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A, B and C started a business with their investments in the ratio 1 : 2 : 4. After 6 months A increased his capital by 50% and B invested twice the amount as before, while C withdrew (1 / 4) of his own investment. The ratio of their profits at the end of the year was
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- 10 : 5 : 9
- 5 : 12 : 14
- 6 : 9 : 17
- 5 : 14 : 16
Correct Option: B
Given in question , The ratio of investments of A , B and C = 1 : 2 : 4
Let the investments of A , B and C are k , 2k and 4k .
Ratio of equivalent capitals of A, B and C for 1 month
| = |  | k × 6 + | 3k | × 6 |  | : ( 2k × 6 + 4k × 6 ) : ( 4k × 6 + 3k × 6 ) |
| 2 |
Ratio of equivalent capitals of A, B and C for 1 month = 15k : 36k : 42k = 5 : 12 : 14
