Question

# The monthly income of a person is$Rs\text{ 5000}$. If his income is increased by $30%$, then what is his monthly income now?A) $Rs\text{ 7000}$B) $Rs\text{ 5500}$C) $Rs\text{ 4500}$D) $Rs\text{ 6500}$

Hint: Here we use the concept of percentages.
$x\%\text{ }more\text{ } than \text{ }y=y\dfrac{(100+x)}{100}$
We need to find out monthly income after increment from the given information.

According to the question, given income is $Rs\text{ 5000}$. Income is increased by $30%$.
Substituting $x=30$ and $y=5000$ in the above formula which is mentioned in the hint, we get
\begin{align} & 30\%\text{ }more\text{ }\,than\text{ 5000}=5000\dfrac{(100+30)}{100} \\ & \text{ }=\dfrac{5000\times 130}{100} \\ & \text{ }=6500 \\ & \\ \end{align}
Hence new Income is $Rs\text{ }6500$
Note: Sometimes if the question is $x%\text{ }less\text{ } than \text{ y}$ we can use the formula $y\dfrac{(100-x)}{100}$.