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A and b are partners in a firm sharing profits in the ratio of 7:3 .c is admitted As a new partner . A sacrifies 2/7th of his share in profits in favour of c and b 1/7th of his share in favour of c. Calculate the new profit sharing ratio between a,b and c.?
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A and b are partners in a firm sharing profits in the ratio of 7:3 .c ...
**Given information:**
- A and B are partners in a firm.
- The ratio of their profit sharing is 7:3.
- C is admitted as a new partner.
- A sacrifices 2/7th of his share in favor of C.
- B sacrifices 1/7th of his share in favor of C.

**Calculating the new profit sharing ratio:**

1. Determine the original profit sharing ratio between A and B:
- A's share = 7/10 of the total profit.
- B's share = 3/10 of the total profit.

2. Calculate the amount sacrificed by A and B:
- A sacrifices 2/7 of his share, i.e., (2/7) * (7/10) = 2/10 of the total profit.
- B sacrifices 1/7 of his share, i.e., (1/7) * (3/10) = 3/70 of the total profit.

3. Calculate the new profit sharing ratio:
- A's new share = A's original share - amount sacrificed = 7/10 - 2/10 = 5/10.
- B's new share = B's original share - amount sacrificed = 3/10 - 3/70 = 18/70.
- C's share = amount sacrificed by A + amount sacrificed by B = 2/10 + 3/70 = 19/70.

4. Simplify the new profit sharing ratio:
- Multiply the ratio by a common factor to remove decimals, if any.
- Multiply all the shares by 70 to get rid of fractions.
- The new profit sharing ratio becomes:
- A : B : C = (5/10) * 70 : (18/70) * 70 : (19/70) * 70
= 35 : 18 : 19

5. Final profit sharing ratio:
- The new profit sharing ratio between A, B, and C is 35:18:19.

**Conclusion:**
The new profit sharing ratio between A, B, and C is 35:18:19. This means A will receive 35 parts of the profit, B will receive 18 parts, and C will receive 19 parts.
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A and b are partners in a firm sharing profits in the ratio of 7:3 .c is admitted As a new partner . A sacrifies 2/7th of his share in profits in favour of c and b 1/7th of his share in favour of c. Calculate the new profit sharing ratio between a,b and c.?
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