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John's salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss?

Question

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Solution

Let's assume John's initial salary was $100.

  1. After a decrease of 50%, his salary becomes 50(because5050 (because 50% of 100 is 50,and50, and 100 - 50=50 = 50).

  2. Then, his salary is increased by 50%. However, this increase is not based on his initial salary, but on his current salary of 50.So,5050. So, 50% of 50 is $25.

  3. Therefore, after the increase, his salary becomes 75(because75 (because 50 + 25=25 = 75).

  4. To find out the percentage loss, we need to compare his final salary (75)withhisinitialsalary(75) with his initial salary (100). The difference between these two amounts is $25.

  5. To express this difference as a percentage, we divide it by the initial salary and multiply by 100. So, the percentage loss is (25/25 / 100) * 100 = 25%.

So, John has a loss of 25% of his initial salary.

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