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Ranjan and Anjan were Partners in a firm sharing profits and losses in 3:2. they admitted Sanjan for 1/4 share of profit on 1 Jan 2024.

Goodwill of the firm will be valued at 3 years purchase of average profit of last 4 years which were

2024: Rs. 80,000

2023: Rs. 1,40,000.

2022: Rs. 2,00,000

2021: Rs. 1,60,000

The goodwill of the reconstituted firm will be

Solution

✅ Correct Option: 3

Average profit is calculated by taking the sum of profits of the last 4 years and dividing by 4.

Total profit of 4 years = Rs. 80,000 + Rs. 1,40,000 + Rs. 2,00,000 + Rs. 1,60,000 = Rs. 5,80,000

Average profit = Total profit of 4 years4\frac{\text{Total profit of 4 years}}{4} = 5,80,0004\frac{5,80,000}{4} = Rs. 1,45,000


Goodwill is valued at 3 years' purchase of average profit.

Goodwill = Average profit × Number of years' purchase

Goodwill = Rs. 1,45,000 × 3 = Rs. 4,35,000

The goodwill of the reconstituted firm is Rs. 4,35,000.

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