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A,B and C are partners sharing profits and losses in the ratio 4:3:2. They admit D for 1/6 th share in profits and decide to share future profits among themselves in ratio of 2:2:1. Calculate New ratio and Sacrificing ratio.?
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A,B and C are partners sharing profits and losses in the ratio 4:3:2. ...
**Calculation of New Ratio:**
To calculate the new ratio, we need to consider the additional partner D and the new profit-sharing ratio among A, B, and C.
Let's assume the total profit is P.
The share of A, B, and C in the old ratio is:
A's share = 4/(4+3+2) * P = 4P/9
B's share = 3/(4+3+2) * P = 3P/9
C's share = 2/(4+3+2) * P = 2P/9
Now, partner D is admitted for 1/6th share in profits. Therefore, D's share = 1/6 * P = P/6.
The new ratio of sharing the remaining profit among A, B, and C is 2:2:1. So, the new share of A, B, and C would be:
A's new share = 2/(2+2+1) * (P - P/6) = 2P/15
B's new share = 2/(2+2+1) * (P - P/6) = 2P/15
C's new share = 1/(2+2+1) * (P - P/6) = P/15
Therefore, the new ratio of A, B, and C would be 2P/15 : 2P/15 : P/15, which simplifies to 2:2:1.
**Calculation of Sacrificing Ratio:**
The sacrificing ratio represents the adjustment made by the existing partners (A, B, and C) to accommodate the new partner (D). It is the ratio in which the existing partners sacrifice their shares in the profits.
To calculate the sacrificing ratio, we need to find the difference between the old and new share of each partner.
Sacrifice of A = A's old share - A's new share = (4P/9) - (2P/15) = (20P - 6P)/(45) = 14P/45
Sacrifice of B = B's old share - B's new share = (3P/9) - (2P/15) = (15P - 6P)/(45) = 9P/45 = P/5
Sacrifice of C = C's old share - C's new share = (2P/9) - (P/15) = (10P - 3P)/(45) = 7P/45
Therefore, the sacrificing ratio of A, B, and C would be 14P/45 : P/5 : 7P/45, which simplifies to 14:9:7.
To calculate the new ratio, we need to consider the additional partner D and the new profit-sharing ratio among A, B, and C.
Let's assume the total profit is P.
The share of A, B, and C in the old ratio is:
A's share = 4/(4+3+2) * P = 4P/9
B's share = 3/(4+3+2) * P = 3P/9
C's share = 2/(4+3+2) * P = 2P/9
Now, partner D is admitted for 1/6th share in profits. Therefore, D's share = 1/6 * P = P/6.
The new ratio of sharing the remaining profit among A, B, and C is 2:2:1. So, the new share of A, B, and C would be:
A's new share = 2/(2+2+1) * (P - P/6) = 2P/15
B's new share = 2/(2+2+1) * (P - P/6) = 2P/15
C's new share = 1/(2+2+1) * (P - P/6) = P/15
Therefore, the new ratio of A, B, and C would be 2P/15 : 2P/15 : P/15, which simplifies to 2:2:1.
**Calculation of Sacrificing Ratio:**
The sacrificing ratio represents the adjustment made by the existing partners (A, B, and C) to accommodate the new partner (D). It is the ratio in which the existing partners sacrifice their shares in the profits.
To calculate the sacrificing ratio, we need to find the difference between the old and new share of each partner.
Sacrifice of A = A's old share - A's new share = (4P/9) - (2P/15) = (20P - 6P)/(45) = 14P/45
Sacrifice of B = B's old share - B's new share = (3P/9) - (2P/15) = (15P - 6P)/(45) = 9P/45 = P/5
Sacrifice of C = C's old share - C's new share = (2P/9) - (P/15) = (10P - 3P)/(45) = 7P/45
Therefore, the sacrificing ratio of A, B, and C would be 14P/45 : P/5 : 7P/45, which simplifies to 14:9:7.
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A,B and C are partners sharing profits and losses in the ratio 4:3:2. ...

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A,B and C are partners sharing profits and losses in the ratio 4:3:2. They admit D for 1/6 th share in profits and decide to share future profits among themselves in ratio of 2:2:1. Calculate New ratio and Sacrificing ratio.?
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A,B and C are partners sharing profits and losses in the ratio 4:3:2. They admit D for 1/6 th share in profits and decide to share future profits among themselves in ratio of 2:2:1. Calculate New ratio and Sacrificing ratio.? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about A,B and C are partners sharing profits and losses in the ratio 4:3:2. They admit D for 1/6 th share in profits and decide to share future profits among themselves in ratio of 2:2:1. Calculate New ratio and Sacrificing ratio.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A,B and C are partners sharing profits and losses in the ratio 4:3:2. They admit D for 1/6 th share in profits and decide to share future profits among themselves in ratio of 2:2:1. Calculate New ratio and Sacrificing ratio.?.
A,B and C are partners sharing profits and losses in the ratio 4:3:2. They admit D for 1/6 th share in profits and decide to share future profits among themselves in ratio of 2:2:1. Calculate New ratio and Sacrificing ratio.? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about A,B and C are partners sharing profits and losses in the ratio 4:3:2. They admit D for 1/6 th share in profits and decide to share future profits among themselves in ratio of 2:2:1. Calculate New ratio and Sacrificing ratio.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A,B and C are partners sharing profits and losses in the ratio 4:3:2. They admit D for 1/6 th share in profits and decide to share future profits among themselves in ratio of 2:2:1. Calculate New ratio and Sacrificing ratio.?.
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