Realisation Account
| Particulars | Amount (₹) | Particulars | Amount (₹) |
|---|---|---|---|
| To Stock | 6,00,000 | By Samta’s Capital A/c (50% stock at 10% less) | 2,70,000 |
| To Debtors | 3,90,000 | By Bank A/c (Remaining stock at 20% profit) | 3,60,000 |
| To Land and Building | 4,14,000 | By Creditors A/c (settled via debtors) | 4,20,000 |
| To Plant and Machinery | 9,00,000 | By Prakash’s Capital A/c (L&B taken over) | 20,00,000 |
| To Bank A/c (Realisation Exp.) | 56,000 | By Bank A/c (Plant sold) | 1,00,000 |
| Total | 23,60,000 | Total | 31,50,000 |
Balancing figure: Profit on Realisation = ₹ 7,90,000 distributed in 2 : 3 : 5
Guru’s Share = $ \dfrac{2}{10} \times 7,90,000 = ₹ 1,58,000 $
Samta’s Share = $ \dfrac{3}{10} \times 7,90,000 = ₹ 2,37,000 $
Prakash’s Share = $ \dfrac{5}{10} \times 7,90,000 = ₹ 3,95,000 $
Final Realisation Entries:
To Partners’ Capital A/cs (Profit):
Guru – ₹ 1,58,000
Samta – ₹ 2,37,000
Prakash – ₹ 3,95,000

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 \(P,O,Q\).