A, B, C share profit and loss as 4:3:2 retires and the new ratio of A and Cis1:1 calculate the gain ratio
Answers
Step-by-step explanation:
Old profit sharing ratio of A,B,C = 4:3:2
New profit sharing ratio of A,C = 1:1
Gain Ratio = New ratio - old ratio
A = 1/2 - 4/9
= 9-8/18
A= 1/18
C = 1/2 - 2/9
= 9-4/18
C= 5/18
Therefore, the gain ratio of A and B is 1:5
Given:
The profit-sharing ratio of A, B, and C=4:3:2
The new ratio of A and C=1:1
To find:
The gaining ratio of A and C
Solution:
The gaining ratio of A and C is 1:5.
We can find the ratio by following the given steps-
We know that the gaining ratio is the difference between the new and old profit sharing ratio of the partners.
So, gaining ratio=New profit-sharing ratio- Old profit-sharing ratio
The old profit-sharing ratio of A, B, and C=4:3:2
After B retires, the new profit-sharing ratio of A and C is 1:1.
The old ratio of A=4/9
The old ratio of C=2/9
Now, we will calculate the gaining ratio of A and C.
The gaining ratio of A=New ratio of A-Old ratio of A
=1/2-4/9
=(9-8)/18
=1/18
Similarly, the gaining ratio of C= New ratio of C-Old ratio of C
=1/2-2/9
=(9-4)/18
=5/18
The gaining ratio of A and C=1/18:5/18
=1:5
Therefore, the gaining ratio of A and C is 1:5.