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A and B are partners in a firm, their capital are ₹ 10,000 and ₹ 20,000 and undistributed reserves ₹…

Based on C's capital of ₹ 20,000 for a \(\frac{1}{4}\) share, the implied total capital of the new firm is \(₹\,20{,}000 \times 4 = ₹\,80{,}000\). Subtracting the combined…

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A and B are partners in a firm, their capital are ₹ 10,000 and ₹ 20,000 and undistributed reserves ₹ 10,000. They admitted C for 1/4th share. C brought ₹ 20,000 as his capital. Find the value of firms goodwill -

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Correct answer B

Based on C's capital of ₹ 20,000 for a 14\frac{1}{4} share, the implied total capital of the new firm is ₹ 20,000×4=₹ 80,000₹\,20{,}000 \times 4 = ₹\,80{,}000. Subtracting the combined actual capital of all partners including undistributed reserves (₹ 10,000+₹ 20,000+₹ 10,000+₹ 20,000=₹ 60,000₹\,10{,}000 + ₹\,20{,}000 + ₹\,10{,}000 + ₹\,20{,}000 = ₹\,60{,}000) gives hidden goodwill of ₹ 80,000−₹ 60,000=₹ 20,000₹\,80{,}000 - ₹\,60{,}000 = ₹\,20{,}000.

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