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A and B are partner sharing profit in the ratio of 3:2.they admitted C into partnership giving him ½ share in the profit which he acquires from A and B in the ratio of 3:1. Calculate the new profit ratio.?
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A and B are partner sharing profit in the ratio of 3:2.they admitted C...
Calculation of New Profit Ratio
Given:
- A and B are partners sharing profit in the ratio of 3:2.
- C is admitted into the partnership.
- C is given ½ share in the profit.
- C acquires his share from A and B in the ratio of 3:1.
To calculate the new profit ratio, we need to follow these steps:
Step 1: Find the total profit share of A and B before the admission of C.
- Let the total profit be x.
- A's profit share = 3x/5
- B's profit share = 2x/5
- Total profit share of A and B = 3x/5 + 2x/5 = x
Step 2: Find C's profit share.
- C is given ½ share in the profit, i.e., 1/2x.
- C acquires his share from A and B in the ratio of 3:1.
- Let C's share from A be 3y.
- Then, C's share from B will be y.
- So, 3y + y = 1/2x
- 4y = 1/2x
- y = 1/8x
- C's share from A = 3y = 3/8x
- C's share from B = y = 1/8x
Step 3: Find the new profit share of A, B, and C.
- A's new profit share = A's old profit share - C's share from A + C's share from C
- = 3x/5 - 3/8x + 3/16x
- = 27/40x
- B's new profit share = B's old profit share - C's share from B + C's share from C
- = 2x/5 - 1/8x + 1/16x
- = 11/40x
- C's new profit share = C's share from C
- = 1/16x
Step 4: Find the new profit ratio.
- New profit ratio of A:B:C = 27/40x : 11/40x : 1/16x
- Simplifying, we get 27:11:2
Therefore, the new profit ratio is 27:11:2.
Given:
- A and B are partners sharing profit in the ratio of 3:2.
- C is admitted into the partnership.
- C is given ½ share in the profit.
- C acquires his share from A and B in the ratio of 3:1.
To calculate the new profit ratio, we need to follow these steps:
Step 1: Find the total profit share of A and B before the admission of C.
- Let the total profit be x.
- A's profit share = 3x/5
- B's profit share = 2x/5
- Total profit share of A and B = 3x/5 + 2x/5 = x
Step 2: Find C's profit share.
- C is given ½ share in the profit, i.e., 1/2x.
- C acquires his share from A and B in the ratio of 3:1.
- Let C's share from A be 3y.
- Then, C's share from B will be y.
- So, 3y + y = 1/2x
- 4y = 1/2x
- y = 1/8x
- C's share from A = 3y = 3/8x
- C's share from B = y = 1/8x
Step 3: Find the new profit share of A, B, and C.
- A's new profit share = A's old profit share - C's share from A + C's share from C
- = 3x/5 - 3/8x + 3/16x
- = 27/40x
- B's new profit share = B's old profit share - C's share from B + C's share from C
- = 2x/5 - 1/8x + 1/16x
- = 11/40x
- C's new profit share = C's share from C
- = 1/16x
Step 4: Find the new profit ratio.
- New profit ratio of A:B:C = 27/40x : 11/40x : 1/16x
- Simplifying, we get 27:11:2
Therefore, the new profit ratio is 27:11:2.
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A and B are partner sharing profit in the ratio of 3:2.they admitted C into partnership giving him ½ share in the profit which he acquires from A and B in the ratio of 3:1. Calculate the new profit ratio.?
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A and B are partner sharing profit in the ratio of 3:2.they admitted C into partnership giving him ½ share in the profit which he acquires from A and B in the ratio of 3:1. Calculate the new profit 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 and B are partner sharing profit in the ratio of 3:2.they admitted C into partnership giving him ½ share in the profit which he acquires from A and B in the ratio of 3:1. Calculate the new profit ratio.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B are partner sharing profit in the ratio of 3:2.they admitted C into partnership giving him ½ share in the profit which he acquires from A and B in the ratio of 3:1. Calculate the new profit ratio.?.
A and B are partner sharing profit in the ratio of 3:2.they admitted C into partnership giving him ½ share in the profit which he acquires from A and B in the ratio of 3:1. Calculate the new profit 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 and B are partner sharing profit in the ratio of 3:2.they admitted C into partnership giving him ½ share in the profit which he acquires from A and B in the ratio of 3:1. Calculate the new profit ratio.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B are partner sharing profit in the ratio of 3:2.they admitted C into partnership giving him ½ share in the profit which he acquires from A and B in the ratio of 3:1. Calculate the new profit ratio.?.
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