Students can Download Chapter 8 Comparing Quantities Ex 8.2, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations.

## 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.

b) \(\frac{5}{4}\)

Solution:

c) \(\frac{3}{40}\)

Solution:

d) \(\frac{2}{7}\)

Solution:

Question 2.

Convert the given decimal fractions to per cents.

a) 0.65

Solution:

b) 2.1

Solution:

c) 0.02

Solution:

d) 12.35

Solution:

Question 3.

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

Solution:

∴ In the first figure 25% is coloured.

∴ in the second figur e 50% Is coloured,.

∴ In the third figure 37.5 % is coloured.

Question 4.

Find :

a) 15% of 250

Solution:

b) 1% of 1 hour

Solution:

c) 20% of ₹ 2500

Solution:

d) 75% of ₹ 1 kg

Solution:

Question 5.

Find the whole quantity if

a) 5% of it is 600.

Solution:

Let the whole quantity be ‘m’

∴ 5% of m = 600

∴ The whole quantity is 12,000.

b) 12% of its 1080.

Solution:

Let the whole quantity be ‘m’

∴ 12% of m = Rs. 1080

∴ 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

∴ The whole amount is 1250 kms

d) 70% of it is 14 minutes

Let the whole quantity be ‘m’

∴ The whole amount is 20 minutes

e) 8% of it is 40 litres.

Let the whole quantity be ‘m’

∴ The whole amount be 500 liters

Question 6.

Convert given per cents to decimal fractions and also to fractions in simplest forms:

Solution:

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%

children = 100 – (30 + 40)

remaining are children = 100 – 70 = 30%

∴ Percentage of children = 30%

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

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 =?

∴ 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?

Let the total matches won by them be M 25% of 20 = M

∴ They win 5 matches.