# The population of a city increased by 15% in a year. If the present population is 20700,find the population a year ago

**Given: **The population of a city increased by $15$ % in a year. If the present population is $20700$.

**To do: **To find the population a year ago.

**Solution:**

Let us take the population one year ago be $x$.

Then, the population after one year $=\frac{115x}{100}=20700$

$\Rightarrow \frac{115x}{100}=20700$

$\Rightarrow x=20700\times\frac{100}{115}$

$\Rightarrow x=18000$

Therefore the population one year was $18000$.

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