N and S are partners in a firm sharing profits in the ratio of 4 : 1. They admit M as a partner for 1/4th share in the profits. M acquires his share from N and S in the ratio of 3 : 2. The new profit-sharing ratio will be:
[0.88 marks]
A
4 : 1 : 1
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B
5 : 13 : 2
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C
13 : 2 : 5
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D
2 : 13 : 5
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Solution
The correct option is C 13 : 2 : 5 Answer - Option (C) is correct
N’s old share = 4/5
S’s old share = 1/5
M is admitted for 1/4th share.
N’s sacrifice = 1/4 × 3/5 = 3/20
S’s sacrifice = 1/4 × 2/5 = 2/20
New profit sharing ratio is:
N = 4/5 - 3/20 = 13/20
S = 1/5 - 2/20 = 2/20
M = 1/4 or 5/20
N : S : M :: 13 : 2 : 5