anil and sunil are partners sharing profits and losses in the ratio of 3:2 they admit ashok as a new partner for 1/4th share. the new profit sharing ratio between anil and sunil will be 2:1 calculate the sacrifice ratio
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Given:
- Anil and Sunil are partners sharing profits and losses in the ratio 3:2.
- Ashok is admitted as a partner for 1/4th of the shares.
- The new profit-sharing ratio of Anil and Sunil will be 2:1.
To find: The sacrificing ratio between Anil and Sunil.
Answer:
- Anil's old share = 3/5
- Sunil's old share = 2/5
- Ashok's share = 1/4
- Anil's new share = 2/3
- Sunil's new share = 1/3
Let the total profit be assumed as 1.
The remaining share for Anil and Sunil = 1 - 1/4 = 3/4.
Calculation of the new profit-sharing ratio:
New ratio = New share × Remaining share
For Anil:
- New ratio = 2/3 × 3/4 = 6/12 = 2/4
For Sunil:
- New ratio = 1/3 × 3/4 = 3/12 = 1/4
For Ashok:
- New ratio = 1/4
Therefore, the new profit-sharing ratio of Anil, Sunil and Ashok is 2:1:1.
Calculation of the sacrificing ratio:
Sacrificing ratio = Old share - New share
For Anil:
- Sacrificing ratio = 3/5 - 2/4 = (12 - 10)/20 = 2/20
For Sunil:
- Sacrificing ratio = 2/5 - 1/4 = (8 - 5)/20 = 3/20
Therefore, the sacrificing ratio between Anil and Sunil is 2:3.
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