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Illustrations · Illustration 15
Q.
  1. The goodwill of a firm is to be worked out at three years' purchase of the average profits of the last five years which are as follows:
YearsProfits (Loss) (₹)
201210,000
201315,000
20144,000
2015(5,000)
20166,000
  1. The capital of the firm is ₹1,00,000 and normal rate of return is 8%, the average profits for last 5 years are ₹12,000 and goodwill is to be worked out at 3 years' purchase of super profits,

  2. Rama Brothers earn an average profit of ₹30,000 with a capital of ₹2,00,000. The normal rate of return in the business is 10%. Using capitalisation of super profits method work out the value the goodwill of the firm.

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Part 1 (average profits, 3 years' purchase) = ₹18,000; Part 2 (super profits, 3 years' purchase) = ₹12,000; Part 3 (capitalisation of super profits) = ₹1,00,000.

Concept

This three-part NCERT Class 12 goodwill valuation exercise contrasts the three standard approaches on separate data sets. Part 1 shows the Average Profits Method, where a loss year must be subtracted while totalling. Part 2 shows the Super Profits Method using a small number of years' purchase. Part 3 shows the Capitalisation of Super Profits Method, where the super profit is treated as a perpetual return and multiplied by 100 ÷ normal rate — which is why it produces a much larger figure than a 3-year purchase would.

Working Notes

  • Part 1: Average Profit = Total Profits (losses subtracted) ÷ Number of years; Goodwill = Average Profit × years' purchase.
  • Part 2: Normal Profit = Capital × Normal Rate ÷ 100; Super Profit = Average Profit − Normal Profit; Goodwill = Super Profit × years' purchase.
  • Part 3: Goodwill = Super Profit × 100 ÷ Normal Rate of Return.

Solution

Part 1 — Average Profits Method

YearsProfit / (Loss) (₹)
201210,000
201315,000
20144,000
2015(5,000)
20166,000
Total30,000

Average Profit = ₹30,000 ÷ 5 = ₹6,000

Goodwill = ₹6,000 × 3 = ₹18,000

Part 2 — Super Profits Method (3 years' purchase)

ParticularsAmount (₹)
Normal Profit (₹1,00,000 × 8%)8,000
Average Profit12,000

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