Question

A number increased by $22\frac{1}{2}$ % gives 98 . Find the number.

Answer 1

Let the number be $a$

$\therefore 22.5\%ofa=\left(\frac{22.5}{100}\right)\times a$

$\Rightarrow a+\left(\frac{22.5}{100}\right)\times a=98$

$\Rightarrow a+0.225a=98$

$\Rightarrow 1.225a=98$

$\Rightarrow a=\frac{98}{1.225}=80$

$\Rightarrow a=80$