here, 3 parts out of 8 equal parts are shaded which represents the fraction .

**Question** 4:

Find:

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

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

**Answer**:

(a)

(b) 1 hour = 60 minutes

(c)

(d)

**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

**Answer**:

(a) 5% of *x *= 600

(b) 12% of *x *= Rs 1080

(c) 40% of *x* = 500 km

(d) 70% of *x *= 14 min

(e) 8% of *x* = 40 L

= 500 L

**Question** 6:

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

(a) 25% (b) 150%

(c) 20% (d) 5%

**Answer**:

(a) 25%

(b) 150%

(c) 20%

(d) 5%

**Question** 7:

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

**Answer**:

It is given that 30% are females and 40% are males.

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?

**Answer**:

Percentage of voters who voted = 60%

Percentage of those who did not vote = 100% − 60% = 40%

Number of people who did not vote = 40% of 15000

Therefore, 6000 people did not vote.

**Question** 9:

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

**Answer**:

Let Meeta’s salary be Rs* x*.

Given that,

10% of *x *= 400

*x* = 400 × 10 = Rs 4000

Therefore, Meeta’s salary is Rs 4000.

**Question** 10:

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

**Answer**:

Number of games won = 25% of 20

Therefore, the team won 5 matches.