A and B were partners in 3:2 .on the 1-4-2018 they admitted C as a new...
**Calculation of New Profit Sharing Ratio**
To calculate the new profit sharing ratio, we need to consider the following steps:
Step 1: Calculate the total shares of A and B before the admission of C and D.
A and B were partners in the ratio of 3:2. This means that A had a 3/5 share and B had a 2/5 share.
Step 2: Calculate the share acquired by C.
C was admitted as a new partner for a 1/4 share. This means that C acquired 1/4 of the total profits.
Step 3: Calculate the new total shares after the admission of C.
Since C acquired a 1/4 share, the total shares will now be divided among A, B, and C. Therefore, the new total shares will be 5/4 (1/4 for C and 1 for A and B).
Step 4: Calculate the new share of A and B after the admission of C.
To find the new share of A and B, we need to divide the total shares among them in the ratio of their previous shares. So, A will have (3/5) * (5/4) = 3/4 share, and B will have (2/5) * (5/4) = 1/2 share.
Step 5: Calculate the share acquired by D.
D was admitted as a new partner for a 1/5 share. This means that D acquired 1/5 of the total profits.
Step 6: Calculate the new total shares after the admission of D.
Since D acquired a 1/5 share, the total shares will now be divided among A, B, C, and D. Therefore, the new total shares will be 6/5 (1/5 for D and 1 for A, B, and C).
Step 7: Calculate the new share of A, B, and C after the admission of D.
To find the new share of A, B, and C, we need to divide the total shares among them in the ratio of their previous shares. So, A will have (3/4) * (6/5) = 9/10 share, B will have (1/2) * (6/5) = 3/5 share, and C will have (1/4) * (6/5) = 3/10 share.
Step 8: Calculate the sacrificing ratio.
The sacrificing ratio is the ratio in which the existing partners sacrifice their shares to accommodate the new partner. In this case, A and B sacrificed their shares in the ratio of 9:6. Therefore, the sacrificing ratio is 3:2.
**New Profit Sharing and Sacrificing Ratio**
The new profit sharing ratio after the admission of C and D is as follows:
A: 9/10 share
B: 3/5 share
C: 3/10 share
D: 1/5 share
The sacrificing ratio is 3:2, which means that A sacrificed 3/10 share and B sacrificed 2/10 share.
In summary, after the admission of C and D, the new profit sharing ratio is A: 9/10, B: 3/5, C: 3/10, and D: 1/5. A and B sacrificed their
A and B were partners in 3:2 .on the 1-4-2018 they admitted C as a new...
I think that new profit sharing ratio will be 23:14:11:12
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