 # NCERT Solutions for Class 7 Maths Chapter 8 Free PDF Download

## NCERT Solutions for Class 7 Maths Chapter 8 – Comparing Quantities

Class 7th is a very interesting and intellectual class because in this students start to learn about new things and topics. Also, the subject Maths starts to use more difficult and complex equations. This is where our NCERT Solutions for Class 7 Maths Chapter 8 comes forward as they have the answer to all your doubts and queries. Above all, it contains all the question/answer that the chapter contains.

These NCERT Solutions for Class 7 Maths Chapter 8 prepared by our experts who understand the student’s mindset. Also, they make complex explanation simpler so that students can easily understand them. Apart from that, they are available on Toppr for free of cost.

### CBSE Class 7 Maths Chapter 8 – Comparing Quantities NCERT Solutions

Comparing quantities refer to the ratio between two or more quantities that are alike. Also, it proposes that we can simplify ratios by dividing its term by the same number. ### Subtopics covered under NCERT Solutions for Class 7 Maths Chapter 8

#### 8.1 Introduction

This topic discusses the ways by which we can compare two numbers. Also, with the help of various examples, the comparison is explained.

#### 8.2 Equivalent Ratios

It refers to the two ratios that express the same connection between numbers. Also, we can create them by dividing or multiplying the denominator and numerator of the specified number.

#### 8.3 Percentage- Another Way of Comparing Quantities

This topic discusses the way of using percentages for comparing quantities.

8.3.1 Meaning of percentage- Percentage refers to the number that represents a value per hundred.

8.3.2 Converting Fractional Numbers to percentage- This topic with the help of example describes the way of converting percentage into a fraction.

8.3.3 Converting decimals to percentage- This topic discusses the way of converting decimals into a percentage with the help of an example.

8.3.4 Converting percentage to Fraction or Decimals- This topic explains the way of converting the percentage to decimals and fraction.

8.3.5 Fun with Estimation- By this process, we try to figure out the percentage of given estimation.

#### 8.4 Use of Percentages

8.4.1 Interpreting Percentages- This topic judges the value of a figure by its percentage.

8.4.2 Converting Percentages to “How Many”- This topic shows how to convert the percentage to numbers so that real figures can be obtained.

8.4.3 Ratios to Percentage- With the help of an example this topic discusses the way of converting ratios to percentage.

8.4.4 Increase or Decrease as percent- This topic tells the way of finding out the percentage increase or decrease of an amount.

Percentage increase or decrease = $$\frac{amount of change}{original amount or base}$$ x 100

#### 8.5 Prices related to an Item or Buying and Selling

This topic explains the process of buying and selling and the different term used for them like cost price (CP), and selling price (SP).

8.5.1 Profit or Loss as a Percentage- This topic tells the way of calculating profit or loss of the given figures.

Profit or loss percent = $$\frac{profit or loss amount}{cost price (CP)}$$ x 100

#### 8.6 Charge Given on Borrowed Money or Simple Interest

This topic discusses the way of calculating simple interest (the interest that remains constant).

Amount = Principle + Interest.

8.6.1 Interest for Multiple Years- This topic tells the way of calculating interest for multiple years.

Formula = $$\frac{T×R×P}{100}$$ = $$\frac{PRT}{100}$$

Where P= Principal, R= Rate, T= Time

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