Issue price per debenture = ₹100 − 10% = ₹90
Number of debentures = ₹46,00,000 ÷ ₹90 = 51,111.11 ≈ 51,112 debentures (rounded)
1. For purchase of assets and liabilities:
| Particulars | Dr (₹) | Cr (₹) |
|---|---|---|
| Sundry Assets A/c | 50,00,000 | |
| To Sundry Liabilities A/c | 6,00,000 | |
| To Moondock Ltd. | 44,00,000 | |
| (Being purchase of business from Moondock Ltd.) | ||
2. For discharge of purchase consideration by issue of debentures:
| Particulars | Dr (₹) | Cr (₹) |
|---|---|---|
| Moondock Ltd. A/c | 46,00,000 | |
| Discount on Issue of Debentures A/c | 5,11,200 | |
| To 8% Debentures A/c | 51,11,200 | |
| (Being issue of 51,112 debentures of ₹100 at 10% discount in settlement of consideration) | ||
Final Answer: 51,112 debentures issued at 10% discount to settle ₹46,00,000.
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 \(P,O,Q\).