Question

The population of a state in 2011 census was 1.2 crore. If it is estimated that the population increases by 2.25% by every year, what will be the population in 2014?

Answer 1

Given present population = 1.2 crore, R = 2.25%, we have to find population after n = 3 years.
Population after 3 years = Present population $\times {(1+\frac{R}{100})}^n$
$=1.2\times {(1+\frac{2.25}{100})}^{3}1.2(1+0.0225{)}^3=1.2\times (1.0225{)}^3\approx 1.28$ crore (estimated to 2 decimal places.)
Therefore, population after 3 years is 1.28 crore.