A, B and C are partners in a business, sharing profit in the ratio 5 : 4 : 3.…

2022

A, B and C are partners in a business, sharing profit in the ratio 5 : 4 : 3. B retires from the partnership and his share is taken by A and C in the ratio 2 : 1. What is the new profit sharing ratio between A and C?

  1. A.

    19 : 15

  2. B.

    21 : 11

  3. C.

    23 : 13

  4. D.

    37 : 29

Attempted by 5 students.

Show answer & explanation

Correct answer: C

Original shares are A:B:C = 5:4:3, so total = 12 and B’s share = 4/12. B’s share is taken by A and C in the ratio 2:1. A gets (2/3)(4/12) = 2/9 and C gets (1/3)(4/12) = 1/9. New A share = 5/12 + 2/9 = 23/36; new C share = 3/12 + 1/9 = 13/36. Hence A:C = 23:13.

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