The population of a town increases by 8% annually.

Question:

The population of a town increases by 8% annually. If the present population is 54000, what was it a year ago?

Solution:

Let $x$ be the population of the town a year ago.

Then, present population $=108 \%$ of $x$

$=\left(x \times \frac{108}{100}\right)$

$=\frac{27 x}{25}$

Now, $\frac{27 x}{25}=54000$

$\Rightarrow x=\left(54000 \times \frac{25}{27}\right)$

$\Rightarrow x=50000$

Hence, the population of the town a year ago was 50000 .

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