Preet and Saral were partners sharing profits and losses in the ratio of 3:2. On 31st March, 2024 they decided to change their profit sharing ratio to 1:1. On the date of reconstitution goodwill of the firm was valued at Rs 1,00,000. The journal entry for treatment of goodwill on account of change in profit-sharing ratio will be:
In the given scenario, Preet and Saral are partners with an initial profit-sharing ratio of 3:2. They decide to modify their profit-sharing ratio to 1:1 on 31st March, 2024. At this point, the firm's goodwill is valued at Rs 1,00,000.
To adjust for the change in profit-sharing ratio, we need to calculate the gain or loss in share for each partner based on the goodwill valuation.
Step 1: Calculate the Gain or Loss in Share of Profit:
For Preet and Saral:
Gain/Loss for Preet = New Share - Old Share = (1/2 - 3/5) = (5/10 - 6/10) = -1/10 (Loss)
Gain/Loss for Saral = New Share - Old Share = (1/2 - 2/5) = (5/10 - 4/10) = 1/10 (Gain)
Since Preet's share is decreasing, he is compensating Saral.
Step 2: Calculate the Adjustment on Goodwill:
Goodwill value is Rs 1,00,000. The adjustment amount is based on their gain or loss in share:
Adjustment Amount on Goodwill = Goodwill Value × Gain/Loss in Share = 1,00,000 × 1/10 = Rs 10,000
Step 3: Pass the Journal Entry:
The journal entry to adjust the goodwill based on the change in profit-sharing ratio is:
Saral's Capital A/c Dr. 10,000 To Preet's Capital A/c 10,000
To determine the correct journal entry for the change in profit-sharing ratio, we follow these steps:
1. Understanding the Problem:
Partners: Preet and Saral
Old Ratio: 3:2
New Ratio: 1:1 (equal)
Goodwill Value: ₹1,00,000
We need to adjust the partners' capital accounts to reflect the change in profit-sharing. A partner who is gaining in the new ratio will be debited (compensated), and the partner who is losing will be credited.
2. Calculating Gaining/Sacrificing Shares:
Preet's Old Share: 3/5
Preet's New Share: 1/2
Preet's Sacrifice/Gain: (3/5) - (1/2) = (6 - 5)/10 = 1/10 (Sacrifice)
Saral's Old Share: 2/5
Saral's New Share: 1/2
Saral's Sacrifice/Gain: (2/5) - (1/2) = (4 - 5)/10 = -1/10 (Gain)
3. Determining the Amount to Adjust:
Preet's sacrifice is 1/10 of the goodwill, so the amount is (1/10) * ₹1,00,000 = ₹10,000
Saral's gain is 1/10 of the goodwill, so the amount is (1/10) * ₹1,00,000 = ₹10,000
4. Journal Entry:
Since Saral is gaining, Saral's Capital Account is debited (to compensate for the gain)
Since Preet is sacrificing, Preet's Capital Account is credited (to acknowledge the sacrifice)
Final Answer:
The correct journal entry is:
(D) Saral's Capital A/c ....... Dr. 10,000
To Preet's Capital A/c 10,000
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 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 \(P,O,Q\).