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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
RELATED QUESTIONS
Vikas, Vishal and Vaibhav were partners in a firm sharing profits in the ratio of 2:2:1. The firm closes its books 31st March every year. On 31-12-2015 Vaibhav died. On that date his Capital account showed a credit balance of Rs. 3, 80,000 and Goodwill of the firm was valued at 1, 20,000. There was a debit balance of Rs. 50,000 in the profit and loss account. Vaibhav's share of profit in the year of his death was to be calculated on the basis of the average profit of last five years. The average profit of last five years was Rs. 75,000.
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