In a Common Size Statement, each item is expressed as a percentage of Revenue from operations.
Given:
Step-wise Calculations:
Common Size Statement of Profit and Loss of QLM Ltd.
for the years ended 31st March, 2023 and 2024 (as % of Revenue from Operations)
| Particulars | 2022–23 (%) | 2023–24 (%) |
|---|---|---|
| Revenue from operations (Base) | \( 100.00 \) | \( 100.00 \) |
| Cost of revenue from operations | \( 50.00 \) | \( 50.00 \) |
| Gross Profit | \( 50.00 \) | \( 50.00 \) |
| Other expenses | \( 10.00 \) | \( 10.00 \) |
| Net Profit before Tax | \( 40.00 \) | \( 40.00 \) |
| Tax (50%) | \( 20.00 \) | \( 20.00 \) |
| Net Profit after Tax | \( 20.00 \) | \( 20.00 \) |
Statement of Profit (in ₹)
| Particulars | 2023–24 (₹) | 2022–23 (₹) |
|---|---|---|
| Revenue from Operations | 40,00,000 | 20,00,000 |
| Less: Purchase of Stock-in-Trade | 8,00,000 | 4,00,000 |
| Less: Other Expenses | 4,00,000 | 2,00,000 |
| Profit Before Tax | 28,00,000 | 14,00,000 |
| Less: Tax @ 50% | 14,00,000 | 7,00,000 |
| Net Profit After Tax | 14,00,000 | 7,00,000 |
| Particulars | Amount (₹) |
|---|---|
| 10% Debentures | \( \text{₹}15,00,000 \) |
| Current Liabilities | \( \text{₹}2,00,000 \) |
| Non-Current Assets | \( \text{₹}25,00,000 \) |
| Current Assets | \( \text{₹}7,00,000 \) |
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 \(P,O,Q\).