Question

The salary of an officer is increased by $20\%$. By what percentage should the new salary be reduced to restore the original salary?

Answer 1

Let the original salary be $Rs.100$.
Increase in it $=20\%$
Salary after increment $=Rs.(100+20)=Rs.120$
To restore the original salary, reduction required $=Rs.(120-100)=Rs.20$
Reduction on $Rs.120=Rs.20$
∴ Reduction percentage $=\frac{20}{120}\times 100$
$=\frac{100}{6}$
$=\frac{50}{3}$
$=16\frac{2}{3}$
Hence, the required reduction on the new salary is $16\frac{2}{3}\%$.