The population of Krosur village in 2012 is 6250. If it increases at rate of 8% then the population of the village in 2014 is ……………… 

A) 7920 

B) 7190 

C) 7490 

D) 7290


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Correct option is  D) 7290

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Correct option is (D) 7290

Population of village after 2 years (in 2014)

\(=P(1+\frac R{100})^n\)

\(=6250(1+\frac8{100})^2\)   \((\because\) P = 6250, R = 8% and n = 2)

\(=6250(1+\frac2{25})^2\)

\(=6250\times\frac{27^2}{25^2}\)

\(=729\times10=7290\)