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A man spends 40% of his monthly salary on food and one-third of the remaining on transport. If he saves Rs.4,500 per month, which is equal to half the balance after spending on food and transport, his monthly salary is?

Question

A man spends 40% of his monthly salary on food and one-third of the remaining on transport. If he saves Rs.4,500 per month, which is equal to half the balance after spending on food and transport, his monthly salary is?

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Solution

Let's solve this step by step:

  1. Let's assume the man's monthly salary is Rs. X.

  2. He spends 40% of his salary on food, which is 0.4X.

  3. The remaining salary after spending on food is X - 0.4X = 0.6X.

  4. He spends one-third of the remaining salary on transport, which is (1/3) * 0.6X = 0.2X.

  5. The remaining salary after spending on food and transport is 0.6X - 0.2X = 0.4X.

  6. According to the problem, he saves Rs. 4,500 per month, which is equal to half the balance after spending on food and transport. So, 0.4X / 2 = 4,500.

  7. Solving for X, we get X = 4,500 * 2 / 0.4 = Rs. 22,500.

So, the man's monthly salary is Rs. 22,500.

This problem has been solved

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