Question : A number is increased by 30% and then the increased number is decreased by 30%. The net increase or decrease is:
Option 1: 12% increase
Option 2: 9% decrease
Option 3: 15% decrease
Option 4: 30% increase
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Correct Answer: 9% decrease
Solution : Let the number be 100. ⇒ Number after 30% increase = 100 + 30% of 100 = 130 ⇒ Number after 30% decrease = 130 – 30% of 130 = 91 So, overall change in the number = 100 – 91 = 9 $\therefore$ Decrease percentage = $\frac{9}{100}$ × 100 = 9% Hence, the correct answer is a 9% decrease.
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