Pass the necessary journal entries for the following transactions on the dissolution of the partnership firm of Sharma and Verma after the various assets (other than cash and bank balance) and outside liabilities have been transferred to Realisation Account:
(i) Sharma paid creditors ₹ 34,000 in full settlement of their claim of ₹ 40,000.
(ii) Verma agreed to pay his wife’s loan of ₹ 8,000.
(iii) There was an old typewriter which had been written off completely from the books. It was estimated to realise ₹ 3,000. It was taken over by Verma at the estimated price less 20%.
(iv) Neelu, an old customer whose account for ₹ 1,500 was written off as bad debt in the previous year, paid 80% of the amount.
(v) Dissolution expenses amounting to ₹ 8,000 were paid by Sharma. (vi) Loss on realisation ₹ 40,000 was to be distributed between Sharma and Verma in their profit-sharing ratio of 3:2.
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 \(P,O,Q\).