Case (i): Premier Ltd.
Forfeiture Entry:
| Date | Account Title and Explanation | Debit (Rs) | Credit (Rs) |
|---|---|---|---|
| Share Capital A/c (600 * Rs 7) | 4,200 | ||
| Securities Premium Reserve A/c (600 * Rs 3) | 1,800 | ||
| To Share Forfeiture A/c (600*3) | 1,800 | ||
| To Share Allotment A/c (600 * Rs 4) | 2,400 | ||
| (Being forfeiture of 600 shares for non-payment of allotment money including premium. The first and final call of Rs 3 per share was not yet made.) | |||
Reissue Entry:
| Date | Account Title and Explanation | Debit (Rs) | Credit (Rs) |
|---|---|---|---|
| Bank A/c (600 * Rs 13) | 7,800 | ||
| To Share Capital A/c (600 * Rs 10) | 6,000 | ||
| To Securities Premium Reserve A/c (600 * Rs 3) | 1,800 | ||
| (Being reissue of 600 forfeited shares at Rs 13 per share fully paid up) | |||
Transfer of Forfeiture Balance Entry:
| Date | Account Title and Explanation | Debit (Rs) | Credit (Rs) |
|---|---|---|---|
| Share Forfeiture A/c | 1,800 | ||
| To Capital Reserve A/c | 1,800 | ||
| (Being balance on share forfeiture a/c transferred to capital reserve) | |||
Case (ii): Risha Ltd.
Forfeiture Entry:
| Date | Account Title and Explanation | Debit (Rs) | Credit (Rs) |
|---|---|---|---|
| Share Capital A/c (1000 * Rs 8) | 8,000 | ||
| Securities Premium Reserve A/c (1000 * Rs 2) | 2,000 | ||
| To Share Forfeiture A/c (1000*4) | 4,000 | ||
| To Share Allotment A/c (1000 * Rs 4) | 4,000 | ||
| (Being forfeiture of 1000 shares for non-payment of allotment money including premium) | |||
Reissue Entry:
| Date | Account Title and Explanation | Debit (Rs) | Credit (Rs) |
|---|---|---|---|
| Bank A/c (800 * Rs 7) | 5,600 | ||
| Share Forfeiture A/c (800 * Rs 1) | 800 | ||
| To Share Capital A/c (800 * Rs 8) | 6,400 | ||
| (Being reissue of 800 forfeited shares at Rs 7 per share, Rs 8 paid up) | |||
Transfer of Forfeiture Balance Entry:
First calculating the profit on forfeited shares and adjusted by the discount on reissue.
Amount forfeited on 1000 shares= Rs 4000
Amount related to 800 shares= 4000*800/1000= Rs 3200
Discount given on reissue of 800 shares= Rs 800
Capital reserve= 3200-800= Rs 2400
| Date | Account Title and Explanation | Debit (Rs) | Credit (Rs) |
|---|---|---|---|
| Share Forfeiture A/c | 2,400 | ||
| To Capital Reserve A/c | 2,400 | ||
| (Being balance on share forfeiture a/c transferred to capital reserve) | |||
Important Notes:
Meera Ltd. is registered with an authorised capital of ₹ 1,00,000 divided into equity shares of ₹ 10 each. The company invited applications for issuing 1,00,000 equity shares at a premium of ₹ 2 per share. The amount was payable as follows:
Applications were received for 95,000 shares and allotment was made to all the applicants. All calls were made and duly received except the second and final call of 1,000 shares held by Tushar.
Answer the following questions:
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 \(P,O,Q\).