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Q.Dhruv and Seema were partners in a firm sharing profits and losses in the ratio of 2 : 3. Their capitals were ₹ 18,00,000 and ₹ 12,00,000 respectively. The normal rate of return was 15%. The profits of the last four years were : (₹) 2021 – 22 | 7,75,000 2022 – 23 | 5,00,000 2023 – 24 | (75,000) 2024 – 25 | 7,00,000 The closing stock for the year 2024 – 25 was undervalued by ₹ 1,00,000. Goodwill of the firm is to be valued at three years' purchase of last four years' average super-profits. Calculate the value of goodwill of the firm.

CBSECBSE Class XII Board 2026Subjective· 3mImportance★★★★★
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Goodwill of the firm is ₹1,50,000, valued at three years' purchase of average super-profit of ₹50,000 per annum (average profit ₹5,00,000 less normal profit ₹4,50,000).


Concept: Valuation of Goodwill by the Super-Profit Method

Goodwill under the super-profit method captures a firm's ability to earn above the normal return on its capital employed.

  1. Normal Profit = Capital Employed × Normal Rate of Return.
  2. Average Actual Profit = average of past years' profits, adjusted for any errors.
  3. Super Profit = Average Actual Profit − Normal Profit.
  4. Goodwill = Super Profit × Number of Years' Purchase.
Watch out

Adjust past profits for errors before averaging. Closing stock undervalued by ₹1,00,000 means that year's profit was understated by ₹1,00,000, so add it back.


Solution

Working Note 1: Adjusted Profit for 2024–25

Profit as given = ₹7,00,000. Add back the ₹1,00,000 stock undervaluation:

Adjusted profit (2024–25) = 7,00,000 + 1,00,000 = ₹8,00,000.

Working Note 2: Average Actual Profit (last four years)

YearProfit (₹)Adjustment (₹)Adjusted Profit (₹)
2021–227,75,000—7,75,000
2022–235,00,000—5,00,000
2023–24(75,000)—(75,000)
2024–257,00,000+1,00,0008,00,000
Total20,00,000

Average Actual Profit = 20,00,000 ÷ 4 = ₹5,00,000.

Working Note 3: Capital Employed

Capital Employed = 18,00,000 + 12,00,000 = ₹30,00,000. …

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