The population of a town increases at the rate of 40 per thousand annually.

Question:

The population of a town increases at the rate of 40 per thousand annually. If the present population be 175760, what was the population three years ago.

Solution:

Population after three years $=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{3}$

$175,760=\mathrm{P}\left(1+\frac{40}{1000}\right)^{3}$

$175,760=\mathrm{P}(1.04)^{3}$

$\mathrm{P}=\frac{175,760}{1.124864}$

$=156,250$

Thus, the population three years ago was 156,250 .

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