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  • Last Modified 30-08-2022

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities

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NCERT Solutions For Class 8 Maths Chapter 8: NCERT books are structured in a way that each chapter is followed by an exercise. Students need to go through all the topics in the chapter to be able to answer the questions in the exercise appropriately. The solution set for class 8 maths chapter 8 is prepared by a team of experts who understand the exam pattern and the marking scheme followed by NCERT. Students can follow these answers to understand the correct approach that needs to be followed to answer the questions appropriately.

CBSE Class 8 Maths Chapter 8 talks about Ratios, Converting Percentage into Fraction, Increase or Decrease in Percentage, Discounts, Tax Calculation for Purchase Goods and many more. Embibe offers 470+ practice questions for all the sub-topics of chapter 8. Students must practice all the in-text questions offered by Embibe to score good marks in the exams. Keep reading the article to know NCERT solutions for Class 8 Maths chapter 8.

NCERT Solutions for Class 8 Maths Chapter 8: Important Topics

Comparing Quantities may seem a bit difficult for the students to understand at first. But, practising the problems on a regular basis helps students to easily grasp the concepts and find the solutions to the problems. Students must solve as many practice questions as possible to develop proficiency in problem-solving.

Embibe offers solutions to each and every question mentioned in Class 8 Maths chapter 8 textbook considering the latest syllabus. Moreover, students can solve the problems for free at Embibe to score good marks. Embibe also offers NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for free.

Below-mentioned is the list of topics present in Class 8 Maths chapter 8.

S.NoTopic Name
1Ratios and Percentages
2Increase or Decrease as Per Cent
3Discounts
4Profit and Loss
5Taxes on Sale of an Item
6Compound Interest
7Rate Compounded Annually or Half Yearly
8Applications of Compound Interest Formula

NCERT Solutions for Class 8 Maths Chapter 8: Points to Remember

Some of the important points to remember for Class 8 Maths Chapter 8 have been mentioned below.

  • Percent:
    (i) Percent means per hundred or for every hundred.
    (ii) A fraction with its denominator as 100100 is called a percent and is equal to that percent as is the numerator.
    (iii) A ratio with its second term 100100 is also called a percent.
  • Converting to Percent:
    (i) To convert a fraction into a percent, we multiply the fraction by 100100.
    (ii) To convert a ratio into a percent, we write it as a fraction and multiply it by 100100.
    (iii) To convert a decimal into a percent, we shift the decimal point two places to the right.
  • Converting from Percent:
    (i) To convert a percent into a fraction, we drop percent sign (%) and divide the remainder by 100100
    (ii) To convert a percent into a ratio, we drop percent sign (%) and form a ratio with the remaining number as the first term and 100100 as the second term.
    (iii) To convert a percent into a decimal, we drop percent sign (%) and shift the decimal point two places to the left.
  • If the borrower and the lender agree to fix up a certain interval of time (say, a year or a half-year or a quarter of a year etc.) so that the amount at the end of an interval becomes the principal for the next interval, then the total interest over all the intervals calculated in this way is called the compound interest and is denoted by C.I.
    Also, C.I.=Amount−Principal

NCERT Solutions for Class 8 Maths: All Chapters

FAQs on NCERT Solutions for Class 8 Maths Chapter 8

Q.1: If Chameli had ₹600 left after spending 75% of her money, how much did she have in the beginning?

Ans: Let the money with Chameli be ₹100
Money spent by her = 75% of 100
= 75/100 × 100 = ₹75
The money left with her = ₹100 – ₹75 = ₹25
₹25 are left with her out of ₹100
₹1 is left with her out of ₹100/25
₹600 will be left out of ₹100/25 × 600 = ₹2400
Hence, she had ₹2400 in beginning.

Q.2: Find the ratio of the following:
(i) Speed of a cycle 15 km per hour to the speed of a scooter 30 km per hour
(ii) 5 m to 10 km
(iii) 50 paise to ₹5

Ans: i) Ratio of the speed of cycle to the scooter = 15/30 = 1:2
ii) Since 1 km = 1000m, so the required ratio is:
5m/10000m = 1:2000
iii) Since ₹1 = 100 paisa
₹5 = 500 paisa
So, the required ratio is 50 paise/500 paise = 1/10 = 1:10

Q.3: Convert the following ratios to percentages.
(i) 3:4
(ii) 2:3

Ans: i) 3:4 = 3/4 = 3/4 x 100/100 = 3/4 x 100% = 75%
ii) 2:3 = 2/3 = 2/3 x 100/100 = 2/3 x 100% = 66.6%

Q.4: 72% of 25 students are good in mathematics. How many are not good in mathematics?

Ans: It is given that 72% of 25 students are good in mathematics.
Therefore,
Percentage of students who are not good in mathematics = (100 − 72)%
= 28%
∴Number of students who are not good in mathematics = 28/7 x 100
= 7
Thus, 7 students are not good in mathematics.

Q.5: If 60% of 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 = (100 − 60 − 30)%
= (100 − 90)% = 10 %
Total number of people = 50 lakh
Therefore, the number of people who like cricket = (60/100 x 50) = 30 lakh
Number of people who like football = (30/100 x 50) = 15 lakh
Number of people who like other games = (10/100 x 50) = 5 lakh

Adaptive Practice with Solutions To Help You Ace Important Topics for 12th CBSE