Question : A number is increased by 20% and then decreased by 20%. What is the net percent change in the number?
Option 1: 4% increase
Option 2: 4% decrease
Option 3: 5% increase
Option 4: 5% decrease
Correct Answer: 4% decrease
Solution :
For successive percentage change use the following formula,
$=x+y+\frac{xy}{100}$
Given that, $x$ = 20% and $y$ = –20%
Net percent change = 20% – 20% – $\frac{20×20}{100}$ = – 4%
Hence, the correct answer is '4% decrease'.
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