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Q.Anil and Vishal are partners sharing profits in the ratio of 3:2. They admitted Sumit as a new partner for 1/5 share in the future profits of the firm. Calculate new profit sharing ratio of Anil, Vishal and Sumit.

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✓ Free question

Using the default rule (new partner takes his share from the old partners in their old ratio), the new ratio of Anil : Vishal : Sumit is 12 : 8 : 5.

Concept

This is a standard CBSE Class 12 Accountancy admission-of-a-partner problem on computing the new profit sharing ratio. When a new partner is admitted, his share is carved out of the old partners' shares. The question does not state how Sumit acquires his 1/5 share, so the accepted assumption is that he takes it from Anil and Vishal in their old profit sharing ratio of 3:2. The practical effect is simple: whatever profit is left after Sumit's share is still divided between the old partners in 3:2.

Working Notes

  • Sumit's share = 1/5.
  • Remaining share for the old partners = 1 - 1/5 = 4/5.
  • This 4/5 is divided between Anil and Vishal in their old ratio 3:2.

Solution

PartnerCalculationNew Share
Anil3/5 of 4/512/25
Vishal2/5 of 4/58/25
Sumitgiven1/5 = 5/25

Expressing all shares over the common denominator 25: Anil 12/25, Vishal 8/25, Sumit 5/25.

Note

It has been assumed that Sumit acquired his share from the old partners in their old ratio, since the problem is silent on this point.

✓Final answer

New profit sharing ratio of Anil : Vishal : Sumit = 12 : 8 : 5.

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