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Illustrations · Illustration 9
Q.

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

YearProfit (₹)
20134,00,000
20143,98,000
20154,50,000
20164,45,000
20175,00,000
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✓ Free question

Add the five years' profits (₹21,93,000), divide by 5 to get the average profit of ₹4,38,600, then multiply by 4 years' purchase to get goodwill of ₹17,54,400.

Concept

This is a standard CBSE Class 12 Accountancy goodwill-valuation problem using the Average Profits Method. The idea is that a person buying into a running business is really paying for the profits the business is expected to keep earning in the next few years. The best estimate of those future profits is the average of the recent past profits, and goodwill is that average multiplied by an agreed number of "years' purchase" (here, 4). No trend or weighting is applied — this is a simple average because the question does not ask for weights.

Working Notes

Average Profit = Total Profits of the given years ÷ Number of years.

Goodwill = Average Profit × Number of Years' Purchase.

Solution

YearProfit (₹)
20134,00,000
20143,98,000
20154,50,000
20164,45,000
20175,00,000
Total21,93,000

Average Profit = ₹21,93,000 ÷ 5 = ₹4,38,600

Goodwill = ₹4,38,600 × 4 = ₹17,54,400

✓Final answer

Goodwill of the firm = ₹17,54,400.

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