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Select the correct answerA 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?OptionsRs.11,250Rs.25,000Rs.45,000Rs.22,500

Question

Select the correct answerA 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?OptionsRs.11,250Rs.25,000Rs.45,000Rs.22,500

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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 means he spends 0.4X on food.

  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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