NCERT Solutions  Class 7 Maths Chapter 8  Comparing Quantities
CBSE Solutions  Maths Class 7
Check the below NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Pdf free download. NCERT Solutions Class 7 Maths were prepared based on the latest exam pattern. We have Provided Comparing Quantities Class 7 Maths NCERT Solutions to help students understand the concept very well.
NCERT  Class 7 Maths
Book:  National Council of Educational Research and Training (NCERT) 

Board:  Central Board of Secondary Education (CBSE) 
Class:  7th 
Subject:  Maths 
Chapter:  8 
Chapters Name:  Comparing Quantities 
Medium:  English 
Comparing Quantities  Class 7 Maths  NCERT Books Solutions
You can refer to MCQ Questions for Class 7 Maths Chapter 8 Comparing Quantities to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.
NCERT Solutions for Class 7 Maths Chapte 8 Comparing Quantities Exercise 8.1
Ex 8.1 Class 7 Maths Question 1.
Find the ratio of:(a) ₹5 to 50 paise
(b) 15 kg to 210 kg
(c) 9 m to 27 cm
(d) 30 days to 36 hours
Solution:
Ex 8.1 Class 7 Maths Question 2.
In a computer lab, there are 3 computers for every 6 students. How many computers are needed for 24 students?Solution:
∵ For every 6 students, there are 3 computers∴ For 1 student there are \(\frac { 3 }{ 6 } \) computer
∴ For 24 students there are \(\frac { 3 }{ 6 } \) × 24 computers = 12 computers
Hence, 12 computers are needed for 24 students.
Ex 8.1 Class 7 Maths Question 3.
Population of Rajasthan = 570 lakhs and population of U.P. = 1660lakhs. Area of Rajasthan = 3 lakh km2 and area of U.P. = 2 lakh km^{2}.(i) How many people are there per km^{2} in both these states?
(ii) Which state is less populated?
Solution:
NCERT Solutions for Class 7 Maths Chapte 8 Comparing Quantities Exercise 8.2
Ex 8.2 Class 7 Maths Question 1.
Convert the given fractional number to per cents :(a) \(\frac { 1 }{ 8 } \)
(b) \(\frac { 5 }{ 4 } \)
(c) \(\frac { 3 }{ 40 } \)
(d) \(\frac { 2 }{ 7 } \)
Solution:
Ex 8.2 Class 7 Maths Question 2.
Convert the given decimal fractions to per cents.(a) 0.65
(b) 2.1
(c) 0.02
(d) 12.35
Solution:
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:
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:
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:
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:
In a city,Percentage of females = 30%
Percentage of males = 40%
Percentage of children = (100 – 30 – 40)% = 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:
Percentage of voters who voted = 60%Percentage of voters who did not vote = (100 – 60)% = 40%
Total number of voters = 15000
Number of voters who did not vote
= 40% of 15000
= ( \(\frac { 40 }{ 100 } \) × 15000 ) = 6000
Ex 8.2 Class 7 Maths Question 9.
Meeta saves ₹ 400 from her salary. If this is 10% of her salary, what is her salary?Solution:
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:
Out of 100, 25% matches are won. Then, out of 20, the number of matches that the team won= \(\frac { 25 }{ 100 } \) × 20 = \(\frac { 1 }{ 4 } \) × 20 = 5
NCERT Solutions for Class 7 Maths Chapte 8 Comparing Quantities Exercise 8.3
Ex 8.3 Class 7 Maths Question 1.
Tell what is the profit or loss in the following transactions. Also find profit per cent or loss per cent in each case.(a) Gardening shears bought for ₹ 250 and sold for ₹ 325.
(b) A refrigerator bought for ₹ 12,000 and sold at ₹ 13,500.
(c) A cupboard bought for ₹ 2,500 and sold at ₹ 3,000.
(d) A skirt bought for ₹ 250 and sold at ₹ 150.
