Q.Rajan and Rajani are partners in a firm. Their capitals were Rajan ₹3,00,000; Rajani ₹2,00,000. During the year 2015 the firm earned a profit of ₹1,50,000. Calculate the value of goodwill of the firm by capitalisation method assuming that the normal rate of return is 20%?
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Start your 14-day free trial to unlock the full solution →Goodwill of the firm = ₹2,50,000, calculated using the Capitalisation of Average Profit method: Capitalised Value of Average Profit (₹7,50,000) minus Actual Capital Employed (₹5,00,000).
Concept First: Why This Method?
Goodwill represents the firm's ability to earn super profits — profits above what a normal business in the same industry would earn with the same capital. The Capitalisation Method answers: "If the firm's actual profit is the 'normal' return, how much capital would be needed to earn it?" That imaginary capital is the Capitalised Value of the profit. The difference between this value and the Actual Capital Employed (the money partners have actually put in) is the goodwill — the extra earning power that isn't on the books.
Key rule: We capitalise the average profit (here, only one year's profit is given, so that is the average). The formula is:
Goodwill = (Average Profit / Normal Rate of Return) – Actual Capital Employed
The normal rate of return (20%) is the benchmark. If the firm earns ₹1,50,000, a normal business with ₹5,00,000 capital would earn only ₹1,00,000 (20% of 5,00,000). The extra ₹50,000 is super profit, and capitalising that gives the same goodwill (₹2,50,000) — but the direct capitalisation of total profit is the method asked.
Solution: Step-by-Step
Step 1: Compute Actual Capital Employed
Capital employed is the total of partners' fixed capitals (assuming no reserves, loans, or accumulated profits are mentioned — we use only the given capitals).
| Partner | Capital (Rs.) |
|---|---|
| Rajan | 3,00,000 |
| Rajani | 2,00,000 |
| Total | 5,00,000 |
In the absence of any other information (like reserves, accumulated profits, or fictitious assets), capital employed = sum of partners' capital accounts.
Step 2: Compute Capitalised Value of Average Profit
Average profit for the year = ₹1,50,000 (only one year given).
Capitalised Value = Average Profit / Normal Rate of Return
= 1,50,000 / 20%
= 1,50,000 × (100 / 20)
= 1,50,000 × 5
= ₹7,50,000
Step 3: Compute Goodwill
Goodwill = Capitalised Value – Actual Capital Employed
= 7,50,000 – 5,00,000
= ₹2,50,000
Working Notes (Numbered) …
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