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Sandy will get $4275 more if her salary is increased by 25%. Sandy's salary is 5% less than her colleague Sonia's salary. What is Sonia's salary?

Question

Sandy will get $4275 more if her salary is increased by 25%. Sandy's salary is 5% less than her colleague Sonia's salary. What is Sonia's salary?

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Solution

Step 1: First, we need to find out Sandy's original salary. If her salary increased by 25% and she got 4275more,wecansetuptheequation0.25x=4275,wherexisSandysoriginalsalary.Solvingforx,wegetx=4275/0.25=4275 more, we can set up the equation 0.25x = 4275, where x is Sandy's original salary. Solving for x, we get x = 4275 / 0.25 = 17100.

Step 2: Now, we know that Sandy's salary is 5% less than Sonia's salary. So, Sonia's salary is 5% more than Sandy's salary. We can set up the equation y = 1.05 * 17100, where y is Sonia's salary. Solving for y, we get y = 1.05 * 17100 = $17955.

So, Sonia's salary is $17955.

This problem has been solved

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