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The annual rate of growth in population of a certain city is 8%. If its present population is 196830, what it was 3 years ago?

1 Answer

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Given, 

Annual growth rate of population of city = 8% 

Present population of city = 196830 

Let population of city 3 years ago was = X 

So,

\(=x({1}+\frac{8}{100})({1}+\frac{8}{100})({1}+\frac{8}{100})\) = 196830

\(x\times\frac{27}{25}\times\frac{27}{25}\times\frac{27}{25}\) = 196830

\(= x =\frac{196830 \times 25 \times 25 \times 25}{27 \times 27 \times27}\) = 156250

Hence, 

Population of city 3 years ago was = 156250.

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