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A man buys some quantity of wheat for $ 2400. He sells one-third of it at a profit of 5%. At what per cent gain should he sell the remaining two-third so as to make an overall profit of 10% on the whole transaction?
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- 11.5%
- 12.5%
- 13%
- 13.5%
Correct Option: B
As per the given in question ,
| C.P. of | rd of wheat | = $ | = $ 800 | 3 | 3 |
| S.P. of | rd of wheat | = | × 800 = $ 840 | 3 | 100 |
C.P. of total wheat = $ 2400
| Required S.P. of total wheat = $ |  | 110 | × 2400 |  | = $ 2640 |
| 100 |
| C.P. of remaining | rd of wheat | = | × 2400 = $ 1600 | 3 | 3 |
| Required S.P. of remaining | rd of wheat = $ 2640 – 840 = $ 1800 | 3 |
| Profit % = | × 100 | C.P. |
| Therefore, required profit % = | × 100 | 1600 |
| Required profit % = | % = 12 | % = 12.5% | 2 | 2 |
