- 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:
| Years | Profits (Loss) (₹) |
|---|---|
| 2012 | 10,000 |
| 2013 | 15,000 |
| 2014 | 4,000 |
| 2015 | (5,000) |
| 2016 | 6,000 |
-
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,
-
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.
You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.
Start your 14-day free trial to unlock the full solution →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
| Years | Profit / (Loss) (₹) |
|---|---|
| 2012 | 10,000 |
| 2013 | 15,000 |
| 2014 | 4,000 |
| 2015 | (5,000) |
| 2016 | 6,000 |
| Total | 30,000 |
Average Profit = ₹30,000 ÷ 5 = ₹6,000
Goodwill = ₹6,000 × 3 = ₹18,000
Part 2 — Super Profits Method (3 years' purchase)
| Particulars | Amount (₹) |
|---|---|
| Normal Profit (₹1,00,000 × 8%) | 8,000 |
| Average Profit | 12,000 |
Unlock everything free for 14 days
- Full step-by-step solutions
- Concept-first explanations
- Methods, shortcuts & mistakes
- PYQ mapping + timed mock tests
Full access for 14 days. No credit card required.