NCERT Solutions Class 8 Maths Chapter 8 Exercise 8.1

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In order to fully understand the chapter, the students must examine all the example questions and exercise questions provided in the NCERT. Whether it is for an entrance exam or an end-of-term exam, this is a crucial component of exam preparation. If students have trouble understanding the solutions, NCERT has offered them through the example questions. Before beginning to solve the problems in the Chapter Comparing Quantities, students must have a fundamental understanding of the idea. Students are unable to answer the question using the principles they already know. To successfully answer difficult questions on any admission exam they may be taking, the student must fully understand the chapter, like the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1.

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities (EX 8.1) Exercise 8.1

The chapter on comparing quantities in the NCERT mathematics textbook comes after the chapter on triangles. Students would benefit from the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1 in understanding this chapter. An outline of the chapter is also provided in the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1. Along with the chapter summary, it covers a number of significant topics, including recalling percentages and ratios, finding the increase or decrease percentage, finding discounts, estimation of percentages, prices related to buying and selling (profit and loss), finding cost price, selling price, profit percentage, loss percentage, sales tax, value added tax, goods and services tax, compound interest, deducing a formula for compound interest, rate compounded annually or half-yearly (bi-annually), and applications of the compound interest formula. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1, will help them figure out these concepts and their proper application.

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NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities (Ex 8.1) Exercise 8.1

The Class 8 Maths Exercise 8.1 Solution on Extramarks provides answers for a number of chapters and ideas in the NCERT Class 8 Maths Chapter 8 Exercise 8.1 that are essential for students to understand. Some of the topics covered in Class 8 NCERT include rational numbers, linear equations in one variable, understanding quadrilaterals, practical geometry, data handling, squares and square roots, cube and cube roots, comparing quantities, algebraic expressions and identities, visualizing solid shapes, mensuration, exponents and powers, diverse and inverse properties, factorization, introduction and playing with numbers. The NCERT Class 8 Maths Chapter 8 Exercise 8.1 also mentions these. Each of these chapters should be carefully read by students, one at a time.

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities (Ex 8.1) Exercise 8.1

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NCERT Solutions for Class 8

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Q.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 ₹ 5

Ans

a Ratio of the speed of cycle to the speed of scooter=1530=1:2(b) Since 1 km = 1000 m,Required ratio=5m10 km=5m10×1000 m=1:2000(c) Since1 = 100 paise,Required ratio=50 paise₹ 5=50paise500paise=1:10

Q.2 Convert the following ratios to percentages.

(a) 3 : 4

(b) 2 : 3

Ans

(a) 3:4=34=34×100100=34×100%=75%(b) 2:3=23=23×100100=23×100%=2003%=6623%

Q.3 72% of 25 students are good in mathematics. How many are not good in mathematics?

Ans

Given that 72% of 25 students are good in mathematics.Therefore,Percentage of students who are not goodin mathematics =(100 72)%=28%.Thus,thenumber of students who are not good inmathematics=28100×25= 7Hence, 7 students are not good in mathematics.

Q.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?

Ans

Let the total number of matches played by the team be x.It is given that the team won 10 matches and the winningpercentage of the team was 40%.Therefore,40100×x=10x=10×10040x=25Hence, the team played 25 matches in all.

Q.5 If Chameli had ₹ 600 left after spending 75% of her money, how much did she have in the beginning?

Ans

Let the amount of money which Chameli had in thebeginning be x.It is given that after spending 75% of ₹ x, shewas left with ₹ 600.Therefore,(100 75)% of x=Rs 600

25% of x=60025100×x=600x=(600×10025)= 2400Hence, she had ₹ 2400 in the beginning.

Q.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.

Ans

Percentage of people who like other games=(1006030)% =(10090)% =10%It is given that the total number of people=50 lakhNumber of people who like cricket=(60100×50)lakh=30lakhNumber of people who like football=(30100×50)lakh=15lakhNumber of people who like other games=(10100×50)lakh=5lakh

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FAQs (Frequently Asked Questions)

1. How can students' understanding of the chapters and books be aided by the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1?

With the use of the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1, students can resolve many of the NCERT’s questions. By responding to these questions, students can establish the foundation for understanding these ideas. With the help of the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1, students may find solutions to many NCERT questions. Students may find it challenging to respond to these questions, particularly those who are not familiar with percentages pricing and taxes. Students should focus on providing solutions to the Class 8 Maths Exercise 8.1. If they tackle the questions methodically, students can provide answers. This makes it easier for students to understand the right way to approach a given topic. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1 can help students achieve good results and prepare for any exam. Through the use of the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1, students can learn more effective methods for answering questions quickly and assisting them in achieving their academic objectives. Additionally, they can help students learn how to organise their responses and interpret the questions. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1 covers this.

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