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A sales clerk received an increase in his annual salary. After the increase, his new salary is $34,859.77. If he received a 9% raise, what was his old salary? His old salary was

User Paolo Raez
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Final answer:

The old salary of the sales clerk before the 9% raise was $31,976.85. This was calculated by dividing the new salary by 1.09 since the new salary represents 109% of the old salary.

Step-by-step explanation:

To calculate the old salary of the sales clerk before the 9% raise, we first need to recognize that the new salary represents 109% of the old salary. This is because the old salary (100%) plus the 9% increase makes 109%. So the new salary of $34,859.77 is 109% of the old salary. To find the original salary, we need to use the following formula:

Old Salary = New Salary / (1 + Percentage Raise)

In this case:

  • Old Salary = $34,859.77 / 1.09
  • Old Salary = $31,976.85 (rounded to two decimal places)

Therefore, the clerk's old salary was $31,976.85.

User Rodrigo Deodoro
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