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The profit for the five years of a firm are as follows:

YearProfit (Rs.)
20134,00,000
20143,98,000
20154,50,000
20164,45,000
20175,00,000

Calculate goodwill of the firm on the basis of 4 years purchase of 5 years average profits.

Solution

✅ Correct Option: 2

The goodwill is calculated using the formula:

Goodwill = Average Profit × Number of Years' Purchase


Calculating Average Profit:

Total Profit = Rs. 4,00,000 + Rs. 3,98,000 + Rs. 4,50,000 + Rs. 4,45,000 + Rs. 5,00,000

Total Profit = Rs. 21,93,000

Average Profit = Total ProfitNumber of Years\frac{\text{Total Profit}}{\text{Number of Years}} = Rs. 21,93,0005\frac{\text{Rs. 21,93,000}}{5} = Rs. 4,38,600


Calculating Goodwill:

Number of Years' Purchase = 4 years

Goodwill = Rs. 4,38,600 × 4 = Rs. 17,54,400

The 4 years' purchase means the goodwill is valued at 4 times the average annual profit. This represents the price a buyer would pay for the firm's reputation and established customer base, calculated as four years' worth of the average profits earned.

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