Balance Sheet of Ashish, Vinit and Reema as at 31st March, 2024
| Liabilities | Amount (₹) | Assets | Amount (₹) |
|---|---|---|---|
| Capital: Ashish | 2,00,000 | Patents | 80,000 |
| Capital: Vinit | 2,00,000 | Furniture | 3,00,000 |
| Capital: Reema | 1,00,000 | Stock | 1,70,000 |
| General Reserve | 50,000 | Debtors | 80,000 |
| Bills Payable | 80,000 | Less: Provision for Doubtful Debts | (8,000) |
| Creditors | 40,000 | Net Debtors | 72,000 |
| Cash | 48,000 | ||
| Total | 6,70,000 | Total | 6,70,000 |
\[ \text{Net Profit on Revaluation} = ₹16,000 - ₹10,000 = ₹6,000 \]
Distributed among partners in ratio 2 : 2 : 1:
\[ \text{Goodwill of the firm} = ₹60,000 \\ \text{Vinit’s share} = \frac{2}{5} × ₹60,000 = ₹24,000 \]
Sacrificing ratio between Ashish and Reema = 3 : 2
Journal Entry:
Ashish’s Capital A/c Dr. ₹14,400
Reema’s Capital A/c Dr. ₹9,600
To Vinit’s Capital A/c ₹24,000
(Being goodwill adjusted in sacrificing ratio)
\[ \text{Capital (given)} = ₹2,00,000 \\ \text{Add: Revaluation Profit} = ₹2,400 \\ \text{Add: Goodwill Credited} = ₹24,000 \\ \text{Total Due} = ₹2,26,400 \]
\[ \text{Less: Cash Paid} = ₹20,000 \\ \text{Transferred to Vinit’s Loan A/c} = ₹2,06,400 \]
For the curve \( \sqrt{x} + \sqrt{y} = 1 \), find the value of \( \frac{dy}{dx} \) at the point \( \left(\frac{1}{9}, \frac{1}{9}\right) \).

The graph shows the variation of current with voltage for a p-n junction diode. Estimate the dynamic resistance of the diode at \( V = -0.6 \) V.
