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A and B share profits in the ratio 3:2. C is admitted as a partner for a 1/4 share of profits. If A and B surrender C’s share in their old ratio, what will be the new profit-sharing ratio?

Answer and explanation

Correct answer: A : B : C = 9 : 6 : 5

After C receives 1/4 of the profit, 3/4 remains for A and B. This remainder is divided in their old ratio of 3:2. Thus, A’s new share is 3/4 × 3/5 = 9/20, B’s new share is 3/4 × 2/5 = 6/20, and C’s share is 1/4 = 5/20. Therefore, the new ratio is 9:6:5. Exam tip: Subtract the incoming partner’s share from 1, then distribute the remainder in the old ratio.

Related tags

Admission Of A PartnerNew Profit Sharing RatioOld RatioSacrifice RatioClass 12 AccountancyReconstitution Admission Of A PartnerAccountancyClass 12 Mcq

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