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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 ₹ 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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- ₹ 11,250
- ₹ 22,500
- ₹ 25,000
- ₹ 45,000
Correct Option: B
Suppose monthly income of the man is Rs. P.
| Expenditure on food = 40% of P = ₹ | ||
| 5 |
| Remaining amount = P – | ||
| 5 |
| = ₹ | ||
| 5 |
| Expenditure on transport = | × | |||
| 3 | 5 |
| = ₹ | ||
| 5 |
| Remaining amount = | - | |||
| 5 | 5 |
| = | ||
| 5 |
| = | × | = 4500 | ||
| 2 | 5 |
∴ P = 4500 × 5 = ₹ 22,500Suppose monthly income of the man is Rs. x.
Expenditure on food
| = 40% of x = ₹ | ||
| 5 |
| Remaining amount = x – | ||
| 5 |
| = ₹ | ||
| 5 |
Expenditure on transport
| = | × | |||
| 3 | 5 |
| = ₹ | ||
| 5 |
Remaining amount
| = | - | |||
| 5 | 5 |
| = | ||
| 5 |
| = | × | = 4500 | ||
| 2 | 5 |
∴ x = 4500 × 5 = ₹ 22,500
