A and B were partners sharing profits in the ratio of 5:3.On 1st April ,2014 they admitted C as a new partner for 1/4th share which he acquired from A and B in the ratio of 3:2.on 1st April 2015, another new partner D was admitted for 1/6th share which he acquired 1/10 from A and 1/15 from C .on 1st April ,2016 A dies and his share was taken over by B,C and D equally.
Calculate:
1. New profit sharing ratio of A,B and C on C's admission.
2.New profit sharing ratio A,B,C and D on D's admission .
3.New profit sharing ratio of B,C and D on A's death.
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A,B and C are partners sharing profits in the ratio of 2:2:1. D is admitted as a new partner for 1/6
th
share. C will retain his original share. Calculate the new profit sharing ratio and sacrificing ratio.
Easy
Solution
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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= 1:1
[Note: since nothing is mentioned, we assume that only A and B have sacrificed since C retains his old share]