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A man purchases some mangoes at the rate of 3 for $ 4 and the same quantity at 5 for $ 6. If he sells all the mangoes at the rate of 3 for $ 5, find his approximate gain or loss per cent.
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- 35% loss
- 32% loss
- 32% profit
- 35% gain
Correct Option: C
Suppose the man purchases 1 mango in each case.
∵ C.P. of 3 mangoes = $ 4
| ∴ C.P. of 1 mango = $ | 3 |
Again,
∵ C.P. of 5 mangoes = $ 6
| ∴ C.P. of 1 mango = $ | 5 |
| ∴ C.P. of 2 (mixed) mangoes = | + | = | | = $ | | 3 | 5 | 15 | 15 |
| ∴ C.P. of 1 mango = | × | = $ | 2 | 15 | 15 |
Now, ∵ S.P. of 3 mangoes = $ 5
| ∴ S.P. of 1 mango = $ | 3 |
| ∴ Profit = | - | = $ | | = $ | | 3 | 15 | 15 | 5 |
| ∵ Profit on $ | = $ | 15 | 5 |
| ∴ Profit on $ 1 = | × | 5 | 19 |
| ∴ Profit on $ 100 = | × | × 100 = $ 31 | 5 | 9 | 19 |
| Hence, profit % = 31 | % or ≈ 32% | 19 |
