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Question

'A' and 'B', who are partners, share profits in the ratio of 7:3, 'C' is admitted as a new partner, 'A' surrenders 1/7 of his share and 'B' surrender 1/3 of his share in favour of 'C'. The new profit sharing ratio will be ___________.

A
6:2:2
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B
4:1:1
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C
3:2:2
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D
None of these
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Solution

The correct option is A 6:2:2
Old ratio (A : B) = 7 : 3
Sacrificing ratio = Old ratio * suurender share
A's sacrificing ratio = (7/10) * (1/7) = 1/10
B's sacrificing ratio = (3/10) * (1/3) = 1/10
New share = Old share - sacrificing ratio
A's new share = (7/10) - (1/10) = (6/10)
B's new share = (3/10) - (1/10) = (2/10)
C's share = Sacrificing ratio of A and B
C's share = (1/10) + (1/10) = (2/10)
Therfore, new profit sharing ratio of A : B : C = 6 : 2 : 2

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