Question

The salary of an officer has been increased by 50%. By what percent must be reduced to restore 10% of the original salary

Answer 1

Let the salary of an officer be Rs x
50% increase in salary = (50/100)x = (x/2)
New salary = Rs x + Rs (x/2) = Rs (3x/2)
To reduce the new salary to the 10% of original salary, change in salary = 3x/2 - (x * 10/100)
= 3x/2 - x/10
= 7x/5
^{Percentage decrease}

Hence the new salary must be reduced by 93.33%.