Raj always saves 65% of his salary. If his salary decreases by 40% , his savings will decrease by $390. How much is Raj's original salary?
Question
Raj always saves 65% of his salary.
If his salary decreases by 40%, his savings will decrease by $390.
How much is Raj's original salary?
Solution
Step 1: Let's denote Raj's original salary as X.
Step 2: According to the problem, Raj saves 65% of his salary. So, his savings are 0.65X.
Step 3: The problem also states that if his salary decreases by 40%, his savings will decrease by $390. This means his new salary is 60% of the original, or 0.6X, and his savings on this new salary are 0.65 * 0.6X.
Step 4: The difference between his original savings and his new savings is 390.
Step 5: Simplify the equation to find the value of X. This will give you Raj's original salary.
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