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A, B and C invest their capital into a partnership business in the following manner; A invests one-half of the capital for three- fourth of the time, B invests one-third of the capital for one-half of the time and C invests the remaining capital for the whole time. If the profit earned is $ 510, how should A get?
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- $ 260
- $ 250
- $ 270
- $ 280
Correct Option: C
From the given question ,
| C’s share of the capital = 1 - |  | 1 | + | 1 |  | = | 1 | |
| 2 | 3 | 6 |
| A : B : C = | | 1 | × | 3 | | : |  |
| 2 | 3 |
| A : B : C = | : | : | 8 | 6 | 6 |
| A : B : C = | : | : | 24 | 24 | 24 |
A : B : C = 9 : 4 : 4
Sum of ratios of A , B and C = 9 + 4 + 4 = 17
Profit = $ 510
| Profit share = | = $ 30 | 17 |
Profit share of A = $ 30 × 9 = $ 270
