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A man spends 70% of his salary on food expenses, 40% of the remaining amount on traveling expenses, and 90% of the remaining amount on house rent. He is finally left with $3600. How much did he spend on traveling expenses?

Answer :

Final answer:

The man's total salary is $60000, and he spent $7200 on traveling expenses.

Explanation:

Let's start by assuming that the man's salary is X. He spends 70% of his salary on food, leaving him with 30% of X or 0.3X. He then spends 40% of the rest on traveling, which is 0.4 * 0.3X = 0.12X on traveling expenses. After he spends 90% of the remaining amount on house rent, he is left with 0.06X (10% of 0.6X) which equals $3600. From this, we can set up the equation 0.06X = $3600 and solve for X. It turns out that X = $60000, representing the man's salary. The traveling expenses would be 0.12 multiplied by his salary, which is 0.12 * $60000 = $7200.

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