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A,B and c were partner's in a firm sharing profit in the ratio of 3:2:1.They admitted D as a new partner for 1/8 share in the profits,which he acquire 1/16 from B and 1/16 from c. Calculate the new profit -sharing ratio of A ,B,c and S.?
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A,B and c were partner's in a firm sharing profit in the ratio of 3:2:...
Solution:

Given: A,B and C are partners in a firm sharing profit in the ratio of 3:2:1. D is a new partner for a 1/8 share in the profits, which he acquires 1/16 from B and 1/16 from C.

To find: The new profit-sharing ratio of A, B, C, and D.

Explanation:

Let the original profit be x.

The ratio of profit sharing among A, B, and C is 3:2:1. Therefore,
A's share = 3x/6 = x/2
B's share = 2x/6 = x/3
C's share = 1x/6 = x/6

D is a new partner and acquires 1/8 share, which is equal to x/8. D acquires 1/16 from B, which is equal to x/16, and 1/16 from C, which is equal to x/16.

D's share = x/16 + x/16 = x/8

The total profit share after D's admission in the firm is (x/2 + x/3 + x/6 + x/8) = (12x/24 + 8x/24 + 4x/24 + 3x/24) = 27x/24

Now, we need to calculate the new profit sharing ratio.

A's share = (3/6)x + (1/8)x = (12x + 3x)/24 = 15x/24
B's share = (2/6)x - (1/16)x = (8x - 1x)/48 = 7x/48
C's share = (1/6)x - (1/16)x = (4x - 1x)/48 = 3x/48
D's share = (1/8)x + (1/16)x + (1/16)x = (6x + 3x + 3x)/48 = 12x/48

Therefore, the new profit-sharing ratio of A, B, C, and D is 15:7:3:12.

Conclusion:

Thus, the new profit-sharing ratio of A, B, C, and D is 15:7:3:12.
Community Answer
A,B and c were partner's in a firm sharing profit in the ratio of 3:2:...
{ 24 : 13 : 5 : 6}

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A,B and c were partner's in a firm sharing profit in the ratio of 3:2:1.They admitted D as a new partner for 1/8 share in the profits,which he acquire 1/16 from B and 1/16 from c. Calculate the new profit -sharing ratio of A ,B,c and S.?
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