**NCERT
Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.1**

NCERT
Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.1 are the part of NCERT Solutions for
Class 7 Maths. Here you can find the NCERT Solutions for Class 7 Maths Chapter
8 Comparing Quantities Ex 8.1.

**NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.1****NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2****NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.3**

**Ex 8.1 Class 7 Maths Question 1.**

Find the ratio of:(a) ₹ 5 to 50 paise

(b) 15 kg to 210 g

(c) 9 m to 27 cm

(d) 30 days to 36 hours

**Solution:
**(a) ₹ 5 to 50 paise

Let us convert the given quantities in the same units, we get

₹ 5 = 5 × 100 = 500 paise [∵ ₹ 1 = 100 paise]

∴ ₹ 5 : 50 paise = 500 paise : 50 paise

= 10 : 1

So, the required ratio is 10 : 1.

(b) 15 kg to 210 g

Let us convert the given quantities in the same units, we get

15 kg = 15 × 1000 = 15000 g [∵ 1 kg = 1000 g]

∴ 15 kg : 210 g = 15000 g : 210 g

= 1500 : 21

= 500 : 7

So, the required ratio is 500 : 7.

(c) 9 m to 27 cm

Let us convert the given quantities in the same units, we get

9 m = 9 × 100 = 900 cm [∵ 1 m = 100 cm]

∴ 9 m: 27 cm = 900 cm : 27 cm

= 100 : 3

So, the required ratio is 100 : 3.

(d) 30 days to 36 hours

Let us convert the given quantities in the same units, we get

30 days = 30 × 24 hours = 720 hours [ ∵ 1 day = 24 hours]

∴ 30 days : 36 hours = 720 hours : 36 hours = 20 : 1

So, the required ratio is 20 : 1.

**Ex 8.1 Class 7 Maths Question 2.**

In a computer lab, there are 3
computers for every 6 students. How many computers will be needed for 24
students?**Solution:****
**By using unitary method, we have

6 students require 3 computers.

∴ 1 student will require = 3/6 computers

∴ 24 students will require = 3/6 × 24 computers

= 3 × 4 computers = 12 computers

Hence, the number of computers required is 12.

**Ex 8.1 Class 7 Maths Question 3.**

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}.

(i) How many people are there per km

^{2}in both of these states?

(ii) Which state is less populated?

**Solution:****
**Given:

Population of Rajasthan = 570 lakhs

Population of UP = 1660 lakhs

Area of Rajasthan = 3 lakh km

^{2}

Area of UP = 2 lakh km

^{2}

(i) Number of people per km

^{2}of Rajasthan

= 570 lakhs ÷ 3 lakh km

^{2}

= 190 per km

^{2}

Number of people per km

^{2}of UP

= 1660 lakhs ÷ 2 lakh km

^{2}= 830 per km

^{2}

Since, 190 per km

^{2 }< 830 per km

^{2}

(ii) Rajasthan is the less populated state.

**You can also like these:**

**NCERT Solutions for Maths Class 8**

**NCERT Solutions for Maths Class 9**

**NCERT Solutions for Maths Class 10**

**NCERT Solutions for Maths Class 11**