# NCERT Solutions for Class 7 Maths Chapter 8

NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Exercise 8.1, Exercise 8.2 and Exercise 8.3 in English Medium or Prashnavali 8.1, Prashnavali 8.2 and Prashnavali 8.3

3 in Hindi Medium to study online or download in PDF file format. Solutions are updated according to new CBSE Syllabus 2020-21. Questions are taken from the NCERT Books 2020-2021 released for new academic session.

## NCERT Solutions for Class 7 Maths Chapter 8

 Class: 7 Maths (English and Hindi Medium) Chapter 8: Comparing Quantities

### 7 Maths Chapter 8 Solutions

Class 7 Maths Chapter 8 Exercise 8.1, 8.2 and Ex. 8.3 of Comparing Quantities with complete description of each question are given below. NCERT Solutions are updated for the new session 2020-21.

• ### 7 Maths Chapter 8 All Exercises in Hindi Medium

#### Class 7 Maths Exercise 8.1 and Exercise 8.2 Solution in Video

Class 7 Maths Exercise 8.1 Solution in Video
Class 7 Maths Exercise 8.2 Solution in Video

#### About NCERT Solutions for Class 7 Maths Chapter 8

In 7 Maths Chapter 8 Comparing Quantities, we will study actually ratio and proportions in practical life. Some time we need to convert numbers into percentage. Percentages are numerators of fractions with denominator 100. Per cent is derived from Latin word ‘per centum’ meaning ‘per hundred’. Percentage when the total does not add to give 100. In the case, we multiply the fraction by 100/100. This does not change the value of the fraction. Subsequently, only 100 remains in the denominator. In this chapter we practice the questions based on –
1. Converting fraction into percent and vice versa.
2. Converting decimal into percent and vice versa.
3. Converting ratio into percent and percent into ratio also.
On the basis of percent, we can find the increase percent or decrease percent in any commodity to check the increase the cost percentage. The concepts of Cost price, Selling Price, Discount, Profit, Loss, etc. are based on the application of percentage. Simple Interest and Compound Interest are also the application in percentage.
1. The increase or decrease in a certain quantity can also be expressed as percentage.
2. When parts of a quantity are given to us as ratios, we have seen how to convert them to percentages.

### Important Questions on Class 7 Maths Chapter 8

Find the ratio of ₹5 to 50 paise.
₹5 to 50 paise
5 x 100 paise to 50 paise
[₹ 1 = 100 paise]
500 paise to 50 paise
Thus, the ratio = 500/50 = 10 : 1
एक नगर में 30% महिलाएँ, 40% पुरुष तथा शेष बच्चे हैं। बच्चों का प्रतिशत कितना है?
दिया है: महिलाओं का प्रतिशत = 30%
पुरुषों का प्रतिशत = 40%
महिलाओं तथा पुरुषों का कुल प्रतिशत योग
= 30 + 40
= 70%
इसलिए,
बच्चों का प्रतिशत
= कुल प्रतिशत – महिलाओं तथा पुरुषों का प्रतिशत
= 100% – 70% = 30%
अतः, बच्चों का प्रतिशत 30 है।
I buy a T.V. for ₹10,000 and sell it at a profit of 20%. How much money do I get for it?
The cost price of T.V. = ₹ 10,000
Profit percent = 20%
Now, Profit = Profit% of C.P.
= 20/100 x 1000 = ₹ 2,000
Selling price = C.P. + Profit = ₹10,000 + ₹2,000 = ₹ 12,000
Hence, he gets ₹12,000 on selling his T.V.
एक नगर की जनसंख्या 25,000 से घटकर 24,500 रह गई। घटने का प्रतिशत ज्ञात कीजिए।
दिया है: नगर की जनसंख्या 25,000 से घटकर 24,500 रह गई।
जनसंख्या में कमी = 25,000 – 24,500 = 500
जनसंख्या में प्रतिशत कमी = (जनसंख्या में कमी )/(मूल जनसंख्या )×100 = 500/25000 x 100 = 2%
अतः, जनसंख्या 2% घट गई है।                      