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

## 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?

## 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.