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Mason always saves 25% of his salary. If his salary decreases by 10% , his savings will decrease by $241. How much is Mason's original salary?

Question

Mason always saves 25% of his salary.

If his salary decreases by 10%, his savings will decrease by $241.

How much is Mason's original salary?

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Solution

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

  1. Let's denote Mason's original salary as X. Since Mason saves 25% of his salary, his savings amount to 0.25X.

  2. If his salary decreases by 10%, his new salary becomes 0.9X. Since he still saves 25% of his salary, his new savings amount to 0.25*0.9X.

  3. According to the problem, the difference between his original savings and his new savings is 241.So,wecansetuptheequation:0.25X0.250.9X=241. So, we can set up the equation: 0.25X - 0.25*0.9X = 241.

  4. Simplifying the equation gives: 0.025X = $241.

  5. Solving for X, we get: X = 241/0.025=241 / 0.025 = 9,640.

So, Mason's original salary was $9,640.

This problem has been solved

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