Question

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​

Answer 1

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

Answer 2

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.