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Question
On 1st April, 2020, Anish started a business with a capital of ₹ 3,00,000.
During the three years ending 31st March, 2023, the results of his business were:
Year | (₹) | |
2020-21 | Loss | 20,000 |
2021-22 | Profit | 34,000 |
2022-23 | Profit | 46,000 |
From the year 2020-21 to the year 2022-23, Anish withdrew ₹ 30,000 from the firm for his personal use.
On 1st April, 2023, he admitted Danish into partnership on the following terms:
- Goodwill of the firm to be valued at two years' purchase of the average profits of the last three years.
- Danish to have 1/4 share in the future profits.
- Danish's capital to be equal to 1/4 of Anish's capital determined on 1st April, 2023, after the goodwill compensation has been taken into account.
You are required to give:
- The formula to calculate goodwill by the Average Profit Method.
- The value of self-generated goodwill of the firm.
- Danish's capital contribution.
Solution
i.
Formula to calculate goodwill by Average Profit method: `"Average Profit"=("Total profits of given years")/("Total number of years")`
Goodwill = Average profit × Number of years purchase
ii.
Calculation of value of self generated goodwill
`"Average Profit" = ("Loss of (2020−21) + Profit of (2021−22) + Profit of (2022−23)")/3`
`= ((20,000) + 34,000 + 46,000)/3`
`= (80,000 - 20,000)/3`
`= (60,000)/3`
= ₹ 20,000
Average profit = ₹ 20,000
No. of years purchase = 2
Goodwill = 20,000 × 2
= ₹ 40,000
iii.
Calculation of Danish's Capital contribution
Danish's share of goodwill = `40,000xx1/4` = ₹ 10,000
Anish's capital on 31st March 2023 = Opening capital − loss of (2020-21) + Profit of (2021-22) + Profit of (2022-23) − Drawings
= 3,00,000 − 20,000 + 34,000 + 46,000 − 30,000
= ₹ 3,30,000
Anish's capital on 1st April 2023 after goodwill compensation has been accounted = 3,30,000 + 10,000
= ₹ 3,40,000
Danish's capital contribution = `(3,40,000)/4`
= ₹ 85,000
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