Prepare a Common Size Statement of Profit and Loss of Laveena Ltd. for the year ended 31st March, 2023 and 31st March, 2024 from the following information:
| Particulars | 2023--24 (₹) | 2022--23 (₹) |
|---|---|---|
| Revenue from operations | ₹80,00,000 | ₹40,00,000 |
| Purchase of stock in trade | ₹8,00,000 | ₹4,00,000 |
| Other expenses | ₹80,000 | ₹40,000 |
Tax Rate: $50%$
Step 1: Calculate Net Profit Before and After Tax
For 2023–24:
Revenue from operations = ₹80,00,000
Less: Purchase of stock-in-trade = ₹8,00,000
Less: Other Expenses = ₹80,000
$\Rightarrow$ Net Profit before tax = ₹71,20,000
$\Rightarrow$ Net Profit after tax @50% = ₹35,60,000
For 2022–23:
Revenue from operations = ₹40,00,000
Less: Purchase of stock-in-trade = ₹4,00,000
Less: Other Expenses = ₹40,000
$\Rightarrow$ Net Profit before tax = ₹35,60,000
$\Rightarrow$ Net Profit after tax @50% = ₹17,80,000
Common Size Statement of Profit and Loss
(for the years ended 31st March, 2024 and 2023)
| Particulars | 2023–24 (%) | 2022–23 (%) |
|---|---|---|
| Revenue from operations | 100.00% | 100.00% |
| Purchase of stock-in-trade | 10.00% | 10.00% |
| Other expenses | 1.00% | 1.00% |
| Net Profit before tax | 88.00% | 89.00% |
| Tax (50%) | 44.00% | 44.50% |
| Net Profit after tax | 44.00% | 44.50% |



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 \(P,O,Q\).