#### Chapters

Chapter 2: Linear Equations in One Variable

Chapter 3: Understanding Quadrilaterals

Chapter 4: Practical Geometry

Chapter 5: Data Handling

Chapter 6: Squares and Square Roots

Chapter 7: Cubes and Cube Roots

Chapter 8: Comparing Quantities

Chapter 9: Algebraic Expressions and Identities

Chapter 10: Visualising Solid Shapes

Chapter 11: Mensuration

Chapter 12: Exponents and Powers

Chapter 13: Direct and Inverse Proportions

Chapter 14: Factorisation

Chapter 15: Introduction to Graphs

Chapter 16: Playing with Numbers

#### NCERT Mathematics Class 8

## Chapter 8: Comparing Quantities

#### Chapter 8: Comparing Quantities Exercise 8.10 solutions [Pages 119 - 120]

Find the ratio of the Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.

Find the ratio of 5 m to 10 km

Find the ratio of 50 paise to Rs 5

Convert the following ratios to percentages.

3:4

Convert the following ratios to percentages.

2:3

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

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?

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

If 60% people in 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.

#### Chapter 8: Comparing Quantities Exercise 8.20 solutions [Page 125]

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

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?

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

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

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.

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?

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.

(**Hint:** Find CP of each)

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,

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.

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

An article was purchased for ` 1239 including GST of 18%. Find the price of the

article before GST was added?

#### Chapter 8: Comparing Quantities Exercise 8.30 solutions [Pages 133 - 134]

Calculate the amount and compound interest on Rs 10800 for 3 years at `12 1/2` % per annum compounded annually.

Calculate the amount and compound interest on Rs 18000 for `2 1/2` years at 10% per annum compounded annually.

Calculate the amount and compound interest on Rs 62500 for `1 1/2` years at 8% per annum compounded half yearly.

Calculate the amount and compound interest on Rs 8000 for 1 year at 9% per annum compound half yearly. (You could use the year by year calculation using SI formula to verify)

Calculate the amount and compound interest on Rs 10000 for 1 year at 8% per annum compounded half yearly.

Kamala borrowed Rs 26400 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?

(Hint: Find A for 2 years with interest is compounded yearly and then find SI on the 2^{nd} year amount for `4/12` years.)

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?

I borrowed Rs 12000 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?

Vasudevan invested Rs 60000 at an interest rate of 12% per annum compounded half yearly. What amount would he get

(1) after 6 months?

(2) after 1 year?

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

(1) Compounded annually

(2) Compounded half yearly

Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find.

1) The amount credited against her name at the end of the second year

2) The interest for the 3^{rd} year.

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?

Find the amount which Ram will get on Rs 4,096, he gave it for 18 months at `12 1/2` %per annum, interest being compounded half yearly.

The population of a place increased to 54000 in 2003 at a rate of 5% per annum find the population in 2001

The population of a place increased to 54000 in 2003 at a rate of 5% per annum what would be its population in 2005?

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.

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

## Chapter 8: Comparing Quantities

#### NCERT Mathematics Class 8

#### Textbook solutions for Class 8

## NCERT solutions for Class 8 Mathematics chapter 8 - Comparing Quantities

NCERT solutions for Class 8 Maths chapter 8 (Comparing Quantities) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics Textbook for Class 8 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com are providing such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 8 Mathematics chapter 8 Comparing Quantities are Concept of Percentage, Decimal Fraction, Calculation of Percentage, Applications of Compound Interest Formula, Rate Compounded Annually Or Half Yearly (Semi Annually), Deducing a Formula for Compound Interest, Conept of Compound Interest, Sales Tax/Value Added Tax, Finding Cost Price/Selling Price, Profit %/Loss%, Prices Related to Buying and Selling (Profit and Loss), Finding Discounts - Estimation in Percentages, Concept of Finding Discounts, Finding the Increase Or Decrease per Cent, Recalling Ratios and Percentages.

Using NCERT Class 8 solutions Comparing Quantities exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 8 prefer NCERT Textbook Solutions to score more in exam.

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