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
If the salary of an employee is first increased by 20% and then decreased by 12%, what is the change in his salary in percent?
Solution
Sure, let's solve this step by step:
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Let's assume the initial salary of the employee is 100 makes the calculations easier).
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If the salary is increased by 20%, it becomes 100 + 20% of $100).
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Now, if this increased salary is decreased by 12%, we subtract 12% of 120. That is 120 = 14.4 = $105.6.
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So, the final salary of the employee is $105.6.
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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, ((100) / $100) * 100 = 5.6%.
So, the salary of the employee has effectively increased by 5.6%.
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