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Faye will get $15795 more if her salary is increased by 27%. Faye's salary is 35% less than her colleague Sally's salary. What is Sally's salary?

Question

Faye will get $15795 more if her salary is increased by 27%. Faye's salary is 35% less than her colleague Sally's salary. What is Sally's salary?

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Solution

To solve this problem, we need to follow these steps:

  1. First, we need to find out Faye's original salary. If Faye gets 15795morewhenhersalaryisincreasedby2715795 more when her salary is increased by 27%, that means 15795 is the 27% of her original salary. We can set up the equation as follows:

    0.27 * Faye's original salary = $15795

    To find Faye's original salary, we divide $15795 by 0.27:

    Faye's original salary = 15795/0.27=15795 / 0.27 = 58500

  2. Next, we know that Faye's salary is 35% less than Sally's salary. This means that Faye's salary is 65% (100% - 35%) of Sally's salary. We can set up the equation as follows:

    0.65 * Sally's salary = Faye's original salary

    To find Sally's salary, we divide Faye's original salary by 0.65:

    Sally's salary = 58500/0.65=58500 / 0.65 = 90000

So, Sally's salary is $90000.

This problem has been solved

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