# Ex.8.1 Q3 Compairing Quantities - NCERT Maths Class 7

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## Question

Population of Rajasthan $$= 570$$ lakhs and population of $$\rm UP = 1660$$ lakhs. Area of Rajasthan $$= 3 \rm \,lakh\, km^2$$ and area of $${\rm UP} = 2\,\rm lakh\, km^2.$$

(i) How many people are there per  $$\rm km^2$$ in both these States?

(ii) Which state is less populated?

Video Solution
Comparing Quantities
Ex 8.1 | Question 3

## Text Solution

What is Known?

Area and population of Rajasthan and UP.

What is Unknown?

Number of people $$\rm per\, km^2$$ and which state is less populated.

Reasoning:

To solve this question, we will divide total population with total area to know how many people are there $$\rm per\, km^2$$

Steps:

(i) Rajasthan. Number of people $$\rm per\, km^2$$

\begin{align} &= \frac {{570,00,000}} {{3,00,000}}\\ &= 190 \end{align}

It means $$190$$  people are there in $$\rm per\, km^2$$ in Rajasthan

UP. Number of people $$\rm per\, km^2$$

\begin{align} &= \frac {{1660,00,000}} {{2,00,000}}\\ &= 830 \end{align}

It means $$830$$ people are there in $$\rm per\, km^2$$ in UP

(ii) Which State is less populated?

Rajasthan is less populated because in Rajasthan less people live in $$\rm per\, km^2$$ as compared to UP.

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