Question Bank - Accountancy

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A', 'B' and 'C' are partners sharing profits in the ratio of 3 : 2 : 1. 'D' is admitted for \(\frac{{{1^{{\rm{th}}}}}}{6}\)share and 'C' should retain his original share.The sacrificing ratio of A and B will be:

A.
01:02
B.
02:03
C.
03:02
D.
02:01

Solution:

The correct answer is 3 : 2A's old share= 3 /6B's old share= 2/6C's old share= 1/6Share for D - 1/6Remaining share = 1 - 1/6 = 5/6Share retained by C = 1/ Remaining Share = 5 / 6 - 1/ 6 = 4 / 6This remaining share will be shared by A and B in their old ratio, i. e, 3 : 2A's new share = \({4\over6}\times {3\over5} = {12\over 30}\) B's new share = \({4\over6}\times {2\over5} = {8\over 30}\)New Ratio of A : B : C : D = 12 : 8 : 5 : 5Sacrificing ratio = old Ratio - New RatioSacrifice by A = 3/5 - 12/30 = 6/30Sacrifice by B = 2/5 - 8/30 = 4/30Sacrificing Ratio = 6 : 4 = 3 : 2Alternate MethodWhen the new ratio is not given in the question, the old ratio itself is the sacrificing ratio. Hence, the correct answer is 3 : 2

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