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Practical Problems · Q5

Q.The profits of a firm for the last five years were: 2021 – ₹40,000; 2022 – ₹50,000; 2023 – ₹45,000; 2024 – ₹60,000; 2025 – ₹55,000. Goodwill is to be valued at 2 years' purchase of the average profit of the last five years. Calculate the value of goodwill.

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✓ Free question

Step 1 — Total profit of the five years:

₹40,000 + ₹50,000 + ₹45,000 + ₹60,000 + ₹55,000 = ₹2,50,000.

Step 2 — Average profit:

Average Profit = Total Profit ÷ Number of Years = ₹2,50,000 ÷ 5 = ₹50,000.

Step 3 — Goodwill at 2 years' purchase:

Goodwill = Average Profit × Number of Years' Purchase = ₹50,000 × 2 = ₹1,00,000.

(Independent check: adding the five profits in a different order — (40,000 + 55,000) + (50,000 + 45,000) + 60,000 = 95,000 + 95,000 + 60,000 = 2,50,000 — confirms the total; dividing by 5 again gives 50,000, and doubling gives 1,00,000, matching Step 3.)

✓Final answer

Average profit = ₹50,000; Goodwill at 2 years' purchase = ₹50,000 × 2 = ₹1,00,000.

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