NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2, are part of NCERT Solutions for Class 7 Maths. Here we have given 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
Question 1.
Convert the given fractional numbers to per cents.
(a) \(\frac { 1 }{ 8 } \)
(b) \(\frac { 5 }{ 4 } \)
(c) \(\frac { 3 }{ 40 } \)
(d) \(\frac { 2 }{ 7 } \)
Solution:
Question 2.
Convert the given decimal fractions to per cents.
(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 per cent which is coloured.
Solution:
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:
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 per cent are children?
Solution:
[100% (30% + 40%)] are children
⇒ [100% – 70% ] are children
⇒ 30% are children.
Question 8.
Out of 15,000 voters in a consti-tuency, 60% voted. Find the percentage of voters who did not vote. Can you now find how many actually did not vote?
Solution:
100% – 60% = 40% did not vote. Number of voters who did not actually vote
= 40% of 15,000
= \(\frac { 40 }{ 100 } \) × 15000 = 6000.
Question 9.
Meeta saves ₹ 400 from her salary. If this is 10% of her salary. What is her salary?
Solution:
Let her salary be ₹ P. Then, 10% of P = 400
⇒ \(\frac { 10 }{ 100 } \) × p = 400 ⇒ \(\frac { P }{ 10 } \) = 400
⇒ P = 400 × 10
⇒ P = 4000
Hence, her 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:
Let the total number of matches won be P. Then,
25% of 20 = P
⇒ \(\frac { 25 }{ 100 } \) × 20 = p ⇒ 5 = p
⇒ p = 5
Hence, they won 5 matches.
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