Successive Percentage Increase and Decrease of 30%

Question of The Day31-10-2022

If the number is first decreased by 30% and then increased by 30%, then what is the overall percentage increase/decrease in the number?

Answer

Correct Answer : c ) 9% decrease

Explanation :

According to the question

Let the number be 100

The number is first decreased by 30%

The number becomes = 100 - 30 * 100/100 = 70

The number is increased by 30%.

The number becomes = 70 + 30% of 70

⇒ 70 + 30 * 70/100 = 91

Overall decrease = 100 – 91

⇒ 9

Overall Percentage decrease = (100-9) * 100/100

⇒ 9% decrease

Hence, (c) is the correct answer.

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