Question

The salary of a man which was $ Rs\,500 $ earlier increases to $ Rs\,600 $ . What is the percentage change in the salary?

Answer 1

Hint: In this question we have been given the original salary of a man and the increased salary. We need to find the $ \% $ increase in the salary. So firstly we will find the increase in the salary and then divide the amount by the original salary. After that we will multiply the amount by $ 100 $ to get the $ \% $ increase in the salary.

Complete step-by-step answer:
As we know that the original salary of the man is
$ Rs\,500 $
And the new increased salary is
$ Rs\,600 $ .
So the amount of the increase in salary is:
 Final salary $ - $ Original salary
We can write this as
 $ 600 - 500 = 100 $
We will use the formula
 $ \% \,increase = \dfrac{{incrase\,in\,salary}}{{original\,salary}} \times 100 $
By putting the values in the formula we have:
 $ \dfrac{{100}}{{500}} \times 100 $
On simplifying it gives us
 $ 20\% $ .
Hence the percentage increase in salary is $ 20\% $ .
So, the correct answer is “ $ 20\% $ ”.

Note: We can also solve this question in an alternate method.
 We know the difference between initial and final salary is
 $ 100 $ .
Now let us assume that the percentage changed be
 $ x\% $ .
We can say that the increased percentage is of the original salary.
We can write the equation as :
 $ 100 = x\% \, $ of $ 500 $
It can be written as
  $ 100 = \dfrac{x}{{100}} \times 500 $
On simplifying it gives
 $ 100 = 5x $
So it gives us
 $ x = \dfrac{{100}}{5} = 20 $
Therefore the answer is
  $ x\% = 20\% $