Abhay: 10% of ₹6,00,000 = ₹60,000
Sujoy: 10% of ₹4,00,000 = ₹40,000
Net Profit = ₹6,50,000 + ₹60,000 + ₹40,000 = ₹7,50,000 (after charging drawings interest)
Abhay : Sujoy = ₹80,00,000 : ₹60,00,000 = 4 : 3
Abhay's share = (4/7) × ₹7,50,000 = ₹4,28,571 (approx)
Sujoy's share = (3/7) × ₹7,50,000 = ₹3,21,429
Abhay's actual share (₹4,28,571) is more than the guaranteed amount (₹3,50,000), so no adjustment needed.
| Particulars | Amount (₹) | Particulars | Amount (₹) |
|---|---|---|---|
| To Abhay's Capital A/c | 4,28,571 | By Net Profit | 6,50,000 |
| To Sujoy's Capital A/c | 3,21,429 | By Interest on Drawings: | Abhay – 60,000 |
| Sujoy – 40,000 | |||
| Total | 7,50,000 | ||
| Total | 7,50,000 | ||
Final Answer: Abhay gets ₹4,28,571, Sujoy gets ₹3,21,429; no guarantee adjustment needed.
Simar, Tanvi and Umara were partners in a firm sharing profits and losses in the ratio of 5:6:9. On 31st March, 2024 their Balance Sheet was as follows:

Umara died on 30th June, 2024. The partnership deed provided for the following on the death of a partner:
From the following information, prepare a Comparative Income Statement of Arun Ltd. for the year ended 31st March, 2024. 
A partnership firm earned net profits during the last three years as follows: 
The capital employed in the firm throughout the above period was ₹8,00,000. Considering the risk involved, 15% is regarded as a fair return on capital. The remuneration of all the partners during this period is estimated at ₹2,00,000 per annum. Calculate the value of Goodwill on the basis of Super Profit Method (3 years’ purchase).
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 \(P,O,Q\).