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The population of a town increases at the rate of 10% per annum. If the present population of town is 12100, then what was the population 2 years ago?

The population of a town increases at the rate of 10% per annum. If the present population of town is 12100, then what was the population 2 years ago? Correct Answer 10000

Given:

Population growth rate of the town per annum = 10%

Present population of the town = 12100

Calculation:

Let the population of the town 2 years ago be x.

Population of the town 1 year ago = x + (10% of x) = 1.1x

Present population of the town = 1.1x + (10% of 1.1x) = 1.21x

⇒ 12100 = 1.21x

⇒ x = 12100/1.21 = 10000

∴ Population of the town 2 years ago = 10000

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