Question

The salary of a man is increased from Rs 600 per month to Rs 850 per month. Express the increase in salary as percent.

Answer 1

Hint: As we know that the original salary of a man is Rs 600 per month and the increased salary is given as Rs 850 per month. We need to find the % increase in the salary. So, firstly find the increase in salary and divide the amount by original salary. Multiply the amount to 100 to get the % increase in salary.

Complete step-by-step answer:
As we know that:
Original salary of a man is Rs 600
Final salary of a man is Rs 850
So, the amount of increased salary is: Final salary – Original salary;
$\begin{align}
  & \Rightarrow 850-600 \\
 & \Rightarrow Rs250 \\
\end{align}$
Now, we need to find the % increase in salary.
By using the formula: $\%increase=\dfrac{increase\text{ }in\text{ }salary}{original\text{ }salary}\times 100$
We get:
$\begin{align}
  & \%increase=\dfrac{250}{600}\times 100 \\
 & =\dfrac{25}{6} \\
 & =41.67\%
\end{align}$
Hence, the percent increase in salary of the man is 41.67%

Note: Students must apply the formula correctly. They might use final salary instead of original salary while calculating the % increase in the salary, i.e.
$\%increase=\dfrac{increase\text{ }in\text{ }salary}{final\text{ }salary}\times 100$ . This is the wrong method to solve % increase in any quantity. Always remember that the original amount of any quantity is required to be there in denominator instead of final amount.
Also, we need to find the change in salary first and then use the formula. But some might directly put the value of increased salary, i.e. final salary in the formula which ultimately leads to the wrong answer. So, identify the correct amount and then use the formula.