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A person’s salary is first reduced by 30% and then increased by 40%. What is the overall percentage decrease in his salary?
Question

A person’s salary is first reduced by 30% and then increased by 40%. What is the overall percentage decrease in his salary?

A.

1%

B.

3%

C.

5%

D.

2%

Correct option is D

Given
First change = -30%
Second change = +40%
Formula Used
Net percentage change = x+y+xy100x + y + \frac{xy}{100}​​
Solution
Change = −30+40+−30×40100-30 + 40 + \frac{-30 \times 40}{100}​​
Change = 10−120010010 - \frac{1200}{100}​​
Change = 10 - 12 = -2%
The overall percentage decrease is 2%.
Final Answer
So the correct answer is (d)

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