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Numerical Questions · Q13
Q.

Compute the value of goodwill on the basis of four years' purchase of the average profits based on the last five years. The profits for the last five years were as follows:

YearProfits (₹)
201540,000
201650,000
201760,000
201850,000
201960,000
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Goodwill is valued at ₹2,08,000, calculated as four years' purchase of the average profit of the last five years (₹52,000 × 4).

Concept and Treatment

Goodwill represents the intangible value of a business's reputation, customer loyalty, and earning capacity. When a firm is sold or a new partner is admitted, goodwill must be valued to compensate the existing partners for the super-profits they are giving up.

The average profit method is the simplest approach: we compute the average of past profits (after adjusting for any abnormal items) and multiply it by an agreed number of years' purchase. The logic is that a buyer would pay for the right to earn the average profit for a certain number of years into the future.

Key rule: Only normal, recurring profits are considered. Any abnormal gains (like a windfall profit from a lawsuit) or abnormal losses (like a major theft) must be adjusted out. Here, all five years show routine profits, so no adjustment is needed.

Solution

Step 1: Compute Total Profit for Five Years

YearProfit (Rs.)
201540,000
201650,000
201760,000
201850,000
201960,000
Total2,60,000

Step 2: Compute Average Profit

Average Profit = Total Profit / Number of Years

Average Profit = 2,60,000 / 5 = 52,000

Step 3: Compute Goodwill

Goodwill = Average Profit × Number of Years' Purchase …

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