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Question
Vinay and Naman are partners sharing profits in the ratio of 4 : 1. Their capitals were ₹ 90,000 and ₹ 70,000 respectively. They admitted Prateek for 1/3 share in the profits. Prateek brought ₹ 1,00,000 as his capital. Calculate the value of firm's goodwill.
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Solution
Prateek's Capital =₹1,00,000
Capitalised Value of the firm = (Prateek's Capital x Reciprocal of his share of profits) = ₹(1,00,000 x 3) = ₹3,00,000
Net Worth of the firm =Total Capital of all the Partners (including the new partner) =₹(90,000 +70,000+1,00,000)= ₹ 2,60,000
Hidden Goodwill=(Capitalised Value of the firm - Net Worth of the firm) = ₹ ( 3,00,000 - 2,60,000) = ₹40,000
Thus, Value of firm's Goodwill is ₹40,000.
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