Solution:
Ex 8.3 Class 7 Maths Question 2.
Convert each part of the ratio to percentage :(a) 3 : 1
(b) 2 : 3 : 5
(c) 1 : 4
(d) 1 : 2 : 5
Solution:
Ex 8.3 Class 7 Maths Question 3.
The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.Solution:
Original population of the city = 25000Decreased population of the city = 24500
∴ Decrease in population = 25000 – 24500 = 500
∴ Percentage of decrease = ( \(\frac { 500 }{ 25000 } \) × 100 ) % = 2%
Ex 8.3 Class 7 Maths Question 4.
Arun bought a car for ₹ 3,50,000. The next year, the price went upto ₹ 3,70,000. What was the percentage of price increase?Solution:
Original cost of the car = ₹ 3,50,000Increased cost of the car = ₹ 3,70,000
∴ Increase in price = ₹ (370000 – 350000)
= ₹ 20,000
∴ Percentage increase = ( \(\frac { 20000 }{ 350000 } \) × 100 )% = \(\frac { 40 }{ 7 } \) % = 5 \(\frac { 5 }{ 7 } \)%
Ex 8.3 Class 7 Maths Question 5.
I buy a T.V. for ₹ 10,000 and sell it at a profit of 20%. How much money do I get for it?Solution:
Ex 8.3 Class 7 Maths Question 6.
Juhi sells a washing machine for ? 13,500. She loses 20% in the bargain. What was the price at which she bought it?Solution:
We have, S.P. = ₹13,500 and loss = 20%.Ex 8.3 Class 7 Maths Question 7.
(i) Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk.(ii) If in a stick of chalk, carbon in 3g, what is the weight of the chalk stick?
Solution:
Ex 8.3 Class 7 Maths Question 8.
Amina buys a book for ₹ 275 and sells it at a loss of 15%. How much does she sell it for?Solution:
Ex 8.3 Class 7 Maths Question 9.
Find the amount to be paid at the end of 3 years in each case :(a) Principal = ₹ 1,200 at 12% p.a.
(b) Principal = ₹ 7,500 at 5% p.a.
Solution:
Ex 8.3 Class 7 Maths Question 10.
What rate gives ₹ 280 as interest on a sum of ₹ 56,000 in 2 years?Solution:
Ex 8.3 Class 7 Maths Question 11.
If Meena gives an interest of ₹ 45 for one year at 9% rate p.a. What is the sum she has borrowed?Solution:
NCERT Class 7 Maths
Class 7 Maths Chapters  Maths Class 7 Chapter 8
NCERT Solutions for Class 7 Maths
NCERT Solutions of Maths Class 7 Chapterwise
Chapterwise NCERT Solutions for Class 7 Maths

NCERT Solutions For Class 7 Maths Chapter 1 Integers
NCERT Solutions For Class 7 Maths Chapter 2 Fractions and Decimals
NCERT Solutions For Class 7 Maths Chapter 3 Data Handling
NCERT Solutions For Class 7 Maths Chapter 4 Simple Equations
NCERT Solutions For Class 7 Maths Chapter 5 Lines and Angles
NCERT Solutions For Class 7 Maths Chapter 6 The Triangles and its Properties
NCERT Solutions For Class 7 Maths Chapter 7 Congruence of Triangles
NCERT Solutions For Class 7 Maths Chapter 8 Comparing Quantities
NCERT Solutions For Class 7 Maths Chapter 9 Rational Numbers
NCERT Solutions For Class 7 Maths Chapter 10 Practical Geometry
NCERT Solutions For Class 7 Maths Chapter 11 Perimeter and Area
NCERT Solutions For Class 7 Maths Chapter 12 Algebraic Expressions
NCERT Solutions For Class 7 Maths Chapter 13 Exponents and Powers
NCERT Solutions For Class 7 Maths Chapter 14 Symmetry
NCERT Solutions For Class 7 Maths Chapter 15 Visualising Solid Shapes
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