Question

salary of an employee is increased by 40% by what percent should the new salary be reduced to restore the original salary​

Answer 1

Answer:

Let's consider the salary of the officer =100

So, if the salary is increased by 40% then new

salary

$= 100 + \frac{40}{100} \times 100 \\ = 100 + 40 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ =140 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

So, his new salary is 140

To make his salary original 40 must be subtracted from 138, then his salary will be 100 or original salary

So,

% decrease

$= \frac{40}{140} \times 100 \\ \: \: \: \: \: \: = 28.5714286\%$

Hence 40% of his new salary must be deducted so that his salary becomes original salary.