# 2    Find the population of a city after 2 years, which is at present 12 lakh, if the rate of increase is 4%.

Current population of city

= 12 lakh

1200000

Population after two years =

$P\left ( 1+\frac{R}{100} \right )^{n}$

$= 1200000\left ( 1+\frac{4}{100} \right )^{2}$

$= 1200000\left ( 1+0.04 \right )^{2}$

$= 1200000\left ( 1.04 \right )^{2}$

$= 1200000\times 1.0816$

$= 1297920$

Thus, the  population after two years is 1297920.

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