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Question
X, Y and Z were partners sharing profits in the ratio of 3:2:1. Z retired, X & Y decide to acquire Z's share in the ratio 1:2.
X, Y and Z were partners sharing profits in the ratio of 3:2:1. Z retired, X & Y decide to acquire Z's share in the ratio 1:2.
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Solution
The correct option is C 5:4
Z's share will be divided between X and Y in the ratio of 1:2
X will gain = 1/3 * 1/6 = 1/18
Hence, X's new share
= 3/6 + 1/18 = 10/18.
Y will gain = 1/6 * 2/3 = 2/18.
Hence, Y's new share
= 2/6 + 2/18 = 8/18.
New ratio = 10/18 : 8/18 = 10:8 = 5:4
Z's share will be divided between X and Y in the ratio of 1:2
X will gain = 1/3 * 1/6 = 1/18
Hence, X's new share
= 3/6 + 1/18 = 10/18.
Y will gain = 1/6 * 2/3 = 2/18.
Hence, Y's new share
= 2/6 + 2/18 = 8/18.
New ratio = 10/18 : 8/18 = 10:8 = 5:4
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