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Illustrations · Illustration 10
Q.

The profits of firm for the five years are as follows:

YearProfit (₹)
2012–1320,000
2013–1424,000
2014–1530,000
2015–1625,000
2016–1718,000

Calculate the value of goodwill on the basis of three years' purchase of weighted average profits based on weights 1, 2, 3, 4 and 5 respectively.

Madhya Pradesh MpbseTextbookSubjectiveImportance★★★★★
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Multiply each year's profit by its weight, total the products (₹3,48,000), divide by the total of the weights (15) to get a weighted average profit of ₹23,200, then multiply by 3 years' purchase for goodwill of ₹69,600.

Concept

This illustration applies the Weighted Average Profits Method of valuing goodwill, a common variant in the NCERT Class 12 goodwill treatment. When profits are rising or falling in a clear trend, a plain average treats a five-year-old profit as importantly as last year's — which is misleading. Assigning higher weights to more recent years gives a figure that better reflects the firm's likely future earning power. The textbook notes the weighted average should be used only when the question specifies weights, as it does here.

Working Notes

Weighted Average Profit = Total of (Profit × Weight) ÷ Total of Weights.

Goodwill = Weighted Average Profit × Number of Years' Purchase.

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