Q.On 1st April, 2023, a partnership firm had assets of ₹2,00,000 including cash of ₹6,000 and bank balance of ₹14,000. The partners' capital accounts showed a balance of ₹1,90,000 and reserves constituted the rest. If the normal rate of return is 10% and the goodwill of the firm is valued at ₹60,000 at 4 years purchase of super profits, find the average profits 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 →The average profits of the firm are ₹35,000 per annum.
Concept: Valuation of Goodwill by Super Profit Method
Goodwill represents the value of a firm's reputation and its ability to earn profits above the normal return expected from the capital employed. When goodwill is valued using the Super Profit Method, we recognize that a firm's true worth lies not just in its tangible assets but in its capacity to generate excess earnings.
Understanding Super Profit
Normal Profit is what any business with similar capital should earn at the prevailing market rate of return. If a firm earns more than this normal profit, the excess is called Super Profit — the reward for superior management, location, brand, or customer loyalty.
The formula is:
where
Goodwill as a Multiple of Super Profit
Goodwill is then valued as a certain number of years' purchase of super profit:
In this question, we are given the goodwill and the number of years' purchase, and we need to work backwards to find the average profit.
Accounting Treatment: Capital Employed
Capital Employed is the net investment in the business — the funds actually used to generate profits. It is calculated as:
Alternatively, from the liabilities side:
In this problem, we are told:
- Total Assets = ₹2,00,000
- Partners' Capital = ₹1,90,000
- Reserves = Total Assets − Partners' Capital = ₹2,00,000 − ₹1,90,000 = ₹10,000
Since no current liabilities or external liabilities are mentioned, the entire ₹2,00,000 of assets is financed by the partners' funds (capital + reserves). Hence, Capital Employed = ₹2,00,000.
A common mistake is to take only the Partners' Capital (₹1,90,000) as capital employed, ignoring reserves. Reserves are part of the proprietors' funds and must be included in capital employed for profit calculation purposes.
Solution
Working Note 1: Capital Employed
| Particulars | Amount (₹) |
|---|---|
| Total Assets | 2,00,000 |
| Less: Current Liabilities | Nil |
| Capital Employed | 2,00,000 |
Alternatively, from the financing side:
| Particulars | Amount (₹) |
|---|---|
| Partners' Capital | 1,90,000 |
| Add: Reserves | 10,000 |
| Capital Employed | 2,00,000 |
Working Note 2: Normal Profit
Normal Rate of Return = 10%
Working Note 3: Super Profit
Goodwill is valued at 4 years' purchase of super profit, and the goodwill is given as ₹60,000. …
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.