NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2

# NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2

## NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2

NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 are the part of NCERT Solutions for Class 7 Maths. Here you can find the NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2.

### Ex 8.2 Class 7 Maths Question 1.

Convert the given fractional numbers to per cents.

Solution:

### Ex 8.2 Class 7 Maths Question 2.

Convert the given decimal fractions to per cents.
(Ð°) 0.65
(b) 2.1
(c) 0.02
(d) 12.35

Solution:
(a) 0.65 = 0.65 × 100% = 65%
(b) 2.1 = 2.1 × 100% = 210%
(c) 0.02 = 0.02 × 100% = 2%
(d) 12.35 = 12.35 × 100% = 1235%

### Ex 8.2 Class 7 Maths Question 3.

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

Solution:
(i) Fraction of the coloured part = ¼
Percentage of the coloured parts

(ii) Fraction of the coloured part = 3/5
Percentage of the coloured parts

(iii) Fraction of the coloured part = 3/8
Percentage of the coloured parts

### Ex 8.2 Class 7 Maths Question 4.

Find:
(a) 15% of 250
(b) 1% of 1 hour
(c) 20% of ₹ 2500
(d) 75% of 1 kg

Solution:
(a) 15% of 250 = 15/100 × 250 = 75/2 = 37.5
(b) 1% of 1 hour = 1% of 60 minutes     [
1 h = 60 min]

### Ex 8.2 Class 7 Maths 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 required whole quantity be x.
(a) 5% of x = 600

Thus, the whole quantity is 12,000.

(b) 12% of x = ₹1080

Thus, the whole quantity is ₹ 9,000.

(c) 40% of x = 500 km

Thus, the whole quantity is 1250 km.

(d) 70% of x = 14 minutes

Thus, the whole quantity is 20 minutes.

(e) 8% of x = 40 litre

Thus, the whole quantity is 500 litres.

### Ex 8.2 Class 7 Maths 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:

### Ex 8.2 Class 7 Maths Question 7.

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

Solution:
Given: In a city, 30% are females; 40% are males and remaining are children.
Total percentage of females and males = 30% + 40% = 70%
Percentage of children = (100 – 70)% = 30%

### Ex 8.2 Class 7 Maths 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:
Total number of voters = 15,000
Percentage of the voters who voted = 60%
Percentage of the voters who did not vote = (100 – 60)% = 40%
Actual number of voters who did not vote
= 40% of 15,000
= 40/100 × 15,000 = 6,000

Thus, 6,000 voters actually did not vote.

### Ex 8.2 Class 7 Maths Question 9.

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

Solution:
Let Meena’s salary by ₹ x.
Then 10% of x = ₹ 400

Thus, her salary is ₹ 4000.

### Ex 8.2 Class 7 Maths Question 10.

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

Solution:
The number of matches played by the cricket team = 20
Percentage of the matches won by the team = 25%
Number of matches won by the team = 25/100 × 20 = 5 matches
Thus, the number of matches won by the cricket team is 5.

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