A number is increased by 30% and then decreased by 30%, the final value of the number is ?

A number is increased by 30% and then decreased by 30%, the final value of the number is ?

Quiz

Answer/Solution

decreases by 9%

Steps/Work

Here, x = 30 and y = - 30
Therefore, the net % change in value
= ( x + y + xy/100)%
= [30 - 30 + (30 * -30)/100]% or - 9%
Since the sign is negative, there is a decrease in value by 9%.
ANSWER: B