#### The present population of a town is 200000. Its population increases by 10% in the first year and 15% in the second year. Find the population of the town at the end of two years.

**Solution:**

We know that

Population after 2 years = Present population × (1 + r/100)^{n}

Here the present population = 200000

Population after first year = 200000 × (1 + 10/100)^{1}

By further calculation

= 200000 × 11/10

= 220000

Population after two years = 220000 × (1 + 15/100)^{1}

By further calculation

= 220000 × 23/20

= 253000

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