Question

The population of a village increases by $9$% every year which is due to the job opportunities available in that village. If the present population of the village is $11,881$, what was the population two years ago?

Answer 1

Present Population (A) $=11881$

Let population two years back be $P$

$Rate\left(R\right)=9$

$Time\left(T\right)=2$ years

$A=P(1+\frac{R}{100}{)}^T$

$11881=P(1+\frac{9}{100}{)}^2$

$P=11881\times (\frac{100}{109}{)}^2$

$P=10000$

$\therefore$ Population two years back was $10,000$