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A man purchases some oranges at the rate of 3 for Rs. 40 and the same quantity at 5 for Rs. 60. If he sells all the oranges at the rate of 3 for Rs. 50, find his gain or loss percent (to the nearest integer).
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- 32% profit
- 31% loss
- 34% loss
- 31% profit
Correct Option: A
Let the man buy in all 30 oranges.
C.P. of some oranges at the rate of 3 = Rs. 40
{ ∴ LCM of 3 and 5 = 15 }
| ∴ C.P. of 15 oranges at 3 for Rs. 40 = | × 15 = Rs. 200 | 3 |
| Again, C.P. of 15 oranges at 5 for Rs. 60 = | × 15 = Rs. 180 | 5 |
∴ Total C.P. = Rs. (200 + 180) = Rs. 380
| S.P. of 30 oranges = | × 30 = Rs. 500 | 3 |
∴ Profit = Rs. (500 – 380) = Rs. 120
| ∴ Profit % = | × 100 = 31.58% ≈ 32% | 380 |
