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The Present Population of the Town is 2,00,000. the Population is Increased by 10% in the First Year and 15% in the Second Year. Find the Population of the Town at the End of Two Years.

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Question

The present population of the town is 2,00,000. The population is increased by 10% in the first year and 15% in the second year. Find the population of the town at the end of two years.

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Solution

Population after n years = Present population x `(1 + r/100)^n`

Present population = 2,00,000

After first year, population = = 2,00,000 xx `(1 + 10/100)^1`

`= 2,00,000 xx 11/10`

= 2,20,000

Population after two years = 2,20,000 `xx (1 + 15/100)^1`

= 253000

Thus, the population after two years is 2,53,000.

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Concept of Compound Interest - Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
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2014-2015 (March)

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