The NCERT Solutions for Class 8 Maths Chapter 8, Comparing Quantities, consist of a set of problems and solutions for all the questions present in the NCERT textbook Exercise 8.1. The solutions prepared by the experts at BYJU’S help the students to improve their understanding and acquire conceptual clarity. Our goal is to bring out the very best in students by providing the answers to the exercises that are tailored to their grade levels, abilities and interests. Download free NCERT Solutions for Maths Chapter 8 and begin the exam preparation now!
NCERT Solutions for Class 8 Maths Chapter 8 – Comparing Quantities Exercise 8.1
Access Answers to NCERT Class 8 Maths Chapter 8 – Comparing Quantities Exercise 8.1 Page Number 119
Exercise 8.1 Page No: 119
1. Find the ratio of the following:
(a) Speed of a cycle 15 km per hour to the speed of a scooter 30 km per hour.
(b) 5 m to 10 km
(c) 50 paise to ₹ 5
Solution:
a) Ratio of the speed of the cycle to the speed of the scooter = 15/30 = ½ = 1:2
b) Since 1 km = 1000 m
5m/10 km = 5 m/(10 x 1000)m = 5/10000 = 1/2000 = 1:2000
The required ratio is 1:2000
c) Since, ₹1 = 100 paise
50 paise/₹5 = 50/(5 x 100) = 50/500 = 1/10 = 1:10
The required ratio is 1:10
2. Convert the following ratio to percentages:
a) 3:4
b) 2:3
Solution:
a) 3:4 = ¾ = ¾ x 100% = 0.75 x 100% = 75%
b) 2:3 = 2/3 = 2/3 x 100% = 0.666 x 100% = 66.66% = 66â…”%
3. 72% of 25 students are good in mathematics. How many are not good in mathematics?
Solution:
It’s given that 72% of 25 students are good in mathematics
So, the percentage of students who are not good in mathematics = (100 – 72)%
= 28%
Here, the number of students who are good in mathematics = 72/100 x 25 = 18
Thus, the number of students who are not good in mathematics = 25 – 18 = 7
[Also, 28% of 25 = 28/100 x 25 = 7]Therefore, 7 students are not good in mathematics.
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?
Solution:
Let the total number of matches played by the team be x.
Given that the team won 10 matches and the winning percentage of the team was 40%.
⇒ 40/100 × x = 10
40x = 10 × 100
40x = 1000
x = 1000/40
= 100/4
= 25
Therefore, the team played 25 matches.
5. If Chameli had ₹600 left after spending 75% of her money, how much did she have in the beginning?
Solution:
Let the amount of money which Chameli had, in the beginning, be x
Given that, after spending 75% of ₹x, she was left with ₹600
So, (100 – 75)% of x = ₹600
Or, 25% of x = ₹600
25/100 × x = ₹600
x = ₹600 × 4
= ₹2400
Therefore, Chameli had ₹2400 in the beginning.
6. If 60% of people in the 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 is 50 lakhs, find the exact number who like each type of game.
Solution:
Percentage of people who like other games = (100 – 60 – 30)%
= (100 – 90)%
= 10%
Total number of people = 50 lakhs
So,
Number of people who like cricket = 60/100 x 50 = 30 lakhs
Number of people who like football = 30/100 x 50 = 15 lakhs
Number of people who like other games = 10/100 x 50 = 5 lakhs
Access Other Exercise Solutions of Class 8 Maths Chapter 8 – Comparing Quantities
Exercise 8.2 Solutions 10 Questions (4 Long Answer Questions, 6 Short Answer Questions)
Exercise 8.3 Solutions 12 Questions (6 Long Answer Questions, 6 Short Answer Questions)
NCERT Solutions for Class 8 Maths Chapter 8 – Comparing Quantities Exercise 8.1
Exercise 8.1 of NCERT Solutions for Class 8 Maths Chapter 8 – Comparing Quantities is based on the concepts of ratio and percentage. Solving the first exercise of the eighth chapter, Comparing Quantities, helps the students recall what they learned in their previous classes. The ratio is nothing but a comparison of two quantities. This comparison can also be done using percentages. Students will learn more about it in Exercise 8.1 in Class 8.
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