**NCERT** Solutions for Class 7 Maths Chapter 8 Comparing Quantities downloadable pdf is given below. If students want to score higher in Maths, it requires the right amount of practice for every topic. More marks can be achieved by referring to NCERT Solutions for Class 7 Maths by **Swiflearn**. Problems are solved step by step by Swiflearn experts with detailed explanations. The following are the concepts covered in this chapter for Class 7 Maths NCERT Solutions.

## NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities: EX 8.1 PDF

https://swiflearn.com/wp-content/uploads/2021/01/NCERT_7th_Maths_Chapter_8_Exercise_8.1-1.pdf

**Question 1:**

**Find the ratio of:**

**(a) Rs. 5 to 50 paise**

**(b) 15 kg to 210 g**

**(c) 9 m to 27 cm**

**(d) 30 days to 36 hours**

**Solution**:-

(a) Rs. 5 to 50 paise

As we know,

Rs. 1 = 100 paise

Then,

Rs. 5 = 5 × 100 = 500 paise

Calculating the ratio:

= 500/50

= 10/1

Ratio: 10: 1

(b) 15 kg to 210 g

As we know,

1 kg = 1000 g

Then,

15 kg = 15 × 1000 = 15000 g

Calculating the ratio:

=15000/210

=1500/21

=500/7

Ratio: 500: 7

(c) 9 m to 27 cm

As we know,

1 m = 100 cm

Then,

9 m = 9 × 100 = 900 cm

Calculating the ratio:

=900/27

=100/3

Ratio: 100: 3.

(d) 30 days to 36 hours

As we know,

1 day = 24 hours

Then,

30 days = 30 × 24 = 720 hours

Calculating the ratio:

=720/36

= 20/1

Ratio: 20: 1.

**Question 2:**

**In a computer lab, there are 3 computers for every 6 students. How many**

**computers will be needed for 24 students?**

**Solution**:-

According the question,

6 students require = 3 computers

So, 1 student will require = ( 3/6 ) computers = 1/2

Then, 24 students will require = 24 × 1/2

= 12 (∴Number of computer required)

**Question 3:**

**Population of Rajasthan = 570 lakhs**

**Population of UP = 1660 lakhs.**

**Area of Rajasthan = 3 lakh km2 and area of UP = 2 lakh km2 ****.**

**(i) How many people are there per km2**

**in both these States?**

**(ii) Which State is less populated?**

**Solution**:-

(i)

According the question,

In Rajasthan:

570 lakh = Population of Rajasthan

3 lakh Km2 = Area of Rajasthan

So, Population of Rajasthan in 1 km2

area = 570 𝑙𝑎𝑘ℎ/3 𝑙𝑎𝑘ℎ 𝑘𝑚2

That is = 190 people per km2

In UP:

1660 Lakh = Population of UP

2 Lakh km2 = Area of UP

So, population of UP in 1 lakh km2

area = 1660 𝑙𝑎𝑘ℎ/2 𝑙𝑎𝑘ℎ 𝑘𝑚2

That is = 830 people per km2

(ii)

Rajasthan is less populated.

## NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities: EX 8.2 PDF

https://swiflearn.com/wp-content/uploads/2021/01/NCERT_7th_Maths_Chapter_8_Exercise_8.2-1.pdf

## NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities: EX 8.3 PDF

https://swiflearn.com/wp-content/uploads/2021/01/NCERT_7th_Maths_Chapter_8_Exercise_8.3-1.pdf