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The population of a town increases at the rate of 50 per thousand. Its population after 2 years will be 22050. Find its present population.

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Best answer

Given, 

Growth rate of population of town = \(\frac{50}{1000}\times100\) = 5%

Population after 2 years = 22050 

Let present population of town = X 

So,

\(x\times({1}+\frac{5}{100})({1}+\frac{5}{100})\) = 22050

\(x\times\frac{21}{20}\times\frac{21}{20}\) = 22050

\(=x=\frac{22050 \times 20 \times 20}{441}\) = 20000

Hence, 

Present population of town = 20000

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