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A and B are partners in a business sharing profits and losses in the ratio of 7 : 3 respectively. They admit C as a new partner. A sacrificed 1/7th share of his profit and B sacrificed 1/3rd of his share in favour of C. The new profit sharing ratio of A, B and C will be :
3 : 1 : 1
2 : 1 : 1
2 : 2 : 1
None of the above
Let’s break it down:
- A and B originally shared profits in a 7:3 ratio.
- A's original share is 7/10, and B's original share is 3/10.
- A sacrificed 1/7th of his share: (1/7) * (7/10) = 1/10.
- B sacrificed 1/3rd of his share: (1/3) * (3/10) = 1/10.
- C gets A's sacrifice + B's sacrifice, which totals 1/10 + 1/10 = 2/10 = 1/5.
Now, calculate the new shares:
- A's new share: (7/10) - (1/10) = 6/10 = 3/5.
- B's new share: (3/10) - (1/10) = 2/10 = 1/5.
- C's share: 1/5.
This results in the ratio: 3/5 : 1/5 : 1/5, which simplifies to 3 : 1 : 1.
- Option 1: 3 : 1 : 1 - Correct Answer
- Option 2: 2 : 1 : 1 - Incorrect
- Option 3: 2 : 2 : 1 - Incorrect
- Option 4: None of the above - Incorrect
By: santosh ProfileResourcesReport error
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