Your colleague reports that they received an 8% raise, bringing their salary to $42,066. What was their original salary before the raise? Write only the numerical value to the nearest one dollar and you may omit the units of $.
Question
Your colleague reports that they received an 8% raise, bringing their salary to .
Solution
To find the original salary before the raise, you need to understand that the new salary ($42,066) is 108% of the original salary because of the 8% raise.
So, to find the original salary, you can set up the equation:
1.08 * Original Salary = $42,066
Then, to solve for the original salary, you divide both sides of the equation by 1.08:
Original Salary = $42,066 / 1.08
When you do the division, you get the original salary to be approximately $38,940.
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