The total drawings at the end of each quarter = rupee 9,000.
The average period for quarterly drawings = 7.5 months (or 7.5/12 years). \[ \text{Interest} = \text{Total Drawings} \times {Rate} \times {Time} \] \[ \text{Interest} = rupee 36,000 \times 6\% \times \frac{7.5}{12} = rupee 810 \]

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 \(P,O,Q\).