# NCERT Solutions for Class 8 Maths Chapter 8 Comparing quantities Exercise 8.1

In this page we have NCERT Solutions for Class 8 Maths Chapter 8 Comparing quantities Exercise 8.1.This exercise contains questions on Ratio and percentages.How to find the ratio, how to convert ratio into percentages. Hope you like them and do not forget to like , social share and comment at the end of the page.

## NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.1

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
(a) 3:4 =3/4
% can be find by multiplying 100
So %= (¾)× 100=  75%
(b) 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?
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

## Summary

1. NCERT Solutions for Class 8 Maths Chapter 8 Comparing quantities Exercise 8.1 has been prepared by Expert with utmost care. If you find any mistake.Please do provide feedback on mail. You can download the solutions as PDF in the below Link also
2. This chapter 8 has total 3 Exercise 8.1 ,8.2 and 8.3. This is the First exercise in the chapter.You can explore previous exercise of this chapter by clicking the link below