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A and B are partners in a firm sharing profits in the ratio 3:2. C is admitted on the conditions that profit sharing ratio between B and C will be 5:4. Find the profit sharing ratio of A, B and C?
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A and B are partners in a firm sharing profits in the ratio 3:2. C is ...
Calculation of Profit Sharing Ratio

Given:
- A and B share profits in the ratio 3:2
- B and C share profits in the ratio 5:4

Let's assume:
- A's share is 3x
- B's share is 2x
- C's share is 4y

Calculate B's share:
- B's share in ratio 5:4 is 2x
- Therefore, 2x = 5y
- x = 5y/2

Calculate A's share:
- A's share is 3x
- Substitute x value: A's share = 3 * (5y/2) = 15y/2

Profit sharing ratio:
- A:B:C = 15y/2 : 5y : 4y
- Simplify the ratio: 15y : 10y : 8y
- Further simplify by dividing by 2: 7.5 : 5 : 4
Therefore, the profit sharing ratio of A, B, and C is 7.5 : 5 : 4.
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A and B are partners in a firm sharing profits in the ratio 3:2. C is admitted on the conditions that profit sharing ratio between B and C will be 5:4. Find the profit sharing ratio of A, B and C?
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