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A, B and C were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing?
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A, B and C were sharing profits and losses in the ratio of 8:6:6. D wa...
Solution:
Given:
The initial profit-sharing ratio of A, B, and C is 8:6:6.
D is admitted to 1/4th of the future profits and losses.
A sacrifices 1/4th of his share in favour of D.
B and C agree to share future profits in the ratio of 3:2.
Step 1: Calculate the initial share of A, B and C in the total profit.
Total profit = 8x + 6x + 6x = 20x
A's share = 8x/20 = 2x
B's share = 6x/20 = 3/5x
C's share = 6x/20 = 3/5x
Step 2: Calculate D's share in the future profits and losses.
D is admitted to 1/4th of the future profits and losses.
Therefore, D's share = 1/4 of the total profit = 1/4 * 20x = 5x
Step 3: Calculate A's new share in the total profit after sacrificing 1/4th of his share in favour of D.
A sacrifices 1/4th of his share in favour of D.
Therefore, A's new share = 2x - 1/4 * 2x = 3/2x
Step 4: Calculate B and C's new share in the total profit after agreeing to share future profits in the ratio of 3:2.
Let the new profit-sharing ratio of B and C be 3y and 2y respectively.
Therefore, 3y + 2y = 5y
B's new share = 3y/5 * (20x - 5x) = 9/5x
C's new share = 2y/5 * (20x - 5x) = 6/5x
Step 5: Calculate the new profit-sharing ratio of A, B, C, and D.
The total profit = 20x - 5x = 15x
The new profit-sharing ratio of A, B, C, and D is:
A : B : C : D
= 3/2x : 9/5x : 6/5x : 5x
= 15x : 18x : 12x : 50x
Step 6: Calculate the amount sacrificed by A in favour of D.
A sacrificed 1/4th of his share in favour of D.
Therefore, the amount sacrificed by A = 1/4 * 2x = 1/2x
Final Answer:
The new profit-sharing ratio of A, B, C, and D is 15x : 18x : 12x : 50x.
A sacrificed 1/2x in favour of D.
Given:
The initial profit-sharing ratio of A, B, and C is 8:6:6.
D is admitted to 1/4th of the future profits and losses.
A sacrifices 1/4th of his share in favour of D.
B and C agree to share future profits in the ratio of 3:2.
Step 1: Calculate the initial share of A, B and C in the total profit.
Total profit = 8x + 6x + 6x = 20x
A's share = 8x/20 = 2x
B's share = 6x/20 = 3/5x
C's share = 6x/20 = 3/5x
Step 2: Calculate D's share in the future profits and losses.
D is admitted to 1/4th of the future profits and losses.
Therefore, D's share = 1/4 of the total profit = 1/4 * 20x = 5x
Step 3: Calculate A's new share in the total profit after sacrificing 1/4th of his share in favour of D.
A sacrifices 1/4th of his share in favour of D.
Therefore, A's new share = 2x - 1/4 * 2x = 3/2x
Step 4: Calculate B and C's new share in the total profit after agreeing to share future profits in the ratio of 3:2.
Let the new profit-sharing ratio of B and C be 3y and 2y respectively.
Therefore, 3y + 2y = 5y
B's new share = 3y/5 * (20x - 5x) = 9/5x
C's new share = 2y/5 * (20x - 5x) = 6/5x
Step 5: Calculate the new profit-sharing ratio of A, B, C, and D.
The total profit = 20x - 5x = 15x
The new profit-sharing ratio of A, B, C, and D is:
A : B : C : D
= 3/2x : 9/5x : 6/5x : 5x
= 15x : 18x : 12x : 50x
Step 6: Calculate the amount sacrificed by A in favour of D.
A sacrificed 1/4th of his share in favour of D.
Therefore, the amount sacrificed by A = 1/4 * 2x = 1/2x
Final Answer:
The new profit-sharing ratio of A, B, C, and D is 15x : 18x : 12x : 50x.
A sacrificed 1/2x in favour of D.
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A, B and C were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing?
Question Description
A, B and C were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing? 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 were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing?.
A, B and C were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing? 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 were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing?.
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A, B and C were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing?, a detailed solution for A, B and C were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing? has been provided alongside types of A, B and C were sharing profits and losses in the ratio of 8:6:6. D was admitted to 1/4th of the future profits and losses. A sacrifices 1/4th of his share in favour of D. B and C agree to share future profits in the ratio of 3:2. Calculate new profit-sharing ratio and sacrificing? theory, EduRev gives you an
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