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Weighted average profit is ₹72,000 and years' purchase is 2.5. The new partner takes a 1/6 share. What is his premium?

Answer and explanation

Correct answer: ₹30,000

The governing concept is valuation of goodwill by the weighted-average-profit method and determination of the incoming partner’s premium. First, total goodwill equals weighted average profit multiplied by years’ purchase: ₹72,000 × 2.5 = ₹1,80,000. Since the new partner acquires one-sixth of the firm’s goodwill, his premium is ₹1,80,000 × 1/6 = ₹30,000. Therefore, option A is correct. Option B is the entire goodwill, not the incoming partner’s share. Option C incorrectly divides the profit by six without applying years’ purchase, while option D merely repeats the average profit and ignores the valuation period and the partner’s fraction.

Related tags

Weighted Average ProfitGoodwill ValuationNew Partner PremiumGoodwill AccountingReconstitution Admission Of A PartnerAccountancyClass 12 Mcq

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