A , B and C are partners sharing profits in the ratio of 3:2:1. D is admitted for 1/4th share which he acquire 1/8th from A and remaining share equally from B and C. Calculate the new profit sharing ratio.
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Answer:
A's old share= 2/5
B's old share= 2/5
C's old share= 1/5
D is admitted for 1/6th share. C will retain his original share.
Hence, remaining share= 1- [1/6] - [1/5]
= 19/30
This remaining share will be shared by A and B in their old ratio, i.e, 2:2
A's new share= 2/4 * 19/30
= 38/120
B's new share= 2/4 * 19/30
= 38/120
New Profit sharing ratio= 38:38:24:20
= 19:19:12:10
Sacrificing ratio= old ratio- new ratio
A's sacrifice= 2/5- 19/60
= 5/60
B's sacrifice= 2/5- 19/60
= 5/60
Sacrificing ratio= 5:5=
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