From the following Statement of Profit and Loss of Nutan Ltd. for the years ended 31st March, 2023 and 2024, prepare a Comparative Statement of Profit and Loss:
| Particulars | 2022–23 (₹) | 2023–24 (₹) |
| Revenue from Operations | 5,00,000 | 6,00,000 |
| Other Income | 20,000 | 30,000 |
| Expenses | 4,00,000 | 5,00,000 |
| Tax Rate | 40% | 40% |
| Particulars | 2022–23 | 2023–24 | % Change |
| Revenue from Operations | 5,00,000 | 6,00,000 | 20% |
| Other Income | 20,000 | 30,000 | 50% |
| Total Revenue | 5,20,000 | 6,30,000 | 21.15% |
| Less: Expenses | 4,00,000 | 5,00,000 | 25% |
| Profit Before Tax | 1,20,000 | 1,30,000 | 8.33% |
| Less: Tax (40%) | 48,000 | 52,000 | 8.33% |
| Profit After Tax | 72,000 | 78,000 | 8.33% |
We compare each figure across years and calculate both absolute and percentage changes. This aids in understanding trends, identifying performance improvements, and areas requiring attention.
Match List-I with List-II:
\[\begin{array}{|c|c|} \hline \text{List-I (Accounting ratio)} & \text{List-II (Type of ratio)} \\ \hline \text{(A) Current ratio} & \text{(I) Liquidity ratios} \\ \hline \text{(B) Stock turnover ratio} & \text{(II) Activity ratios} \\ \hline \text{(C) Debt Equity ratio} & \text{(III) Solvency ratios} \\ \hline \text{(D) Operating ratio} & \text{(IV) Profitability ratios} \\ \hline \end{array}\]
Choose the correct answer from the options given below:
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 \(P,O,Q\).