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Illustrations · Illustration 2

Q.Akshay and Bharati are partners sharing profits in the ratio of 3:2. They admit Dinesh as a new partner for 1/5th share in the future profits of the firm which he gets equally from Akshay and Bharati. Calculate new profit sharing ratio of Akshay, Bharati and Dinesh.

Sikkim CbseNCERTSubjectiveImportance★★★★★
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✓ Free question

Since Dinesh takes his 1/5 share equally from both old partners, each sacrifices 1/10, giving a new ratio of Akshay : Bharati : Dinesh = 5 : 3 : 2.

Concept

When the problem states that the new partner gets his share equally from the old partners, the sacrifice is an equal amount from each old partner, not a sacrifice in the old ratio. This is a common variation in NCERT Class 12 goodwill and new-ratio problems, and the key is to split the incoming partner's share into equal halves and deduct one half from each old partner's old share.

Working Notes

  • Dinesh's share = 1/5 = 2/10.
  • Shared equally, so sacrifice by Akshay = 1/10 and sacrifice by Bharati = 1/10.
  • New share of an old partner = Old share - Share sacrificed.

Solution

PartnerCalculationNew Share
Akshay3/5 - 1/10 = 6/10 - 1/105/10
Bharati2/5 - 1/10 = 4/10 - 1/103/10
Dineshgiven2/10
Watch out

Do not divide Dinesh's share in the old 3:2 ratio here. "Equally from Akshay and Bharati" means an equal amount (1/10 each), which is different from a sacrifice in the old ratio.

✓Final answer

New profit sharing ratio of Akshay : Bharati : Dinesh = 5 : 3 : 2.

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