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X, Y and Z were partners sharing profits in the ratio of 4/9 : 3/9 : 2/9. X retires and his share was taken up by Y and Z in the ratio of 2 : 1. Find out the new ratio.

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Question

X, Y and Z were partners sharing profits in the ratio of 4/9 : 3/9 : 2/9. X retires and his share was taken up by Y and Z in the ratio of 2 : 1. Find out the new ratio.

Numerical
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Solution

1. Calculate the share gained by remaining partners:

X's retiring share = `4/9`

Share taken by Y = `4/9 xx 2/3 = 8/27`

Share taken by Z = `4/9 xx 1/3 = 4/27`

2. Calculate the new share of Y and Z:

Y's New Share = Old Share + Gained Share

`3/9 + 8/27 = 9/27 + 8/27 = 17/27`

Z's New Share = Old Share + Gained Share

`2/9 + 4/27 = 6/27 = 4/27 = 10/27`

New Ratio = 17 : 10

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Chapter 4: Retirement or Death of a Partner - PRACTICAL QUESTIONS [Page 4.130]

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D. K. Goel Accountancy Part A Volume 1 and 2 [English] Class 12
Chapter 4 Retirement or Death of a Partner
PRACTICAL QUESTIONS | Q 80. | Page 4.130
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