PR Ltd. forfeited 10,000 equity shares of ₹10 each, issued at a premium of ₹4 per share, for non-payment of the first call of ₹3 per share. The second and final call of ₹2 per share had not yet been made.
These forfeited shares were later reissued at a discount of ₹1 per share, fully paid-up.
Pass necessary journal entries for the forfeiture and reissue of shares in the books of PR Ltd. Also prepare the Share Forfeiture Account.
Share Capital A/c Dr. ₹80,000 To Share Forfeiture A/c ₹70,000 To Share First Call A/c ₹30,000Explanation:
Bank A/c Dr. ₹1,30,000 Share Forfeiture A/c Dr. ₹10,000 To Share Capital A/c ₹1,40,000Shares reissued at ₹13 per share, fully paid-up.
Share Forfeiture A/c Dr. ₹60,000 To Capital Reserve A/c ₹60,000
Dr. SHARE FORFEITURE ACCOUNT Cr. -------------------------------------------------------------------- Particulars ₹ Amount Particulars ₹ Amount -------------------------------------------------------------------- To Discount on Reissue ₹10,000 By Forfeiture of Shares ₹70,000 To Capital Reserve ₹60,000 -------------------------------------------------------------------- Total ₹70,000 Total ₹70,000
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 \(P,O,Q\).