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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 a `1/4` share in the future profits.
- Danish’s capital is 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.
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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
Adjusted Capital of Anish on 1st April, 2023:
| Particulars | Amount (₹) |
| Capital as on 1st April 2020 | 3,00,000 |
| Add: Total Profit of last 3 Years | 60,000 |
| Add: Goodwill Compensation from Danish | 10,000 |
| 3,70,000 | |
| Less: Drawings of last 3 Years | 30,000 |
| 3,40,000 |
Danish’s capital contribution = `(3,40,000)/4`
= ₹ 85,000
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