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The profit for the five years of a firm are as follows – year 2013 Rs. 4,00,000; year 2014 Rs. 3,98,000; year 2015 Rs. 4,50,000; year 2016 Rs. 4,45,000 and year 2017 Rs. 5,00,000. The goodwill of the firm on the basis of 4 years purchase of 5 years average profits is-

Solution

✅ Correct Option: 3

Given Information:

  • Profits for 5 years (2013-2017)
  • Goodwill basis: 4 years' purchase of 5 years' average profits

Calculating Average Profit:

Total Profits = Rs. 4,00,000 + Rs. 3,98,000 + Rs. 4,50,000 + Rs. 4,45,000 + Rs. 5,00,000 = Rs. 21,93,000

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


Calculating Goodwill:

Goodwill = Average Profit × Number of Years' Purchase

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

The term "4 years' purchase" means the average profit is multiplied by 4 to arrive at the goodwill value. This represents the number of years' profit that a buyer is willing to pay as a premium for acquiring the business.

2025: 13 May Shift 2

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