Question

Due to migration to cities, the population of a town decreases every year by $10\%$. If the present population of the town is $14600$, find the population two years hence.

Answer 1

Given, $P=14600,r=10\%,n=2$ years
We know, $A=P\left[{(1-\frac{r}{100})}^n\right]$

$\Rightarrow A=14600\left[{(1-\frac{10}{100})}^2\right]$
$\Rightarrow A=11826$
Hence, the population of the town $2$ years hence is $11826$.