A. B and C were partners in a firm sharing profits in 3:3:2 ratio. They admitted D as a new partner for 4/7 profit. D acquired his share 2/7 from A. 1/7 from B and 1/7 from C. Calculate new profit sharing ratio?
Answers
Answer: New Profit sharing Ratio = 5 : 13 : 6 : 32
Step by step Explanation:
Given that:
Old ratio of the partners A, B and C is 3 : 3 : 2.
D is admitted for 4/7th profit, of which 2/7th is acquired from A, 1/7th from B and 1/7th from C.
That is,
D's share = A's share + B's share + C's share
Now,
Finding the new profit sharing ratio:
New Ratio = Old ratio - sacrificing ratio
A's New Ratio = 3/8 - 2/7
= 21/56 - 16/56
= 5/56
B's New Ratio = 3/8 - 1/7
= 21/56 - 8/56
= 13/56
C's New Ratio = 2/8 - 1/7
= 14/56 - 8/56
= 6/56
D's New Ratio = 4/7 or 32/56 ..[given]
Hence,
New ratio of Partners = 5/56 : 13/56 : 6/56 : 32/56 OR 5 : 13 : 6 : 32
Given :-
A,B and C were partners in a firm sharing profits in 3:3:2 ratio. They admitted D as a new partner for 4/7 profit. D acquired his share 2/7 from A. 1/7 from B and 1/7 from C.
To Find :-
New profit sharing ratio
Solution :-
Here
Sacrifice of D = Sacrifice of A + Sacrifice of B + Sacrifice of C
So, For A the new ratio will be
Total part in old share - Total part in new share
3/8 - 2/7
21 - 16/56
5/56
Now, For B the new ratio will be
Total part in old share - Total part in new share
3/8 - 1/7
21 - 8/56
13/56
Now, For C the new ratio will be
Total part in old share - Total part in new share
2/8 - 1/7
1/4 - 1/7
7 - 4/28
3/28
Multiply by 2
3 × 2/28 × 2 = 6/56
Now, For D the new ratio will be
Total part in old share - Total part in new share
4/7
Multiply by 8
4 × 8/7 × 8
32/56
Ratio = 5/56 : 13/56 : 6/56 : 8/56