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Aiden always saves 50% of his salary. If his salary decreases by 30% , his savings will decrease by $210. How much is Aiden's original salary?

Question

Aiden always saves 50% of his salary. If his salary decreases by 30% , his savings will decrease by $210. How much is Aiden's original salary?

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Solution

Step 1: Let's denote Aiden's original salary as X.

Step 2: We know that Aiden saves 50% of his salary, so his savings are 0.5X.

Step 3: If his salary decreases by 30%, his new salary is 0.7X.

Step 4: His savings would also decrease by 30%, so his new savings are 0.5 * 0.7X = 0.35X.

Step 5: We know that the decrease in his savings is 210.So,0.5X0.35X=210. So, 0.5X - 0.35X = 210.

Step 6: Simplifying the equation gives 0.15X = $210.

Step 7: Solving for X, we get X = 210/0.15=210 / 0.15 = 1400.

So, Aiden's original salary is $1400.

This problem has been solved

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