Question

the present population of a town is 15625. if the population increases at the rate of 4% every year, what will be the increase in population in next 3 years?

Answer 1

Given:

Present population (P) = 15625  

Rate of increase (r) = 4% p.a.  

Period (n) = 3 years  

We know that:

Population after 3 years = $\sf{P(\frac{1+r}{100})^n}$

Substituting the values:

$\sf{= 15625(\frac{1+4}{100})^3}$

By further calculation:

$\tt{= 15625×\frac{26}{25}×\frac{26}{25}×\frac{26}{25}}$

= $\tt{17576}$

∴ the increase = $\tt{17576−15625=1951}$

${:⇒}$$\sf{1951~will~ be ~the ~increase ~in ~population ~in ~next~ 3~ years.}$