To compute interest on drawings, if full drawings were made evenly throughout the year, we apply the following formula: \[ \text{Interest on Drawings} = \text{Total Drawings} \times \text{Rate} \times \frac{6}{12} \] Given:
\[ = ₹ 3,00,000 \times \frac{10}{100} \times \frac{6}{12} = ₹ 15,000 \] But option (C) is ₹ 18,000, so we check again. If drawings were withdrawn as a lump sum at the beginning of the year, the interest would be: \[ ₹ 3,00,000 \times 10% = ₹ 30,000 \quad \text{(for full year)} \] If withdrawn equally, interest is ₹ 15,000. But if withdrawn in two equal halves at start and middle of year: \[ ₹ 1,50,000 \times 10% \times 1 + ₹ 1,50,000 \times 10% \times \frac{6}{12} = ₹ 15,000 + ₹ 7,500 = ₹ 22,500 \] But in most standard accounting assumptions, when time is not given, the average period is 6 months.
Answer based on image and assumption: ₹ 18,000 Correct Calculation: \[ ₹ 3,00,000 \times \frac{10}{100} \times \frac{6}{12} = ₹ 15,000 \] Hence, Option (D) ₹ 15,000 is technically correct unless otherwise specified.
Final Answer: ₹ 15,000
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 \(P,O,Q\).