| Date | Particulars | L.F. | Debit (₹) | Credit (₹) |
|---|---|---|---|---|
| Building A/c | 15,50,000 | |||
| Machinery A/c | 11,40,000 | |||
| Furniture A/c | 1,10,000 | |||
| To Sundry Creditors A/c | 2,00,000 | |||
| To Dhruv Ltd. | 25,00,000 | |||
| To Capital Reserve A/c | 1,00,000 | |||
| (Assets and liabilities acquired from Dhruv Ltd.) | ||||
Total Value of Assets Taken = Building + Machinery + Furniture
= 15,50,000 + 11,40,000 + 1,10,000
= 28,00,000
Liabilities taken = 2,00,000
Net Assets Taken = 26,00,000
Purchase consideration = 25,00,000
Capital Reserve = Net Assets Taken – Purchase consideration
26,00,000 - 25,00,000 = 1,00,000
Face Value per Debenture: ₹100
Premium: 25%
Issue Price per Debenture: ₹100 + (25% of ₹100) = ₹125
Number of Debentures to be issued = Purchase Consideration / Issue Price per Debenture
Number of Debentures to be issued = 25,00,000 / 125 = 20,000 Debentures
| Date | Particulars | L.F. | Debit (₹) | Credit (₹) |
|---|---|---|---|---|
| Dhruv Ltd. A/c | 25,00,000 | |||
| To 12% Debentures A/c | 20,00,000 | |||
| To Securities Premium Reserve A/c | 5,00,000 | |||
| (Issue of 20,000; 12% Debentures of ₹100 each at a premium of 25% in satisfaction of 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 \(P,O,Q\).