B P and L sharing profits in the ratio 4 3 2 B retires P and L decided to share profits in future in...........

B, P and L sharing profits in the ratio 4:3:2. B retires, P and L decided to share profits in future in the ratio of 5 : 3. Gaining ratio will be :

11 : 21

21 : 11

11 : 13

13 : 11

- Initially, B, P, and L share profits in the ratio 4:3:2.

- B retires. P and L change their profit-sharing ratio to 5:3.

- We need to find the gaining ratio for P and L after B retires.

- P's old share: 3/(4+3+2) = 3/9 = 1/3.

- L's old share: 2/(4+3+2) = 2/9.

- P's new share: 5/(5+3) = 5/8.

- L's new share: 3/(5+3) = 3/8.

- Gaining for P: 5/8 - 1/3 = 15/24 - 8/24 = 7/24.

- Gaining for L: 3/8 - 2/9 = 27/72 - 16/72 = 11/72.

- Simplify gaining ratio of P:L = 7/24 : 11/72 = 21:11.

Correct Answer: Option 2 - 21:11

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