A District contains 64000 inhabitants. If the population increases at the rate of 2.5 or 5/2 % per annum ,find the number of inhabitants at the end of 3 years.

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Solution:

⇨Given
⇨p=64000
⇨r=2.5 %
⇨n=3
⇨The number of inhabitants at the end of 3 years

$\large A=p\left ( 1+\frac{r}{100} \right )^{n}$

$\large \Rightarrow A=64000\left ( 1+\frac{2.5}{100} \right )^{3}$

$\large \Rightarrow A=64000\left (\frac{100+2.5}{100} \right )^{3}$

$\large \Rightarrow A=64000\left (\frac{102.5}{100} \right )^{3}$

$\large \Rightarrow A=64000\times \frac{1076890.625}{1000000}$

$\large \Rightarrow A=64\times \frac{1076890.625}{1000}$

$\large \Rightarrow A=64\times 1076.890625$

$\large \Rightarrow A=68921$ Rs

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