| Dr. | ₹ | Cr. | ₹ |
|---|---|---|---|
| To Stock | 20,000 | By Creditors | 81,000 |
| To Debtors | 50,000 | By Building (Realised) | 4,00,000 |
| To Investments | 30,000 | By Debtors (Realised) | 44,000 |
| To Building | 3,40,000 | By Investments (Sold) | 19,000 |
| To Realisation Expenses | 6,000 | By Stock taken by Rinku | 16,000 |
| By Investments taken by Pinky (10% less of 30,000) | 27,000 | ||
| By Profit transferred to: | |||
| Rinku (3/5) | 37,200 | ||
| Pinky (2/5) | 24,800 | ||
| Total | 4,46,000 | Total | 4,46,000 |
1. Creditors Paid ₹5,000 Less
Creditors = 81,000 Paid = 81,000 − 5,000 = 76,000 Gain on settlement = 5,000 (credited to Realisation A/c)
2. Investments taken by Pinky at 10% less
30,000 − 10% = 30,000 − 3,000 = 27,000
3. Calculation of Profit on Realisation
Total Credit Side:
Total = 5,87,000
Total Debit Side:
Total = 4,46,000
Profit on Realisation = 62,000
Distribution in Profit-sharing Ratio (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 \(P,O,Q\).