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Question : If the price of a book first increased by 18% and then decreased by 18%. What is the net change in the price of the book?

Option 1: 18% increase

Option 2: 3.24% decrease

Option 3: No change

Option 4: 18% decrease


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 3.24% decrease


Solution : Increase in percentage = 18%
Decrease in percentage = 18%
We know that,
If the increase and decrease percentage is the same, the overall percentage decreases by $\frac{x^2}{100}$, where $x$ is the percentage increase and decrease.
= $\frac{x^2}{100}$
= $\frac{18\times18}{100}$
= $\frac{324}{100}$
= 3.24% (decrease)
Hence, the correct answer is a 3.24% decrease.

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