Purchase Consideration = ₹36,00,000
Debentures issued at 20% premium, so Issue Price = 100 + 20 = ₹120 per debenture
Number of Debentures = ₹36,00,000 ÷ ₹120 = 30,000 debentures
1. For purchase of assets and liabilities:
| Particulars | Dr (₹) | Cr (₹) |
|---|---|---|
| Sundry Assets A/c | 40,00,000 | |
| To Sundry Liabilities A/c | 5,00,000 | |
| To Naroha Ltd. | 35,00,000 | |
| (Being assets and liabilities taken over from Naroha Ltd.) | ||
2. For discharge of consideration by issue of debentures:
| Particulars | Dr (₹) | Cr (₹) |
|---|---|---|
| Naroha Ltd. A/c | 36,00,000 | |
| To 7% Debentures A/c | 30,00,000 | |
| To Securities Premium A/c | 6,00,000 | |
| (Being amount due to Naroha Ltd. discharged by issue of 30,000 debentures at 20% premium) | ||
Final Answer: 30,000 debentures issued at ₹120 to discharge purchase consideration.
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 \(P,O,Q\).