(i) Stock taken over by creditor: 40% of ₹2,00,000 = ₹80,000
Creditor’s claim = ₹1,00,000 → stock of ₹80,000 given → loss = ₹20,000 (credited to Realisation A/c)
Remaining stock = ₹1,20,000 → sold at 10% loss → sale value = ₹1,08,000
(ii) Remaining creditors paid = ₹2,10,000
(iii) Plant and Machinery worth ₹5,00,000 settled against loan of ₹5,40,000 → loss = ₹40,000
(iv) Debtors sold = ₹3,50,000, commission = ₹25,000 → amount received = ₹3,25,000
(v) Investments taken over in 7:3 ratio:
Lalit = \( \frac{7}{10} \times ₹1,00,000 = ₹70,000 \), Madan = ₹30,000
(vi) Dissolution expenses = ₹8,000 paid by firm
Journal Entries in the books of the firm:
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| Creditors A/c Dr. To Realisation A/c (Stock of ₹80,000 given to creditor, ₹20,000 loss) | 1,00,000 | 1,00,000 |
| Cash A/c Dr. To Realisation A/c (Remaining stock sold at 10% loss) | 1,08,000 | 1,08,000 |
| Realisation A/c Dr. To Cash A/c (Payment to remaining creditors) | 2,10,000 | 2,10,000 |
| Mrs. Madan’s Loan A/c Dr. To Realisation A/c To Capital A/c (Asset of ₹5,00,000 given in settlement of ₹5,40,000) | 5,40,000 | 5,00,000 40,000 |
| Cash A/c Dr. Realisation A/c Dr. To Debtors A/c (Debtors sold for ₹3,50,000, ₹25,000 commission) | 3,25,000 25,000 | 3,50,000 |
| Lalit’s Capital A/c Dr. Madan’s Capital A/c Dr. To Realisation A/c (Investments taken over in profit sharing ratio) | 70,000 30,000 | 1,00,000 |
| Realisation A/c Dr. To Cash A/c (Dissolution expenses paid by firm) | 8,000 | 8,000 |
Balance Sheet of Madhavan, Chatterjee and Pillai as at 31st March, 2024
| Liabilities | Amount (₹) | Assets | Amount (₹) |
|---|---|---|---|
| Creditors | 1,10,000 | Cash at Bank | 4,05,000 |
| Outstanding Expenses | 17,000 | Stock | 2,20,000 |
| Mrs. Madhavan’s Loan | 2,00,000 | Debtors | 95,000 |
| Chatterjee’s Loan | 1,70,000 | Less: Provision for Doubtful Debts | (5,000) |
| Capitals: | Madhavan – 2,00,000 | Land and Building | 1,82,000 |
| Chatterjee – 1,00,000 | Plant and Machinery | 1,00,000 | |
| Pillai – 2,00,000 | |||
| Total | 9,97,000 | Total | 9,97,000 |
| Liabilities | Amount (₹) | Assets | Amount (₹) |
|---|---|---|---|
| Capitals: | Machinery | 7,00,000 | |
| Madhur | 9,00,000 | Investments | 4,00,000 |
| Neeraj | 8,00,000 | Debtors | 11,00,000 |
| Creditors | 6,00,000 | Stock | 2,00,000 |
| Bills Payable | 2,00,000 | Cash at Bank | 1,00,000 |
| Total | 25,00,000 | Total | 25,00,000 |
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).