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If the salary of an employee is first increased by 20% and the decreased by 12%, then what is the change in his salary in percent?

Question

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Solution

Sure, let's solve this step by step:

  1. Let's assume the initial salary of the employee is 100(youcanchooseanyamount,but100 (you can choose any amount, but 100 makes the calculations easier).

  2. If the salary is increased by 20%, it becomes 120(120 (100 + 20% of $100).

  3. Now, if this increased salary is decreased by 12%, we subtract 12% of 120from120 from 120. That is 12012120 - 12% of 120 = 120120 - 14.4 = $105.6.

  4. So, the final salary of the employee is $105.6.

  5. To find the percentage change in the salary, we subtract the initial salary from the final salary, divide by the initial salary, and then multiply by 100. That is, ((105.6105.6 - 100) / $100) * 100 = 5.6%.

So, the salary of the employee has effectively increased by 5.6%.

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