Partners started on 1-10-2023 and the year ended on 31-03-2024 → period = 6 months. Interest on capital is for 6 months i.e. $10\%\times\frac{6}{12}=5\%$ of capital.
Profit available for distribution after interest = Total profit − Total interest = ₹13,00,000 − ₹7,00,000 = ₹6,00,000.
This remaining ₹6,00,000 is shared equally → each gets ₹3,00,000.
Baadal’s total receipts = Interest on capital (₹3,00,000) + his share of remaining profit (₹3,00,000) = ₹6,00,000. But guarantee requires Baadal to get at least ₹7,00,000.
Deficiency = ₹7,00,000 − ₹6,00,000 = ₹1,00,000. This is met by Aakash.
| Dr (Particulars) | ₹ | Cr (Particulars) | ₹ |
|---|---|---|---|
| To Interest on Aakash’s Capital | 4,00,000 | By Profit (Net) | 13,00,000 |
| To Interest on Baadal’s Capital | 3,00,000 | ||
| To Profit transferred to Aakash’s Capital (½ of ₹6,00,000) | 3,00,000 | ||
| To Profit transferred to Baadal’s Capital (½ of ₹6,00,000) | 3,00,000 | ||
| Total | 13,00,000 | Total | 13,00,000 |
Aakash meets the deficiency of ₹1,00,000 for Baadal. The journal entry is:
Aakash’s Capital A/c Dr. ₹1,00,000 To Baadal’s Capital A/c ₹1,00,000 (Being deficiency on guarantee met by Aakash)
Profit & Loss Appropriation A/c is prepared above. In addition, Aakash’s Capital A/c is debited and Baadal’s Capital A/c credited by ₹1,00,000 to meet the guarantee.
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 \(P,O,Q\).