Naval, Nyaya and Nritya were partners sharing profits in the ratio of 3:5:2. On 31st March, 2024, Nyaya retired. Revaluation of assets and goodwill adjustments were made. Prepare Revaluation Account and Partners’ Capital Accounts.
Revaluation Account
| Dr. Revaluation A/c | ₹ | Cr. Particulars | ₹ |
| To Plant & Machinery A/c | 20,000 | By Land & Building A/c | 50,000 |
| To Provision for D/D A/c | 5,000 | By Investments A/c | 65,000 |
| 25,000 | 1,15,000 | ||
| Net Gain transferred to: | |||
| To Capital A/c: | |||
| Naval | 27,000 | ||
| Nyaya | 45,000 | ||
| Nritya | 18,000 | ||
| 90,000 | |||
| 1,15,000 | 1,15,000 |
Partners’ Capital Accounts
| Dr. Particulars | Naval | Nyaya | Nritya | Cr. Particulars | Naval | Nyaya | Nritya |
| To Nyaya's Loan | 4,95,000 | By Bal. b/d | 2,00,000 | 3,00,000 | 5,00,000 | ||
| To Balance c/d | 4,19,000 | 5,91,000 | By Gen. Res. | 24,000 | 40,000 | 16,000 | |
| By Reval. A/c | 27,000 | 45,000 | 18,000 | ||||
| By Naval (GW) | 72,000 | ||||||
| By Nritya (GW) | 48,000 | ||||||
| (GW Adjustment) | |||||||
| Naval A/c | 72,000 | ||||||
| Nritya A/c | 48,000 | ||||||
| 6,19,000 | 5,67,000 | 6,59,000 | 6,19,000 | 5,67,000 | 6,59,000 |
Working Notes:

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 \(P,O,Q\).