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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.

CBSECBSE Class XII Board 2024Subjective· 3mImportance★★★★★
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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:

Super Profit=Average Profit−Normal Profit\text{Super Profit} = \text{Average Profit} - \text{Normal Profit}

where

Normal Profit=Capital Employed×Normal Rate of Return100\text{Normal Profit} = \text{Capital Employed} \times \frac{\text{Normal Rate of Return}}{100}

Goodwill as a Multiple of Super Profit

Goodwill is then valued as a certain number of years' purchase of super profit:

Goodwill=Super Profit×Number of Years’ Purchase\text{Goodwill} = \text{Super Profit} \times \text{Number of Years' Purchase}

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:

Capital Employed=Total Assets−Current Liabilities\text{Capital Employed} = \text{Total Assets} - \text{Current Liabilities}

Alternatively, from the liabilities side:

Capital Employed=Partners’ Capital+Reserves−Non-trade Investments (if any)\text{Capital Employed} = \text{Partners' Capital} + \text{Reserves} - \text{Non-trade Investments (if any)}

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.

Watch out

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

ParticularsAmount (₹)
Total Assets2,00,000
Less: Current LiabilitiesNil
Capital Employed2,00,000

Alternatively, from the financing side:

ParticularsAmount (₹)
Partners' Capital1,90,000
Add: Reserves10,000
Capital Employed2,00,000

Working Note 2: Normal Profit

Normal Rate of Return = 10%

Normal Profit=Capital Employed×Normal Rate100=2,00,000×10100=₹20,000\text{Normal Profit} = \text{Capital Employed} \times \frac{\text{Normal Rate}}{100} = 2,00,000 \times \frac{10}{100} = ₹20,000


Working Note 3: Super Profit

Goodwill is valued at 4 years' purchase of super profit, and the goodwill is given as ₹60,000. …

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