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A person bought 50 pens for $ 50 each. He sold 40 of them at a loss of 5%. He wants to gain 10% on the whole. Then his gain per cent on the remaining pens should be
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- 15%
- 40%
- 50%
- 70%
Correct Option: D
Here , C.P. of 1 pen = $ 50
∴ C.P. of 50 pens = 50 × 50 = $ 2500
For profit of 10% ,
| S.P. = | = $ 2750 | 100 |
| S.P. of 40 pens at a loss of 5% = | = $ 1900 | 100 |
∴ S.P. of remaining 10 pens = 2750 – 1900 = $ 850
Gain = S.P. of remaining 10 pens - C.P. of remaining 10 pens = 850 - 500 = $ 350
| ∴ Gain % = | × 100 = 70 % | 500 |
