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%

∴ New number = 100 + 10 = 110

Increased by 20%

∴ Net increase = `(110 xx 20)/(100)` = 22

∴ New number = 110 + 22 = 132

Overall change = 132 - 100 = 32 (increase)

∴ Increase %

= `(32)/(100) xx 100` = 32%