X And Y shared profits in the ratio of 3:1. They admit Z to one-third share in the future profits. What will be the new profit sharing ratio?
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Answer:
2:1:1
Explanation:
At the time of admission of a new partner, goodwill bought in by new partner is distributed among sacrificing partners in their sacrificing ratio.
In the given question -
Old ratio (X and Y) = 3 : 1
New ratio (X, Y and Z) = 2 : 1 : 1
Sacrificing ratio = Old ratio - New ratio
X's sacrifice ratio = (2/4) - (3/4) = 1/4
Y's sacrificing ratio = (1/4) - (1/4) = 0
Therefore, Goodwill of Rs. 4000 brought in by Z is credited to X only, as only X is sacrificing here.
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