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

YearProfit (Rs.)
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 of the last five years as 1,2,3,4 and 5 respectively.

Solution

✅ Correct Option: 4

To find goodwill based on weighted average profits, we need to assign weights to each year's profit and calculate the weighted average.

Assigning weights: The most recent year gets the highest weight (5) and the oldest year gets the lowest weight (1).

YearProfit (Rs.)WeightWeighted Profit (Rs.)
2012-1320,000120,000
2013-1424,000248,000
2014-1530,000390,000
2015-1625,00041,00,000
2016-1718,000590,000
Total153,48,000

Weighted Average Profit Formula:

Weighted Average Profit=Sum of Weighted ProfitsSum of Weights\text{Weighted Average Profit} = \frac{\text{Sum of Weighted Profits}}{\text{Sum of Weights}}

Weighted Average Profit=3,48,00015=23,200\text{Weighted Average Profit} = \frac{3,48,000}{15} = 23,200


Goodwill Calculation:

Goodwill=Weighted Average Profit×Number of years’ purchase\text{Goodwill} = \text{Weighted Average Profit} \times \text{Number of years' purchase}

Goodwill=23,200×3=69,600\text{Goodwill} = 23,200 \times 3 = 69,600

Therefore, Goodwill = Rs. 69,600

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