Question

A number is increased by 10% and the resulting number is again increased by 20%. What is the overall percentage increase in the number ?

Answer 1

Let the number be = 100
Increased by 10 %
$\therefore$ New number = 100 + 10 = 110
Increased by 20%
$\therefore$ Net increase = $\frac{110\times 20}{100}$ = 22
$\therefore$ New number = 110+22 = 132
Overall change = 132-100 = 32 (increase)
$\therefore$ Increase % =$\frac{32}{100}\times$ 100 = 32 %