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A, B, C enter into a partnership. A contributes $ 3,20,000 for 4 months, B contributes $ 5,10,000 for 3 months and C contributes $ 2,70,000 for 5 months. If the total profit be $ 1,24,800, then A’s share in the profit is
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- $ 38,400
- $ 45,900
- $ 40,500
- $ 41,500
Correct Option: A
Given , The investment of A for 4 months = $ 3,20,000
The investment of B for 3 months = $ 5,10,000
The investment of C for 5 months = $ 2,70,000
We know that ,
Ratio of profit sharing among A, B and C = Ratio of equivalent capitals of A, B and C for 1 month
Ratio of profit sharing among A, B and C = 320000 × 4 : 510000 × 3 : 270000 × 5
Ratio of profit sharing among A, B and C = 32 × 4 : 51 × 3 : 27 × 5
Ratio of profit sharing among A, B and C = 128 : 153 : 135
Sum of ratios = 128 + 153 + 135 = 416
Total profit = $ 124800
| ∴ A’s share = | × 124800 = $ 38400 | 416 |
