#### Chapters

Chapter 2: Fractions and Decimals

Chapter 3: Data Handling

Chapter 4: Simple Equations

Chapter 5: Lines and Angles

Chapter 6: The Triangle and its Properties

Chapter 7: Congruence of Triangles

Chapter 8: Comparing Quantities

Chapter 9: Rational Numbers

Chapter 10: Practical Geometry

Chapter 11: Perimeter and Area

Chapter 12: Algebraic Expressions

Chapter 13: Exponents and Powers

Chapter 14: Symmetry

Chapter 15: Visualising Solid Shapes

#### NCERT Mathematics Class 7

## Chapter 8: Comparing Quantities

#### Chapter 8: Comparing Quantities Exercise 8.10 solutions [Page 157]

Find the ratio of Rs 5 to 50 paise

Find the ratio of 15 kg to 210 g

Find the ratio of 9 m to 27 cm

Find the ratio of 30 days to 36 hours

In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

Population of Rajasthan = 570 lakhs and population of UP = 1660 lakhs.

Area of Rajasthan = 3 lakh km^{2} and area of UP = 2 lakh km^{2}.

1) How many people are there per km^{2} in both these States?

2) Which State is less populated?

#### Chapter 8: Comparing Quantities Exercise 8.20 solutions [Pages 164 - 165]

Convert the given fractional numbers to per cents.

`1/8`

Convert the given fractional numbers to per cents.

`5/4`

Convert the given fractional numbers to per cents.

`3/40`

Convert the given fractional numbers to per cents.

`2/7`

Convert the given decimal fractions to per cents.

0.65

Convert the given decimal fractions to per cents.

2.1

Convert the given decimal fractions to per cents.

0.02

Convert the given decimal fractions to per cents.

12.35

Estimate what part of the figure is coloured and hence find the per cent which is coloured

Estimate what part of the figure is coloured and hence find the per cent which is coloured

Estimate what part of the figure is coloured and hence find the per cent which is coloured

Find: 15% of 250

Find: 1% of 1 hour

Find: 20% of Rs 2500

Find: 75% of 1 kg`

Find the whole quantity if 5% of it is 600

Find the whole quantity if 12% of it is 1080

Find the whole quantity if 40% of it is 500 km

Find the whole quantity if 70% of it is 14 minutes

Find the whole quantity if 8% of it is 40 litres

Convert given percents to decimal fractions and also to fractions in simplest forms:

25%

Convert given percents to decimal fractions and also to fractions in simplest forms

150%

Convert given percents to decimal fractions and also to fractions in simplest forms:

20%

Convert given percents to decimal fractions and also to fractions in simplest forms:

5%

In a city, 30% are females, 40% are males and remaining are children. What per cent are children?

Out of 15, 000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you now find how many actually did not vote?

Meeta saves Rs 400 from her salary. If this is 10% of her salary. What is her salary?

A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?

#### Chapter 8: Comparing Quantities Exercise 8.30 solutions [Pages 171 - 172]

Tell what is the profit or loss in the following transactions. Also find profit

percent or loss percent in given case.

Gardening shears bought for Rs 250 and sold for Rs 325.

Tell what is the profit or loss in the following transactions. Also find profit percent or loss percent in given case.

A refrigerator bought for Rs 12,000 and sold at Rs 13,500.

Tell what is the profit or loss in the following transactions. Also find profit percent or loss percent in given case.

A cupboard bought for Rs 2,500 and sold at Rs 3,000

Tell what is the profit or loss in the following transactions. Also find profit percent or loss percent in given case.

A skirt bought for Rs 250 and sold at Rs 150.

Convert each part of the ratio to percentage:

3:1

Convert each part of the ratio to percentage:

2:3:5

Convert each part of the ratio to percentage:

1:4

Convert each part of the ratio to percentage:

1:2:5

The population of a city decreased from 25,000 to 24,500. Find the percentage decrease

Arun bought a car for Rs 3,50,000. The next year, the price went upto Rs 3,70,000. What was the percentage of price increase?

I buy a T.V. for Rs 10,000 and sell it at a profit of 20%. How much money do I get for it?

Juhi sells a washing machine for Rs 13, 500. She loses 20% in the bargain. What was the price at which she bought it?

Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk.

If in a stick of chalk, carbon is 3g, what is the weight of the chalk stick?

Amina buys a book for Rs 275 and sells it at a loss of 15%. How much does she sell it for?

Find the amount to be paid at the end of 3 years in given case:

Principal = Rs 1,200 at 12% p.a.

Find the amount to be paid at the end of 3 years in given case: Principal = Rs 7,500 at 5% p.a.

What rate gives Rs 280 as interest on a sum of Rs 56,000 in 2 years?

If Meena gives an interest of Rs 45 for one year at 9% rate p.a.. What is the sum she has borrowed?

## Chapter 8: Comparing Quantities

#### NCERT Mathematics Class 7

#### Textbook solutions for Class 7

## NCERT solutions for Class 7 Mathematics chapter 8 - Comparing Quantities

NCERT solutions for Class 7 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 for Class 7 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 7 Mathematics chapter 8 Comparing Quantities are Interest for Multiple Years, Charge Given on Borrowed Money Or Simple Interest, Profit Or Loss as a Percentage, Prices Related to an Item Or Buying and Selling, Increase Or Decrease as per Cent, Ratios to Percents, Use of Percentages - Converting Percentages to “How Many”, Use of Percentages -interpreting Percentages, Concept of Estimation, Converting Decimals to Percentage, Converting Fractional Numbers to Percentage, Meaning of Percentage, Percentage – Another Way of Comparing Quantities, Concept of Equivalent Ratios, Introduction of Comparing Quanttitite.

Using NCERT Class 7 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 7 prefer NCERT Textbook Solutions to score more in exam.

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