NCERT Solutions Class 8 Maths Chapter 8 Exercise 8.1
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Everyone benefits greatly from reading NCERT. NCERT is particularly important for students studying for the CBSE board exams. Teachers urge students to prepare for every exam, including entrance examinations and board exams, particularly the CBSE board exam, by studying NCERT. Some students might additionally want to practise taking tests by answering additional questions. In addition to entrance exam preparation, Extramarks offers coursespecific study materials for exams like the JEE, NEET, CUET, and others. Extramarks offers study materials for a selection of international examinations, such as the SAT, PSAT, and TOEFL. As they get ready for any exam, students can use Extramarks to their advantage. The tools on the Extramarks website and app must be used by students, like the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1.
To effectively manage their time during an exam, students need to be able to complete a question quickly. In order to review their answer sheet at the end of the exam and check for any big errors, students must effectively manage their time during the exam. Before starting to respond to the questions, one must thoroughly go over the materials that were provided to the students in order to appropriately apply the solution and formula. This gives students time to fix their errors and also enables them to see how and where they should have answered the questions correctly.
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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 endofterm 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 halfyearly (biannually), 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
For the students to fully understand the chapter, the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1 must be utilized in conjunction with all example questions and exercise problems. Whether it is for an entrance exam or an endofterm exam, this is a crucial component of exam preparation. Students may find it challenging to understand the solutions given by NCERT through the sample questions and by Extramarks through NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1. Before tackling the Mathematics problems, students should have a fundamental understanding of the idea, which they can do by using the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1. Students are unable to respond to the question because of the prior knowledge they have. The student must fully understand the chapter in order to respond appropriately to difficult questions on any admissions examinations they may take. For this, they can make use of the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1.
There is no doubt that reading NCERT is advantageous for all kids. NCERT is essential for students getting ready for the CBSE board exams. Teachers advise students to study NCERT while they prepare for any exam, including entrance examinations and board exams, with an emphasis on the CBSE board test. Some students may use additional Mathematics questions to hone their exam strategies. The SAT, PSAT, and TOEFL are a few of the foreign tests for which Extramarks offers study guides. Students who are preparing for any exam might use Extramarks’ aid. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1, are among the resources that students must use from the Extramarks website.
NCERT Solutions for Class 8
In addition to the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1, Extramarks provides supplementary content. It provides tools like study aids, mock exams, example questions, NCERT solutions, and more. More NCERT Solutions are accessible for numerous chapters and disciplines for all levels of study, just like the NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1.
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Therefore, students who need academic assistance must visit the Extramarks website. The NCERT Solutions For Class 8 Maths Chapter 8 Exercise 8.1 can help them with any query they need about the Class 8 Maths Chapter 8 Exercise 8.1.
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
$\begin{array}{l}\left(\mathrm{a}\right)\mathrm{Ratio}\text{}\mathrm{of}\text{}\mathrm{the}\text{}\mathrm{speed}\text{}\mathrm{of}\text{}\mathrm{cycle}\text{}\mathrm{to}\text{}\mathrm{the}\text{}\mathrm{speed}\text{}\mathrm{of}\text{}\mathrm{scooter}=\frac{15}{30}=1:2\\ \left(\mathrm{b}\right)\text{}\mathrm{Since}\text{}1\text{}\mathrm{km}\text{}=\text{}1000\text{}\mathrm{m},\\ \therefore \mathrm{Required}\text{}\mathrm{ratio}=\frac{5\text{}\mathrm{m}}{10\text{}\mathrm{km}}=\frac{5\text{}\mathrm{m}}{10\times 1000\text{}\mathrm{m}}=1:2000\\ \\ \left(\mathrm{c}\right)\text{}\mathrm{Since}\text{\u20b9}1\text{}=\text{}100\text{}\mathrm{paise},\\ \therefore \mathrm{Required}\text{}\mathrm{ratio}=\frac{50\text{}\mathrm{paise}}{\text{\u20b9\hspace{0.17em}}5}=\frac{50\text{\hspace{0.17em}}\mathrm{paise}}{500\text{\hspace{0.17em}}\mathrm{paise}}=1:10\end{array}$
Q.2 Convert the following ratios to percentages.
