Question

The population of a town increases every year at the rate of 25 per thousand. The present population of the town is 262400. Find Population after 2 years.

Answer 1

The present population, $P_o=262400$
Rate of increase, $R=25$ per thousand$=\frac{25}{1000}\times 100=2.5\%$,
Period, $n=2$ years
Population after $2$ years is given by:
$P=P_o\times {(1+\frac{R}{100})}^n$
$P=262400\times {(1+\frac{2.5}{100})}^2$
$P=262400\times \frac{102.5}{100}\times \frac{102.5}{100}$
$P=275684$