
| Particulars | Amount (₹) | Total (₹) |
|---|---|---|
| Net Profit for the year | 4,90,000 | |
| Add: Non-operating items charged to P&L | ||
| Depreciation | 80,000 | |
| Goodwill written off | 10,500 | 90,500 |
| Operating Profit before Working Capital Changes | 5,80,500 | |
| Add: Decrease in Current Assets | ||
| Prepaid Insurance (20,000 − 15,000) | 5,000 | |
| Accrued Interest (40,000 − 30,000) | 10,000 | 15,000 |
| Add: Increase in Current Liabilities | ||
| Rent received in advance (10,000 − 0) | 10,000 | 10,000 |
| Less: Increase in Current Assets | ||
| Inventories (1,50,000 − 1,00,000) | (50,000) | |
| Trade Receivables (2,25,000 − 2,00,000) | (25,000) | |
| Other Current Assets (1,40,000 − 90,000) | (50,000) | (1,25,000) |
| Less: Decrease in Current Liabilities | ||
| Trade Payables (2,00,000 − 1,70,000) | (30,000) | |
| Outstanding Expenses (12,000 − 8,500) | (3,500) | (33,500) |
| Cash from Operations | 4,47,000 |
For Current Assets:
For Current Liabilities:
| Item | Nature | Treatment |
|---|---|---|
| Inventories (Increase) | Current Asset | Deduct |
| Trade Receivables (Increase) | Current Asset | Deduct |
| Prepaid Insurance (Decrease) | Current Asset | Add |
| Accrued Interest (Decrease) | Current Asset | Add |
| Other Current Assets (Increase) | Current Asset | Deduct |
| Trade Payables (Decrease) | Current Liability | Deduct |
| Outstanding Expenses (Decrease) | Current Liability | Deduct |
| Rent Received in Advance (Increase) | Current Liability | Add |
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 \(P,O,Q\).