Ethan always saves 60% of his salary. If his salary decreases by 15% , his savings will decrease by $270. How much is Ethan's original salary?
Question
Ethan always saves 60% of his salary. If his salary decreases by 15% , his savings will decrease by $270. How much is Ethan's original salary?
Solution 1
Step 1: Let's denote Ethan's original salary as X.
Step 2: We know that Ethan saves 60% of his salary, so his savings are 0.60X.
Step 3: If his salary decreases by 15%, his new salary becomes 0.85X.
Step 4: His savings would also decrease proportionally, so his new savings would be 0.60 * 0.85X = 0.51X.
Step 5: We know that the decrease in his savings is 270.
Step 6: Simplifying the equation gives 0.09X = $270.
Step 7: Solving for X, we get X = 3000.
So, Ethan's original salary is $3000.
Solution 2
Step 1: Let's denote Ethan's original salary as X.
Step 2: We know that Ethan saves 60% of his salary, so his savings are 0.60X.
Step 3: If his salary decreases by 15%, his new salary is 0.85X.
Step 4: His savings would also decrease by 15%, so his new savings would be 0.60 * 0.85X = 0.51X.
Step 5: We know that the decrease in his savings is 270.
Step 6: Simplifying the equation gives 0.09X = $270.
Step 7: Solving for X, we get X = 3000.
So, Ethan's original salary is $3000.
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