## MP Board Class 7th Maths Solutions Chapter 8 Comparing Quantities Ex 8.2

Question 1.

Convert the given fractional numbers to percents.

Solution:

Question 2.

Convert the given decimal fractions to percents.

(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 percent which is coloured.

Solution:

(i) Here, 1 part out of 4 equals parts is shaded which represents the fraction \(\frac{1}{4}\).

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

(iii) Here 3 parts out of 8 equal parts are shaded which represents the fraction \(\frac{3}{8}\).

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:

Let the whole quantity be x.

Question 6.

Convert given percents 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 percent are children?

Solution:

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

Children = 100% – (40% + 30%)

= 100% – 70% = 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 those who did not vote = 100% – 60%

= 40%

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

= 40% × 15000

Therefore, 6000 people did not vote.

Question 9.

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

Solution:

Let Meeta’s salary be ₹ x.

Given that, 10% of x = 400

Therefore, Meeta’s salary is ₹ 4000.

Question 10.

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

Solution:

Number of games won = 25% of 20

\(=\frac{25}{100} \times 20=5\)

Therefore, the team won 5 matches.