Question

The present population of a town is $5000$. If the population decreases at the rate of $10\%$ per year, the population after $2$ years will be

• A. $4820$
• B. $4050$
• C. $4980$
• D. $4500$

Answer 1

The correct option is B $4050$

Present population, $P_o=5000$
Rate $=10\%$
Time $=2$ years
Let after $2$ years population $=P$
Thus, $P=P_o(1-\frac{R}{100}{)}^T$
$P=5000(1-\frac{10}{100}{)}^2$
$P=4050$
Thus after two years the population will be $4050$