A B and C are partners sharing profits in the ratio of 5 2 1 If the new ratio on the retirement of A...........

A, B and C are partners sharing profits in the ratio of 5 : 2 : 1. If the new ratio on the retirement of A is 3 : 2, what will be the gaining ratio?

11: 14

3 : 2

2 : 3

14 : 11

- A, B, and C share profits in the ratio 5:2:1 initially.

- A retires, leaving B and C to share the profits.

- The new profit-sharing ratio between B and C is 3:2.

- To find the gaining ratio, calculate how much each gains from A's share.

- A's share was 5/8 of the total, and this needs to be distributed to B and C.

- B's initial share was 2/8, and C's was 1/8.

- In the new setup, B's portion is 3/5 and C's is 2/5.

- Calculate the increment from their original proportions.

- B gains (3/5 - 2/8) and C gains (2/5 - 1/8).

- The simplified gaining ratio is calculated as 14:11.

Correct answer: Option 4 - 14 : 11

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