Comparing quantities topic is part of basic arithmetic and real world mathematics. It covers topics like comparision between ratios, impact of profit, loss, discount, taxes on prices and impact of rate on money transactions for simple interest and compound interest. All of these are part of our day to day routine, and the objective of comparing quantities chapter is to understand the mathematics behind these routine transactions.

Comparing quantities chapter is covered best in the NCERT books for class 8 maths book, which offers various examples and exercise to understand different concepts.

NCERT books are recommended course text books for students following Indian curriculum. They have been followed by CBSE and all other major school boards in India and abroad. Almost all of the public and private schools recommend this books to their students.

In this article, we have discussed about the Class 8 maths NCERT exercises for comparing quantities chapter. We have provided detailed video solutions of NCERT problems for Class 8. Students can look into solved NCERT exercises for class 8 mathematics.

Though comparing quantities chapter looks easy, but many students face difficulties in calculating the price increase due to gain/loss/discount etc, as well get confuse between simple and compound interest problems. These solved NCERT problems for class 8 will help in clearing the concepts of comparing quantities chapter, and also make student understand in how to avoid common mistakes in comparing quantities chapter.

## Class 8 math ncert solution comparing quantities chapter

**Exercise 8.1 solutions**

Q1 – 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 View Answer

Q2 – Convert the following ratios to percentages. (a) 3 : 4 (b) 2 : 3 View Answer

Q3 – 72% of 25 students are interested in mathematics. How many are not interested in mathematics? View Answer

Q4 – 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? View Answer

Q5 – If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning? View Answer

Q6 – 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 is 50 lakh, find the exact number who like each type of game. View Answer

**Exercise 8.2**

Q1 – A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary. View Answer

Q2 – On Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the per cent decrease in the people visiting the Zoo on Monday? View Answer

Q3 – A shopkeeper buys 80 articles for Rs 2,400 and sells them for a profit of 16%. Find the selling price of one article. View Answer

Q4 – The cost of an article was Rs 15,500. Rs 450 were spent on its repairs. If it is sold for a profit of 15%, find the selling price of the article. View Answer

Q5 – A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction. View Answer

Q6 – During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1450 and two shirts marked at Rs 850 each? View Answer

Q7 – A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss. View Answer

Q8 – The price of a TV is Rs 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it. View Answer

Q9 – Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is Rs 1,600, find the marked price. View Answer

Q10 – I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added. View Answer

Q11 – An article was purchased for Rs 1239 including GST of 18%. Find the price of the article before GST was added? View Answer

**Exercise 8.3**

Q1 – Calculate the amount and compound interest View Answer

Q2 – Kamala borrowed Rs 26,400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan? View Answer

Q3 – Fabina borrows Rs 12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much? View Answer

Q4 – I borrowed Rs 12,000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay? View Answer

Q5 – Vasudevan invested Rs 60,000 at an interest rate of 12% per annum compounded half yearly. What amount would he get (i) after 6 months? (ii) after 1 year? View Answer

Q6 – Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 1 1/2 years if the interest is(i) compounded annually.(ii) compounded half yearly View Answer

Q7 – Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find (i) The amount credited against her name at the end of the second year. (ii) The interest for the 3rd year View Answer

Q8 – Find the amount and the compound interest on Rs 10,000 for 1 1//2 years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually? View Answer

Q9 – Find the amount which Ram will get on Rs 4096, if he gave it for 18 months at 12 1/2% per annum, interest being compounded half yearly View Answer

Q10 – The population of a place increased to 54,000 in 2003 at a rate of 5% per annum (i) find the population in 2001. (ii) what would be its population in 2005? View Answer

Q11 – In a Laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5, 06,000. View Answer

Q12 – A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year. View Answer

## End Note

In the article, we have shared solutions for ncert exercises for class 8 maths for comparing quantities chapter. Students can click to respective chapters and refer to the right solution. We advise students to refer to them as clearing their concepts, and matching their solutions. Student should not use them to copy solutions for their homework and instead should try to solve homework on own, as it will impact their learning process.

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