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A, B, C and D share profits and losses in the ratio 5:1:2:2. D retires, and the remaining partners acquire D’s share in the ratio 2:1:1. What will be the new profit-sharing ratio of A, B and C?

Answer and explanation

Correct answer: 12:3:5

The total ratio is 10, so D’s share is 2/10. A, B and C acquire this share in the ratio 2:1:1; therefore, their gains are 1/10, 1/20 and 1/20 respectively. Their new shares are A = 5/10 + 1/10 = 6/10, B = 1/10 + 1/20 = 3/20 and C = 2/10 + 1/20 = 5/20. Converting them to a common denominator gives 12:3:5. Exam tip: on retirement, distribute the retiring partner’s share according to the gaining ratio, not the old profit-sharing ratio.

Related tags

Retirement Of PartnerNew RatioGaining RatioPartnership AccountsNew RatiosReconstitution Retirement Or Death Of A PartnerAccountancyClass 12 Mcq

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