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.
A and B share profits and losses in the ratio 2:1.C is admitted with 1...
Can anyone please explain me.... this question