Ram and Rahim are partners sharing profits and losses in the ratio of 5:3. They admit Rahul who will receive 1/4th share in future profits which he receives equally from A and B. Calculate new ratio and sacrificing ratio?
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Answer:
New profit sharing ratio = A : B : C = 2 : 1 : 1
Sacrificing ratio = A : B = 1 : 1
Explanation:
Given:-
Ram and Rahim are partners sharing profits and losses in the ratio of 5:3.
Rahul is admitted who received 1/4 th share in future profits
To Find:-
New ratio and sacrificing ratio
Solution:-
They admit C who will receive 1/4th share in future profits.
C's Share = 1/4
Which he receives equally from A and B.
A's Sacrifice = 1/4 × 1/2 = 1/8
B's Sacrifice = 1/4 × 1/2 = 1/8
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New profit sharing ratio :
A's new share =
⇒ 5/8 - 1/8 = 4/8
B's new share =
⇒ 3/8 - 1/8 = 2/8
C's share =
⇒ 1/4 × 2/2 = 2/8
New profit sharing ratio = A : B : C = 4/8 : 2/8 : 2/8
⇒ 4 : 2 : 2
= 2 : 1 : 1
New profit sharing ratio =
A : B : C = 2 : 1 : 1
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Sacrificing ratio :
• A's Sacrifice = 1/8
• B's Sacrifice = 1/8
A : B = 1/8 : 1/8
⇒ 1 : 1
Therefore,
New profit sharing ratio =
A : B : C = 2 : 1 : 1
Sacrificing ratio = A : B = 1 : 1
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