Mohan and Rohan are sharing profits and losses in the ratio of 2:3. They admitted Chandran for 1/4th share in future profit. Calculate new profit sharing ratio.
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Given:
- Mohan and Rohan are partners in a firm, sharing profits and losses in the ratio 2:3.
- Chandran was admitted into the firm for 1/4th share in profits.
To find: The new profit-sharing ratio.
Answer:
- Mohan's old share = 2/5
- Rohan's old share = 3/5
- Chandran's share = 1/4
Let the total profit be assumed as 1.
Remaining profit [for Mohan and Rohan] = 1 - 1/4 = 3/4
The remaining profit will be distributed among the old partners in their old profit-sharing ratio.
Calculation of the new profit-sharing ratio:
New share = Old share × Remaining profit
For Mohan:
- New share = 2/5 × 3/4 = 6/20
For Rohan:
- New share = 3/5 × 3/4 = 9/20
For Chandran:
- New share = 1/4, or 5/20
Therefore, the new profit-sharing ratio is 6:9:5.
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