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 .