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Select the correct answerIf 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?Options5.6% increase5% decrease10 % increase7% increase

Question

Select the correct answerIf 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?Options5.6% increase5% decrease10 % increase7% increase

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Solution

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 120isdecreasedby12120 is decreased by 12%, we subtract 12% of 120 from 120.Thatis120. That is 120 - 12% of 120=120 = 120 - 14.4=14.4 = 105.6.

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

  5. The change in salary from the initial amount is 105.6105.6 - 100 = $5.6.

  6. To express this change as a percentage of the initial salary, we divide the change by the initial salary and multiply by 100. That is (5.6/5.6 / 100) * 100 = 5.6%.

So, the correct answer is 5.6% increase.

This problem has been solved

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