Question:
The population of a town increases by 10% annually. If the present population is 22000, find its population a year ago.
Solution:
Let the population of the town one year ago $=x$
Now, it is given that population of the town increases by $10 \%$ annually.
Present population $=x+10 \%$ of $x$
$=x+\frac{10}{100} \times x$
$=x+\frac{x}{10}$
$=\frac{11 x}{10}$
But present population of the town $=22000$
So, $\frac{11 x}{10}=22000$
$\Rightarrow 11 x=220000$
$\Rightarrow x=\frac{220000}{11}$
$\Rightarrow x=20000$
So, population of the town 1 year ago $=20000$