Question

Find the number when increased by $20\%$ becomes $72?$

Answer 1

Let the number be $\mathrm{x}$.

STEP 1: First calculate the $20\%$ of the $\mathrm{x}$

$20\%$ of the $\mathrm{x}$$=$$\frac{20}{100}\times \mathrm{x}$

$=\frac{\mathrm{x}}{5}$

STEP 2: Now add $\frac{\mathrm{x}}{5}$ into $\mathrm{x}$ put equal to $72$

According to question

$$\begin{gathered} \mathrm{x}+\frac{\mathrm{x}}{5}=72 \\ \frac{6\mathrm{x}}{5}=72 \\ 6\mathrm{x}=72\times 5 \\ \mathrm{x}=\frac{72\times 5}{6} \\ \mathrm{x}=60 \end{gathered}$$

Hence, the number is $60$.