 # Ncert Solutions for comparing quantities Class 8 maths Chapter 8 CBSE Part 1

In this page we have NCERT book Solutions for Class 8 Maths Chapter 8:comparing quantities for EXERCISE 1 . Hope you like them and do not forget to like , social share and comment at the end of the page.
Question 1
Find the ratio of the following.
(a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.
(b) 5 m to 10 km
(c) 50 paise to Rs 5
a)
Required ratio =15/30 =1/2 =1:2
b) Require ratio =5m/10 km
=5m/10×1000m= 1/2000 = 1:2000
c)
Require ratio =50paise/Rs 5
=50paise/500 paise= 1/10 = 1:10
Question 2
Convert the following ratios to percentages.
(a) 3 : 4
(b) 2 : 3
1) 3:4 =3/4
% can be find by multiplying 100
So %= (¾)× 100=  75%
2) 2:3 =2/3
% can be find by multiplying 100
So %= (2/3)× 100=  (200/3)%
Question 3
72% of 25 students are good in mathematics. How many are not good in mathematics?
Percentage of Students not good in math = 100 - 72 = 28
So No of students not good in Mathematics
=28% of 25 = 28×(25/100)= 7
Question 4
A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?
Let us assume total number of matches = y
Then % of matches win=  (10/y)× 100
Now it is given % of matches win=40
So
40=(10/y)× 100
y=(10/40) ×100 =25
Question 5
If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?
Answer: Money left after spending 75% = 100-75 = 25%
Let us assume total money = y
Then 25% of y =600
25 ×(y/100)=600
y=2400
Chameli had Rs. 2,400 in the beginning

Question 6
If 60% people in a city like cricket, 30% like football and the remaining like other games, then what per cent of the people like other games? If the total number of people are 50 lakh, find the exact number who like each type of game.
% of Cricket Fans = 60%
% of Football Fans = 30%
So, Other Sports’ Fans = 100 - (60 + 30) = 10% people like other games.
Now it is given total number of population is 50 Lakh= 50,00,000
So Number of  cricket fan
=50,00,000 ×( 60/100) =30,00,000= 30 Lakh
So Number of  Football fan
=50,00,000 ×( 30/100) =15,00,000= 15 Lakh
So Number of  other games fan
=50,00,000 ×( 10/100) =5,00,000= 5 Lakh

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Reference Books for class 8 Math

Given below are the links of some of the reference books for class 8 Math.

1. Mathematics Foundation Course for JEE/Olympiad : Class 8 This book can take students maths skills further. Only buy if child is interested in Olympiad/JEE foundation courses.
2. Mathematics for Class 8 by R S Aggarwal Detailed Mathematics book to clear basics and concepts. I would say it is a must have book for class 8 student.
3. Pearson Foundation Series (IIT -JEE / NEET) Physics, Chemistry, Maths & Biology for Class 8 (Main Books) | PCMB Combo : These set of books could help your child if he aims to get extra knowledge of science and maths. These would be helpful if child wants to prepare for competitive exams like JEE/NEET. Only buy if you can provide help to the child while studying.
4. Reasoning Olympiad Workbook - Class 8 :- Reasoning helps sharpen the mind of child. I would recommend students practicing reasoning even though they are not appearing for Olympiad.

You can use above books for extra knowledge and practicing different questions.

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