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

Students can Download Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths helps you to revise the complete Karnataka State Board Syllabus and to clear all their doubts, score well in final exams.

Karnataka State Syllabus Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2

Question 1.
Convert the given fractional numbers to percents.
a) \frac{1}{8}
Solution:
Percent means per hundred. So multi-plied by 100.
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 4

b) \frac{5}{4}
Solution:
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 5

c) \frac{3}{40}
Solution:
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 6

d) \frac{2}{7}
Solution:
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 7

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

Converting the fraction 9/20 as a decimal is very easy.

Question 2.
Convert the given decimal fractions to per cents.
a) 0.65
Solution:
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 8

b) 2.1
Solution:
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 9

c) 0.02
Solution:
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 1

d) 12.35
Solution:
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 2

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

Question 3.
Estimate what part of the figures is coloured and hence find the per cent which is coloured. (a) 0.65, (b) 2.1, (c) 0.02, (d) 12.35.
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 10
Solution:
(i) \(\frac{1}{4}\) of the figure is coloured.
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 11
∴ 25% of the figure is coloured.

(ii) \(\frac{3}{5}\) of the figure is coloured.

KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 12
∴ in the second figur e 60% Is coloured.

(iii) \(\frac{3}{8}\) of the figure is coloured.
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 13
∴ In the third figure 37.5 % is coloured.

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

Question 4.
Find :
a) 15% of 250
Solution:
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 14

b) 1% of 1 hour
Solution:
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 15
∴ 1% of 1 hour is \(\frac{3}{5}\) minutes or 36 seconds.

c) 20% of ₹ 2500
Solution:
We have, 20% of ₹ 2500
\(\frac{20}{100}\) × 2500 = ₹ 500
∴ 20% of ₹ 2500 is ₹ 500.

d) 75% of  1 kg
Solution:
We have, 75% of 1 kg
\(\frac{75}{100}\) × 1000 = 750 g
∴ 75% of 1 kg is 750 g.

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

Question 5.
Find the whole quantity if
a) 5% of it is 600.
Solution:
Let the whole quantity be ‘m’
∴ 5% of m = 600
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 16
∴ The whole quantity is 12,000.

b) 12% of its 1080.
Solution:
Let the whole quantity be ‘m’
∴ 12% of m = Rs. 1080
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 17
∴ The whole amount be Rs. 9.000

c) 40 % of it is 500 km
Solution:
Let the whole quantity be ‘m’
∴ 40% of m = 500 km
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 18
∴ The whole amount is 1250 kms

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

d) 70% of it is 14 minutes
Solution:
Let the whole quantity be ‘m’
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 19
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 20
∴ The whole amount is 20 minutes

e) 8% of it is 40 litres.
Solution:
Let the whole quantity be ‘m’
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 21
∴ The whole amount be 500 liters

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

Question 6.
Convert given per cents to decimal fractions and also to fractions in simplest forms:
Solution:
(a) 25%
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 22

(b) 150%
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 23

(c) 20%
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 24

(d) 5%
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 25

Question 7.
In a city, 30% are females, 40% are males, and the remaining are children. What percent are children?
Solution:
females = 30%
males = 40%
= 100 – (30 + 40)
remaining are children = 100 – 70 = 30%
∴ Percentage of children = 30%

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

Convert cgpa to percentage according mumbai university rule.

Question 8.
Out of 15,000 votes 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 no. of voters in a constituency = 15,000
Percentage of voted = 60%
∴ Percentage of voters who did not vote
= 100 – 60 = 40%
Actual number of voters who did not vote} = 40% of 15,000
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 3
6000 voters who 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 ‘M’
10% of M is = Rs. 400
∴ M =?
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 26
∴ Her salary be Rs. 4,000/-

Question 10.
A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?
Solution:
Let the total matches won by them be M 25% of 20 = M
KSEEB Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2 27
∴ They win 5 matches.

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

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