Question

It is observed that the population of a city increase at the rate of $8\%$ per annum. If the present population of the city is $125000$, then the population of the city after $2$ years will be

• A. $145000$
• B. $145800$
• C. $154000$
• D. $154800$

Answer 1

Answer: (B)

$145800$

The original population $=$ Rs. $12500$.

It increases at the rate $=8\%$, time $=2$ yrs.

We know that,

Final population $=$ (original population) ${(1+\frac{Rate}{100})}^{time}$

$=12500{(1+\frac{8}{100})}^2$

$=12500\times \frac{27}{25}\times \frac{27}{25}$

$=145800$

So, the population will be $145800$ in $2$ years.

Ans- Option B.