Step 1: Calculate Average Profit for Last 4 Years
₹ (3,00,000 + 4,00,000 + 5,00,000 + 4,00,000) ÷ 4 = ₹ 4,00,000
Step 2: Calculate Normal Profit
Capital Employed = ₹ 12,00,000
Normal Rate of Return = 10%
Normal Profit = 10% of ₹ 12,00,000 = ₹ 1,20,000
Step 3: Calculate Super Profit
Super Profit = Average Profit – Normal Profit = ₹ 4,00,000 – ₹ 1,20,000 = ₹ 2,80,000
Step 4: Calculate Goodwill
Goodwill = 3 × Super Profit = 3 × ₹ 2,80,000 = ₹ 8,40,000
Note: Partner salaries are already included in profit figures, so no further deduction is needed.
Balance Sheet of Chandan, Deepak and Elvish as at 31st March, 2024
| Liabilities | Amount (₹) | Assets | Amount (₹) |
|---|---|---|---|
| Capitals: | Fixed Assets | 27,00,000 | |
| Chandan | 7,00,000 | Stock | 3,00,000 |
| Deepak | 5,00,000 | Debtors | 2,00,000 |
| Elvish | 3,00,000 | Cash | 1,00,000 |
| General Reserve | 4,50,000 | ||
| Creditors | 13,50,000 | ||
| Total | 33,00,000 | Total | 33,00,000 |
A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find a relation between \( x \) and \( y \) such that the surface area \( S \) is minimum.