Journal Entries in the books of Radhika Ltd.
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| Bank A/c To Equity Share Application and Allotment A/c (Application and allotment for 39,000 shares @ ₹ 40) | 15,60,000 | 15,60,000 |
| Equity Share Application and Allotment A/c To Equity Share Capital A/c To Securities Premium A/c (Allotment transferred to share capital and premium) | 15,60,000 | 11,70,000 3,90,000 |
| Bank A/c To First Call A/c (First call received on 38,900 shares @ ₹ 45) | 17,55,000 | 17,55,000 |
| Equity Share Capital A/c Securities Premium A/c To Forfeited Shares A/c To First Call A/c (Forfeiture of 100 shares for non-payment of first call) | 11,500 500 | 12,000 4,500 |
| Bank A/c Forfeited Shares A/c To Equity Share Capital A/c (Reissue of 100 forfeited shares @ ₹ 70 fully paid up) | 7,000 5,000 | 12,000 |
| Forfeited Shares A/c To Capital Reserve A/c (Profit on reissue transferred to capital reserve) | 7,000 | 7,000 |
Calculation:
Amount received on reissue = ₹ 70 × 100 = ₹ 7,000
Total amount forfeited = ₹ 12,000
Loss on reissue = ₹ 5,000
Profit = ₹ 7,000 transferred to capital reserve.
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 \(P,O,Q\).