Question

Ramesh's salary is getting reduced by 20%. What percentage should be added to get back his original salary?

Answer 1

Let the original salary is x
then we find the 20%of x
then x - x/5=4x/5
now, 4x/5+y=x
y =x/5
therefore (x/5) / (4x/5) ×100=25%

the percentage is 25%

Answer 2

Answer:

25% should be added to get back his original salary.

Step-by-step explanation:

Given : Ramesh's salary is getting reduced by 20%.

To Find : What percentage should be added to get back his original salary?

Solution:

Let the original salary be x

Now we are given that  Ramesh's salary is getting reduced by 20%.

So, New Salary = $x-20\% \times x = x-\frac{20}{100}x=\frac{80}{100}x=\frac{4}{5}x$

Let y be the amount need to be added to new salary to obtain original salary

$\Rightarrow \frac{4}{5}x+y=x$

$y=x-\frac{4}{5}x$

$y=\frac{1}{5}x$

So, Percent should be added to get back his original salary:

= $\frac{\frac{1}{5}x}{\frac{4}{5}x} \times 100$

= $\frac{\frac{1}{5}}{\frac{4}{5}} \times 100$

= $25\%$

Hence 25% should be added to get back his original salary.