Ajit’s Capital A/c Dr
To Realisation A/c
(Ajit takes 40% of stock at 10% discount: $0.40 \times 20,000 = 8,000$ at 10% off ⇒ ₹$8,000 \times 0.90 = 7,200$) 7,200 7,200 Bank A/c Dr
To Realisation A/c
(Sale of remaining 60% stock for ₹18,000) 18,000 18,000 Realisation A/c Dr
To Vibha’s Capital A/c
(Dissolution work remuneration allowed to Vibha ₹16,000; she agreed to bear actual expenses of ₹15,000 herself, hence no entry for expenses in firm’s books) 16,000 16,000 Ajit’s Loan A/c Dr
To Bank A/c
To Realisation A/c
(Ajit’s loan ₹45,000 settled at ₹42,000; discount ₹3,000 credited to Realisation) 45,000 42,000
3,000 Vibha’s Capital A/c Dr
To Realisation A/c
(Unrecorded machine taken over by Vibha for ₹23,000) 23,000 23,000 Vibha’s Capital A/c Dr ₹10,000
Ajit’s Capital A/c Dr ₹10,000
To Profit & Loss A/c ₹20,000
(Transfer of debit balance of P&L A/c to partners equally in old ratio $1:1$) 20,000 20,000
| Particulars | L.F. | Amount (₹) | Amount (₹) |
|---|---|---|---|
| Creditors A/c Dr. | 46,000 | ||
| To Cash A/c | 9,000 | ||
| To Furniture A/c | 32,000 | ||
| To Realisation A/c | 5,000 | ||
| Being creditors settled by paying cash, giving furniture and discount | |||
| Ajit’s Capital A/c Dr. | 7,200 | ||
| To Realisation A/c | 7,200 | ||
| Cash A/c Dr. | 18,000 | ||
| To Realisation A/c | 18,000 | ||
| Being Ajit paid ₹7,200 against ₹8,000 due after 10% discount; asset realised ₹18,000 | |||
| Realisation A/c Dr. | 16,000 | ||
| To Vibha’s Capital A/c | 16,000 | ||
| Being remuneration allowed to Vibha | |||
| Ajit’s Loan A/c Dr. | 45,000 | ||
| To Cash A/c | 42,000 | ||
| To Realisation A/c | 3,000 | ||
| Being Ajit’s loan settled by part payment and discount | |||
| Vibha’s Capital A/c Dr. | 23,000 | ||
| To Realisation A/c | 23,000 | ||
| Being loss transferred to Vibha’s capital | |||
| Partners’ Capital A/cs Dr. | 20,000 | ||
| To Profit and Loss A/c | 20,000 | ||
| Being net loss transferred to partners' capital accounts | |||
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 \(P,O,Q\).