A, B and C share the profits and losses in the ratio of 3 : 2 : 1. D is admitted. he gets 1/6 share entirely from A. calculate new profit sharing ratio
Answers
Given :- A, B and C share the profits and losses in the ratio of 3 : 2 : 1. D is admitted. he gets 1/6 share entirely from A. calculate new profit sharing ratio ?
Solution :-
Let us assume that, the initial profit/loss of A , B and C are 3x , 2x and x respectively .
now,
→ D gets = (1/6) of A = (1/6) of 3x = (x/2) .
so,
→ Profit/Loss left with A = 3x - (x/2) = (6x - x)/2 = (5x/2) .
then,
→ A : B : C : D = (5x/2) : 2x : x : (x/2)
taking LCM,
→ A : B : C : D = 5x : 2x * 2 : x * 2 : x
→ A : B : C : D = 5x : 4x : 2x : x
→ A : B : C : D = 5 : 4 : 2 : 1 (Ans.)
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Given : A, B and C share the profits and losses in the ratio of 3 : 2 : 1.
D is admitted. he gets 1/6 share entirely from A.
To Find : new profit sharing ratio
Solution:
A : B : C = 3 : 2 : 1
multiply with 2k
=> A share = 6K
B share = 4K
C share = 2K
D is admitted. he gets 1/6 share entirely from A
=> D gets = (1/6)6K = K
A' s remaining share = 6K - K = 5K
B and C amount unchanged :
A share = 5K
B share = 4K
C share = 2K
D share = K
A : B : C : D = 5K : 4K : 2K : K
=> A : B : C : D = 5 : 4 : 2 : 1
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