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A and B share profits and losses in the ratio 2:1.
C is admitted with 1/4th share in profits 
C acquired 3/4th of his share from B. New profit and loss sharing ratio will be:
  • a)
    2: 1 : 1
  • b)
    23 : 13 : 12
  • c)
    3 : 1: 1
  • d)
    1: 1: 1
Correct answer is option 'B'. Can you explain this answer?
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A and B share profits and losses in the ratio 2:1.C is admitted with 1...
Given, the profit and loss sharing ratio of A and B is 2:1.
C is admitted with 1/4th share in profits.
C acquired 3/4th of his share from B.

Finding the Share of A, B and C
Let us assume that the total profit is P.
Hence, the share of A and B in the profit will be 2P/3 and P/3 respectively.
Now, C is admitted with 1/4th share in profits. So, C's share in the profit will be P/4.
Also, C acquired 3/4th of his share from B. So, B's share in C's profit will be (3/4) * (P/4) = 3P/16.
Therefore, the new profit and loss sharing ratio will be as follows:

A's share = 2P/3
B's share = P/3 - 3P/16 = 13P/48
C's share = P/4 + 3P/16 = 7P/16

Calculating the Ratio
To simplify the ratio, we can multiply each share by the LCM of the fractions.

A's share = (2P/3) * 16 = 32P/48
B's share = (13P/48) * 4 = 13P/12
C's share = (7P/16) * 3 = 21P/48

Therefore, the new profit and loss sharing ratio will be:

32P/48 : 13P/12 : 21P/48

Simplifying the ratio by dividing each term by P/48:

32/2 : 13/1 : 21/2
= 16 : 13 : 12

Hence, the correct answer is option (B) 23:13:12.
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A and B share profits and losses in the ratio 2:1.C is admitted with 1/4th share in profitsC acquired 3/4th of his share from B. New profit and loss sharing ratio will be:a)2: 1 : 1b)23 : 13 : 12c)3 : 1: 1d)1: 1: 1Correct answer is option 'B'. Can you explain this answer?
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