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Question

X & Y sharing profits in the ratio of 3:1. They admit Z as a partner who pays Rs.4,000 as goodwill the new profit sharing being 2:1:1 among X,Y & Z respectively. The amount of goodwill will be credited to ___________.

A
X & Y as Rs.3,000 & Rs.1,000 respectively
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B
X only
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C
Y only
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D
None of the above
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Solution

The correct option is D X only
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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