(a) 3 : 4
(b) 2 : 3
Ans
$\begin{array}{l}\left(\text{a}\right)3:4=\frac{3}{4}=\frac{3}{4}\times \frac{100}{100}=\frac{3}{4}\times 100\%=75\%\\ \left(\text{b}\right)2:3=\frac{2}{3}=\frac{2}{3}\times \frac{100}{100}=\frac{2}{3}\times 100\%=\frac{200}{3}\%=66\frac{2}{3}\%\end{array}$
Q.3 72% of 25 students are good in mathematics. How many are not good in mathematics?
Ans
$\begin{array}{l}\text{Given that 72}\mathrm{\%}\text{of 25 students are good in mathematics}.\\ \\ \text{Therefore},\text{Percentage of students who are not good}\\ \text{in mathematics}=(\text{1}00\text{}\text{72})\mathrm{\%}=\text{28}\mathrm{\%}.\\ \\ \mathrm{Thus},\mathrm{the}\text{\hspace{0.17em}}\mathrm{n}\text{umber of students who are not good in}\\ \text{mathematics}=\frac{28}{100}\times 25=\text{7}\\ \\ \text{Hence},\text{7 students are not good in mathematics}.\end{array}$
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
$\begin{array}{l}\text{Let the total number of matches played by the team be}\mathrm{x}.\\ \\ \text{It is given that the team won 10 matches and the winning}\\ \text{percentage of the team was 40}\mathrm{\%}\text{.}\\ \\ \text{Therefore,}\\ \frac{40}{100}\times \mathrm{x}=10\\ \Rightarrow \mathrm{x}=10\times \frac{100}{40}\\ \Rightarrow \mathrm{x}=25\\ \\ \text{Hence, the team played 25 matches in all.}\end{array}$
Q.5 If Chameli had ₹ 600 left after spending 75% of her money, how much did she have in the beginning?
Ans
$\begin{array}{l}\text{Let the amount of money which Chameli had in the}\\ \text{beginning be}\mathrm{x}.\\ \text{It is given that after spending}75\mathrm{\%}\text{of \u20b9}\mathrm{x},\text{she}\\ \text{was left with \u20b9}600.\\ \text{Therefore},(100\text{}\text{}75)\mathrm{\%}\text{of}\mathrm{x}=\text{Rs}600\end{array}$
$\begin{array}{l}\Rightarrow \text{}25\mathrm{\%}\text{of}\mathrm{x}=\text{\u20b9}600\\ \Rightarrow \frac{25}{100}\times \mathrm{x}=\text{\u20b9}600\\ \Rightarrow \mathrm{x}=\u20b9(600\times \frac{100}{25})=\u20b9\text{}2400\\ \\ \text{Hence, she had \u20b9 2400 in the beginning.}\end{array}$
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
$\begin{array}{l}\mathrm{Percentage}\text{}\mathrm{of}\text{}\mathrm{people}\text{}\mathrm{who}\text{}\mathrm{like}\text{}\mathrm{other}\text{}\mathrm{games}=(1006030)\mathrm{\%}\\ \text{}=(10090)\mathrm{\%}\\ \text{}=10\mathrm{\%}\\ \text{It is given that the total num}\mathrm{ber}\text{}\mathrm{of}\text{}\mathrm{people}=50\text{}\mathrm{lakh}\\ \\ \therefore \mathrm{Number}\text{}\mathrm{of}\text{}\mathrm{people}\text{}\mathrm{who}\text{}\mathrm{like}\text{}\mathrm{cricket}=(\frac{60}{100}\times 50)\mathrm{lakh}=30\text{}\mathrm{lakh}\\ \mathrm{Number}\text{}\mathrm{of}\text{}\mathrm{people}\text{}\mathrm{who}\text{}\mathrm{like}\text{}\mathrm{football}=(\frac{30}{100}\times 50)\mathrm{lakh}=15\text{}\mathrm{lakh}\\ \mathrm{Number}\text{}\mathrm{of}\text{}\mathrm{people}\text{}\mathrm{who}\text{}\mathrm{like}\text{}\mathrm{other}\text{}\mathrm{games}=(\frac{10}{100}\times 50)\mathrm{lakh}=5\text{}\mathrm{lakh}\end{array}$
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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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