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Question

A and B are partners sharing profits in the ratio of 7:3. C is admitted for 3/7 share in the profits, the new profit sharing ratio among the partners will be ____________________.

A
A : B : C :: 14 : 6 : 15
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B
A : B : C :: 7 : 6 : 7
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C
A : B : C :: 7 : 3 : 3
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D
A : B : C :: 5 : 3 : 3
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Solution

The correct option is A A : B : C :: 14 : 6 : 15
Calculation of the new profit sharing ratio :-
Let as assume Total Profit as "1"
Given, C's share = 3/7
So, remaining profit = 1 - 3/7 = 4/7
A = 4/7 x 7/10 = 28/70 (Remaining profit x old ratio)
B = 4/7 x 3/10 = 12/70 (Remaining profit x old ratio)
C = 3/7 x 10/10 = 30/70
Hence , 28: 12: 30 can be written as 14: 6: 15.

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