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A man bought 500 metres of electronic wire at 50 paise per metre. He sold 50% of it at a profit of 5%. At what percent should he sell the remainder so as to gain 10% on the whole transaction?
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- 13%
- 12.5%
- 15%
- 20%
Correct Option: C
At the rate of 50 paise per metre,
According to question ,
| C.P. of 250 metre of wire = Rs. |  | 250 × 50 |  | = Rs. 125 | ||
| 100 |
C.P. of 500 metre of wire = Rs. 250
∴ For 10% overall profit,
| Total S.P. = Rs. | | 250 × 110 | | = Rs. 275 | ||
| 100 |
| S.P. of 250 metre of wire = Rs. | | 125 × 105 | | = Rs. 131.25 | ||
| 100 |
∴ S.P. of remaining 250 metre wire = Rs. (275 – 131.25) = Rs. 143.75
Profit = 143.75 - 125 = Rs. 18.75
| ∴ Required profit percent = | | Profit | | × 100 | ||
| C.P. of 250 metre of wire |
| Required profit percent = | | = 15% | | 125 |
