Multiple choice

Rohan's salary was decreased by 70% and subsequently increased by 70%. How much percent did he lose?

  1. 49%

  2. 50%

  3. 25%

  4. 36%

  5. 45%
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A Correct answer
Explanation

Let the initial salary be 100. After a 70% decrease, it becomes 30. After a 70% increase on 30, it becomes 30 + (0.7 * 30) = 30 + 21 = 51. The total loss is 100 - 51 = 49%.

AI explanation

Using the successive percentage change formula for an equal percentage decrease and increase, the net loss percentage is (x squared) divided by 100. Substituting x with 70, we calculate 70 multiplied by 70 to get 4900, and dividing by 100 gives 49. He incurs a loss of 49%.

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