Question

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

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Answer 1

Step-by-step explanation:

Present Population,P = 12 lakh

Rate of increase,R = 4%p.a.

Time,T= 2years

therefore n= 2

Population after 2 years

$= p(1 + \frac{r}{100}) {}^{n}$

$= 12lakh(1 + \frac{4}{100} ) {}^{2} \\ = 12lakh( \frac{26}{25} ) {}^{2} \\ = 1200000 \times \frac{26}{25} \times \frac{26}{25} \\ = 1920 \times 26 \times 26 = 1297920$

Thus the population of town will be 1297290 in 2 years.