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The population of a town increases at the rate of 40 per thousand annually. If the present population be175760, what was the population three years ago.

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156250.

158730.

193750.

182150.

answer is A.

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Detailed Solution

Given,
Present population of a town =175760
Rate of growth of population, R=40 per thousand
That is,

R = 401000 × 100 % ⇒ R = 4 %

Number of years, n=3
If P is the population of a city three years ago and R% its constant growth rate per annum, we use the following formula to calculate the population after n years:

175760 = P 1 + R 100 n

⇒ 175760 = P 1 + R 100 3 ⇒ 175760 = P 1 + 401000 3 ⇒ 175760 = P 1.04 3 ⇒ P = 175760 1.124864 ⇒ P = 156250

Therefore, the population of a town three years ago was 156250.
Hence, the correct option is 1.

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