# NCERT Exemplar Class 7 Maths Chapter 7 Solutions: Comparing Quantities

NCERT Exemplar Class 7 Maths Solutions Chapter 7 have been prepared to guide you through a plethora of questions given in the exemplar book. NCERT Exemplar Class 7 Maths will help you revisit every concept of the chapter and therefore, will help you build a strong base in this topic. There are 140 questions in the exercise solutions of this chapter.

This chapter includes crucial topics such as defining a variable for your questions and the formation of equations for the same. It also includes concepts like ratio and proportion, percentage and fractions, profit and loss and simple interest, all of which are meant to develop a strong aptitude towards the subject to guide you in higher classes. The questions range from objective type to long subjective answers from practical situations.

You will be able to complete your homework on time and prepare for your school exam quickly by referring to the solutions by Instasolv. The team at Instasolv has worked out the solutions for the NCERT Exemplar Maths Class 7 Chapter 7 on the basis of guidelines given by CBSE. You will get all the topics sorted once you refer to the detailed solutions written by the maths faculty at Instasolv.

## Important Topics for NCERT Exemplar Class 7 Maths Solution Chapter 7 – Comparing Quantities

**Introduction to Comparison Ratios:**

The units of the two quantities that are to be compared should be the same before making the comparison.

**Equivalence Ratios:**

To check the equivalence of two or more ratios, you must first write them in fractional form and then convert them into Like Fractions before making the comparison. If the values of these fractions happen to be equal, we term such ratios as equivalence ratios.

**Proportion:**

If the value of two sets of data is in proportion, it means that the two given ratios are equivalent.

**Unitary Method:**

In this method, we find the value of one unit using the previously given data and then obtain the value for the desired number of units by multiplying the number to the per-unit value in a given situation.

**Percentage:**

- The fractional numbers which have their denominators as 100 are known as Percentage. That is, a percentage is a one-hundredth fraction of a given quantity.
- When a fraction is not given with a denominator as 100 and you intend to find its percentage, you must convert it into an equivalent fraction with denominator 100.
- It is denoted by the symbol- ‘%’ and for instance, 1% would mean
- To convert a fraction into a percentage, multiply and divide it by 100.

**Profit and Loss **

- Selling Price (SP) is the price at which an object or a product is sold.
- Cost Price (CP) is the price of manufacturing borne by the manufacturer for a product.
- If SP>CPIt is called profit. Profit
- Similarly, if CP>SP, it is said to be a loss. Loss

**Simple Interest:**

If P: principal amount

R: rate of Interest

T: Time period

Then Interest is given as

And the Amount is given by the sum of Principal and Interest.

## Exercise Discussion of NCERT Exemplar Class 7 Maths Solutions Chapter 7

- Exercise questions 1 to 23 are multiple-choice questions which will need a thorough revision of all the formulae.
- Questions 24 to 57 comprises filling in the blanks exercises in a miscellaneous fashion.
- Questions 58 and 59 are basically designed to test your understanding of the number line.
- In the next section from question no 60 to 79, you will be required to check if the given mathematical conditions are true or false. You will also get some statement-based maths situations in this section.
- Questions from 80 to 140 contain all questions related to the topic and are arranged in the ascending order of difficulty.
- The NCERT Exemplar questions will help you to practice the concepts thoroughly.

## Why Use the NCERT Exemplar Class 7 Maths Solutions Chapter 7 by Instasolv?

- The expert team of Instasolv have prepared the answers of NCERT Exemplar Class 7 for maths chapter 7 compliant with the guidelines given by CBSE to prevent you from doubling the time taken to sort out any queries.
- The answers at Instasolv are designed in such a way that you will be able to study and practice simultaneously.
- We aim at easing the doubt solving procedure, therefore we have built an exclusive student-friendly interactive platform for you.