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A and b are partners sharing profits in the ratio of 3:2.they admit C into partnership giving him 1/2 share in profits which he acquires from A and B in the ratio of 3:1.calculate the new profit sharing ratio?
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A and b are partners sharing profits in the ratio of 3:2.they admit C ...
Understanding the Current Profit Sharing Ratio
A and B are partners sharing profits in the ratio of 3:2. This means:
- A's share = 3 parts
- B's share = 2 parts
- Total parts = 3 + 2 = 5 parts
Admission of Partner C
C is admitted into the partnership and receives a 1/2 share of the profits. This share is acquired from A and B in the ratio of 3:1. To find out how much share A and B will give up:
Calculating C's Share from A and B
- C's share = 1/2 of the total profits
- Hence, A and B together will give C 1/2 share.
Since C takes this 1/2 share from A and B in the ratio of 3:1:
- A gives up 3/4 of the share given to C
- B gives up 1/4 of the share given to C.
Calculating the Reduction in Shares
- A's reduction = (3/4) * (1/2) = 3/8
- B's reduction = (1/4) * (1/2) = 1/8
New Shares of A and B
- A's new share = Original share - Reduction = (3/5) - (3/8)
- B's new share = Original share - Reduction = (2/5) - (1/8)
To compute the new shares:
- A: (24/40) - (15/40) = 9/40
- B: (16/40) - (5/40) = 11/40
New Profit Sharing Ratio
Now, we calculate C's share:
- C's share = 1/2 = 20/40
Thus, the new profit-sharing ratio is:
- A : B : C = 9/40 : 11/40 : 20/40
To express this in simplified form:
- A : B : C = 9 : 11 : 20
Conclusion
The new profit-sharing ratio among A, B, and C is 9:11:20.
A and B are partners sharing profits in the ratio of 3:2. This means:
- A's share = 3 parts
- B's share = 2 parts
- Total parts = 3 + 2 = 5 parts
Admission of Partner C
C is admitted into the partnership and receives a 1/2 share of the profits. This share is acquired from A and B in the ratio of 3:1. To find out how much share A and B will give up:
Calculating C's Share from A and B
- C's share = 1/2 of the total profits
- Hence, A and B together will give C 1/2 share.
Since C takes this 1/2 share from A and B in the ratio of 3:1:
- A gives up 3/4 of the share given to C
- B gives up 1/4 of the share given to C.
Calculating the Reduction in Shares
- A's reduction = (3/4) * (1/2) = 3/8
- B's reduction = (1/4) * (1/2) = 1/8
New Shares of A and B
- A's new share = Original share - Reduction = (3/5) - (3/8)
- B's new share = Original share - Reduction = (2/5) - (1/8)
To compute the new shares:
- A: (24/40) - (15/40) = 9/40
- B: (16/40) - (5/40) = 11/40
New Profit Sharing Ratio
Now, we calculate C's share:
- C's share = 1/2 = 20/40
Thus, the new profit-sharing ratio is:
- A : B : C = 9/40 : 11/40 : 20/40
To express this in simplified form:
- A : B : C = 9 : 11 : 20
Conclusion
The new profit-sharing ratio among A, B, and C is 9:11:20.
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A and b are partners sharing profits in the ratio of 3:2.they admit C into partnership giving him 1/2 share in profits which he acquires from A and B in the ratio of 3:1.calculate the new profit sharing ratio?
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A and b are partners sharing profits in the ratio of 3:2.they admit C into partnership giving him 1/2 share in profits which he acquires from A and B in the ratio of 3:1.calculate the new profit sharing ratio? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A and b are partners sharing profits in the ratio of 3:2.they admit C into partnership giving him 1/2 share in profits which he acquires from A and B in the ratio of 3:1.calculate the new profit sharing ratio? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and b are partners sharing profits in the ratio of 3:2.they admit C into partnership giving him 1/2 share in profits which he acquires from A and B in the ratio of 3:1.calculate the new profit sharing ratio?.
A and b are partners sharing profits in the ratio of 3:2.they admit C into partnership giving him 1/2 share in profits which he acquires from A and B in the ratio of 3:1.calculate the new profit sharing ratio? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A and b are partners sharing profits in the ratio of 3:2.they admit C into partnership giving him 1/2 share in profits which he acquires from A and B in the ratio of 3:1.calculate the new profit sharing ratio? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and b are partners sharing profits in the ratio of 3:2.they admit C into partnership giving him 1/2 share in profits which he acquires from A and B in the ratio of 3:1.calculate the new profit sharing ratio?.
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