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

Explanation

Let the salary of an officer be Rs `x`
`50% `increase in salary=`(50/100)x`
= `(x/2)`
New salary=`x+(x/2)`
=`frac{3x}{2}`
To reduce the new salary to the `10%` of the original salary,
change in salary=`frac{3x}{2} - (10x)/100`
=`frac{3x}{2} - x/10`
=`frac{7x}{5}`
% decrease=`frac{7x}{5}/frac{3x}{2}xx100`
=`frac{7x}{5}xxfrac{2}{3x}xx100`
=`14/15xx100`
=`93.33`%