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The population of a village is 10000. If the population increases by 10% in the first year, by 20% in the second year, and due to mass exodus, it decreases by 5% in the third year, what will be its population after 3 years?

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10,540

11,540

12,540

13,540

answer is C.

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Detailed Solution

We are given that population of a village is 10000 and it increases by 10% in first year then by 20% in next year and then decreases by 5%.
We need to find the population after 3 years.
Population after 3 years

= 10000 (1 + \frac{10}{100}) (1 + \frac{20}{100}) (1 - \frac{5}{100})

\Rightarrow

Population after 3 years

= 10000 \times \frac{11}{10} \times \frac{6}{5} \times \frac{19}{20}

\Rightarrow

Population after 3 years

= 12540

So, population after 3 years in 12540.
Hence, the correct option is 3.

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