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 |
Realisation Account
| Particulars | Amount (₹) | Particulars | Amount (₹) |
|---|---|---|---|
| To Stock | 2,20,000 | By Chatterjee (50% of 2,20,000 - 10%) | 99,000 |
| To Debtors | 95,000 | By Creditors (for Debtors) | 90,000 |
| To Land and Building | 1,82,000 | By Pillai (Land & Building) | 1,00,000 |
| To Plant and Machinery | 1,00,000 | By Bank (Machinery sold as scrap) | 20,000 |
| To Bank (Realisation Expenses) | 17,000 | By Bank (remaining stock sold: 1,10,000 + 20%) | 1,32,000 |
| By Loss transferred to Capital A/c (Bal. fig.) | 73,000 | ||
| Total | 6,14,000 | Total | 5,14,000 |
We transfer all assets except Cash at Bank to the Realisation Account at book value.
Total = ₹ 2,20,000 + ₹ 95,000 + ₹ 1,82,000 + ₹ 1,00,000 = ₹ 5,97,000
We transfer all external liabilities to the credit side of Realisation Account:
Total liabilities transferred = ₹ 1,27,000
| Dr (Particulars) | ₹ | Cr (Particulars) | ₹ |
|---|---|---|---|
| To Stock | 2,20,000 | By Creditors | 1,10,000 |
| To Debtors | 95,000 | By Stock (taken by Chatterjee) | 99,000 |
| To Land & Building | 1,82,000 | By Stock (sold) | 1,32,000 |
| To Plant & Machinery | 1,00,000 | By Land & Building (taken by Pillai) | 1,00,000 |
| To Bank A/c (expenses) | 17,000 | By Plant & Machinery (sold) | 20,000 |
| To Profit transferred to: Madhavan (2/5) Chatterjee (1/5) Pillai (2/5) | — | ||
| Total | 6,14,000 | Total | 5,14,000 |
Note: The balancing figure ₹ 1,00,000 is the loss on realisation, which will be debited to partners’ capital accounts in the ratio 2:1:2.
| 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 \(P,O,Q\).