Question

The population of a city is $250$ thousand. It is increasing at the rate of $2\%$ every year. The growth in the population after $2$ years is:

• A. $2500$
• B. $10000$
• C. $252000$
• D. $10100$

Answer 1

The correct option is D $10100$

Present population = $250000$
Rate at which it is increasing = $2\%$
T = $2$ years
After $2$ year population will be
= $250000[1+\frac{2}{100}{]}^2$
= $250000\times \frac{102}{100}\times \frac{102}{100}$
= $2,60,100$
increase in population = $260100-250000=10100$