A b and Care partner sharing profit in the ratio of 5 ratio 3 ratio 2 calculate the new profit sharing ratio and the sacrificing ratio in each of the following case case 1 IF C acquires 1/5th share from A.case 2 IFC acquire 1/ 5th share equally from a and b.?

Question

Answer

Case 1: C acquires 1/5th share from A

Step 1: Calculate the new profit sharing ratio
The new profit sharing ratio will be the ratio in which the remaining partners (B and C) will share the profit after C acquires 1/5th share from A.

Given:
Initial profit sharing ratio between A, B, and C = 5:3:2

Let's assume the total profit is P.

A's initial share = (5/10) * P = (1/2) * P
C acquires 1/5th share from A, which means C gets (1/5) * (1/2) * P = (1/10) * P
So, A's new share = (1/2) * P - (1/10) * P = (4/10) * P

B's initial share = (3/10) * P
C's initial share = (2/10) * P

Therefore, the new profit sharing ratio between A, B, and C will be:
A:B:C = (4/10) * P : (3/10) * P : (2/10) * P
Simplifying, we get:
A:B:C = 4:3:2

Step 2: Calculate the sacrificing ratio
The sacrificing ratio is the ratio in which the partner(s) give up their share in the new profit sharing ratio.

In this case, A is the partner who gives up his share. So, the sacrificing ratio will be the ratio of A's initial share to the difference between his initial share and his new share.

Initial share of A = (5/10) * P = (1/2) * P
New share of A = (4/10) * P

The sacrificing ratio of A = Initial share of A : (Initial share of A - New share of A)
= (1/2) * P : [(1/2) * P - (4/10) * P]
= (1/2) * P : (1/10) * P
= 5:1

Therefore, the sacrificing ratio of A in this case is 5:1.

Case 2: C acquires 1/5th share equally from A and B

Step 1: Calculate the new profit sharing ratio
The new profit sharing ratio will be the ratio in which the remaining partners (A and B) will share the profit after C acquires 1/5th share equally from A and B.

Given:
Initial profit sharing ratio between A, B, and C = 5:3:2

Let's assume the total profit is P.

C acquires 1/5th share equally from A and B, which means C gets (1/5) * P/2 = (1/10) * P from A and (1/5) * P/2 = (1/10) * P from B.
So, A's new share = (5/10) * P - (1/10) * P = (4/10) * P
B's new share = (3/10) * P - (1/10) * P = (2/10) *

Answer

Case 1
new ratio 3/10: 3/10:4/10or3:3:4
A sacrifice 1/5,C gained1/5
Case 2
new ratio 4/10:2/10:4/10 or 4:2:4
sacrifice ratio between a and b 1/10 : 1/10 or 1:1

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