Question

Population of Rajasthan = 570 lakhs and population of U.P=1660 lakhs. Area of Rajasthan 3 lakh \[k{{m}^{2}}\] and area of U.P = 2 lakh \[k{{m}^{2}}\]
(I). How many people are there per \[k{{m}^{2}}\] in both states?
(II). Which state is less populated?

Answer 1

In the above question we will use the formula for people per \[k{{m}^{2}}\]=\[\dfrac{population}{area}\].

Complete step-by-step solution -
Now , in Rajasthan we have population = 570 lakhs and area = 3 lakh \[k{{m}^{2}}\]
\[\Rightarrow ratio=\dfrac{570}{3k{{m}^{2}}}={}^{190}/{}_{k{{m}^{2}}}\]
So, there are 190 people per \[k{{m}^{2}}\]in Rajasthan.
Again. In U.P we have population = 1660 lakhs and area = 2 lakh \[k{{m}^{2}}\]
$\Rightarrow ratio=\dfrac{1660}{2k{{m}^{2}}}={}^{840}/{}_{k{{m}^{2}}}$
So, there are 840 people per \[k{{m}^{2}}\]in U.P.
Clearly, we can see that there are 190 people per \[k{{m}^{2}}\]in Rajasthan and 840 people per \[k{{m}^{2}}\]in U.P.
It is clear that Rajasthan is less populated.
Therefore, the population of Rajasthan and U.P are 190 and 840 people per \[k{{m}^{2}}\] and Rajasthan is a less populated state.

NOTE: Just remember the formula and be careful while calculating because there is a chance that you might make silly mistakes and thus you will get the incorrect answer. Basically , the given type of question is a unitary type of question , you can solve it through unitary method too.