Question

Increase of a number from $150$ to $162$ is equal to increase of ____ per cent.

Answer 1

Calculate the increase in percentage.

Increase of a number from $150$ to $162$ is $162-150=12$.

Percentage increase of number is $\frac{\mathrm{Change}\mathrm{in}\mathrm{number}}{\mathrm{Original}\mathrm{number}}\times 100$

$$\begin{gathered} =\frac{162-150}{150}\times 100 \\ =\frac{12}{150}\times 100 \\ =8\% \end{gathered}$$

Hence, increase of a number from $150$ to $162$ is equal to increase of $8\%$ .