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A and B share profits in the ratio 5:3. The new partner C is admitted for a 3/16 share of profits. A and B sacrifice C’s share in their old profit-sharing ratio. What will be the new profit-sharing ratio?

Answer and explanation

Correct answer: 65:39:24

After C receives 3/16, the total share left for A and B is 13/16. Dividing this in their old ratio of 5:3 gives A’s share as (13/16) × (5/8) = 65/128 and B’s share as (13/16) × (3/8) = 39/128. C’s share is 3/16 = 24/128. Therefore, the new ratio is 65:39:24. Exam tip: Subtract the incoming partner’s share from 1, then distribute the balance among the old partners in their old ratio.

Related tags

Admission Of PartnerNew Profit Sharing RatioSacrifice RatioPartnership AccountsReconstitution Admission Of A PartnerAccountancyClass 12 Mcq

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