The profits of the firm for the five years are as follows:
Year Profit (Rs.) 2012-13 20,000 2013-14 24,000 2014-15 30,000 2015-16 25,000 2016-17 18,000
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.
The profits of the firm for the five years are as follows:
| Year | Profit (Rs.) |
|---|---|
| 2012-13 | 20,000 |
| 2013-14 | 24,000 |
| 2014-15 | 30,000 |
| 2015-16 | 25,000 |
| 2016-17 | 18,000 |
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).
| Year | Profit (Rs.) | Weight | Weighted Profit (Rs.) |
|---|---|---|---|
| 2012-13 | 20,000 | 1 | 20,000 |
| 2013-14 | 24,000 | 2 | 48,000 |
| 2014-15 | 30,000 | 3 | 90,000 |
| 2015-16 | 25,000 | 4 | 1,00,000 |
| 2016-17 | 18,000 | 5 | 90,000 |
| Total | 15 | 3,48,000 |
Weighted Average Profit Formula:
Goodwill Calculation:
Therefore, Goodwill = Rs. 69,600
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