The following journal entry appears in the books of Latvion Ltd.: 
The discount on issue of debentures is:
15 %
5 %
10 %
95 %
The journal entry shows: Face Value of Debentures issued (credited to 12% Debentures A/c) = Rs 5,00,000. Cash received (debited to Bank A/c) = Rs 4,75,000. The discount on issue is the difference between the face value and the issue price (cash received), when the issue price is lower. Discount = Face Value - Issue Price \[ \text{Discount} = 5,00,000 - 4,75,000 = Rs 25,000 \] The 'Loss on Issue of Debentures A/c' includes both the discount on issue and the premium payable on redemption. Loss on Issue = Discount on Issue + Premium on Redemption Loss on Issue shown = Rs 75,000 Premium on Redemption shown = Rs 50,000 Discount on Issue = Loss on Issue - Premium on Redemption = 75,000 - 50,000 = Rs 25,000. This matches our calculation. Now, calculate the discount percentage: Discount Percentage = \( \frac{\text{Discount Amount}}{\text{Face Value}} \times 100 \) \[ \text{Discount } = \frac{25,000}{5,00,000} \times 100 = \frac{1}{20} \times 100 = 5 \%\]
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 \(P,O,Q\).