Sandhya and Suman were partners in a firm sharing profits and losses in the ratio of 3 : 5. They decided to dissolve the firm on 31st March, 2024. On the date of dissolution, the Balance Sheet of the firm showed a balance of 80,000 in sundry debtors and a balance of 5,000 in provision for bad debts account. How much amount will be transferred to Realisation Account to close Sundry Debtors Account?
Step 1: Sundry Debtors appear on the asset side of the Balance Sheet at 80,000.
Step 2: Provision for Bad Debts of 5,000 appears on the liabilities side (or as a deduction from Sundry Debtors).
Step 3: On dissolution, the full gross amount of debtors is transferred to the Realisation Account.
Note: Provision for Bad Debts is not netted off while transferring assets. It is closed by crediting the Realisation A/c separately.
Step 4: Therefore, Sundry Debtors to Realisation A/c = 80,000
Provision for Bad Debts A/c will be transferred to the credit side of Realisation A/c separately.
Realisation A/c Dr. & 80,000
To Sundry Debtors A/c & 80,000
Provision for Bad Debts A/c Dr. & 5,000
To Realisation A/c & 5,000
Rishika and Shivika were partners in a firm sharing profits and losses in the ratio of 3 : 2. Their Balance Sheet as at 31st March, 2024 stood as follows:
Balance Sheet of Rishika and Shivika as at 31st March, 2024
| Liabilities | Amount (₹) | Assets | Amount (₹) |
|---|---|---|---|
| Capitals: | Equipment | 45,00,000 | |
| Rishika – ₹30,00,000 Shivika – ₹20,00,000 | 50,00,000 | Investments | 5,00,000 |
| Shivika’s Husband’s Loan | 5,00,000 | Debtors | 35,00,000 |
| Creditors | 40,00,000 | Stock | 8,00,000 |
| Cash at Bank | 2,00,000 | ||
| Total | 95,00,000 | Total | 95,00,000 |
The firm was dissolved on the above date and the following transactions took place:
(i) Equipements were given to creditors in full settlement of their account.
(ii) Investments were sold at a profit of 20% on its book value.
(iii) Full amount was collected from debtors.
(iv) Stock was taken over by Rishika at 50% discount.
(v) Actual expenses of realisation amounted to ₹ 2,00,000 which were paid by the firm. Prepare Realisation Account.
Manav and Namit were partners in a firm sharing profits and losses in the ratio of 3 : 2. Their Balance Sheet as at 31st March 2024 was as follows:
| Liabilities | Assets | ||
|---|---|---|---|
| Capitals: | Machinery | ₹8,00,000 | |
| Manav | ₹4,00,000 | Investments | ₹5,00,000 |
| Namit | ₹6,00,000 | Debtors | ₹12,00,000 |
| Bank Overdraft | ₹9,00,000 | Stock | ₹3,00,000 |
| Creditors | ₹10,00,000 | Cash in Hand | ₹1,00,000 |
| Total | ₹29,00,000 | Total | ₹29,00,000 |
The firm was dissolved on the above date and the following transactions took place:
[(i)] Stock was given to creditors in full settlement of their account.
[(ii)] Investments were taken over by Manav at 120% of book value.
[(iii)] Bad debts amounted to ₹ 2,00,000.
[(iv)] Machinery was realised at 50% discount.
[(v)] Realisation expenses amounted to ₹ 1,00,000 which were paid by Namit.
Prepare Realisation Account.
Match List-I with List-II:\[\begin{array}{|c|c|} \hline \text{List-I} & \text{List-II} \\ \hline \text{(A) Compulsory Dissolution} & \text{(I) Partner becomes insane} \\ \hline \text{(B) Dissolution by notice} & \text{(II) Death of a partner} \\ \hline \text{(C) Dissolution by Court} & \text{(III) Business becomes illegal} \\ \hline \text{(D) Dissolution on certain contingencies} & \text{(IV) Partnership at will} \\ \hline \end{array}\]Choose the correct answer from the options given below:
Match List-I with List-II:\[\begin{array}{|c|c|} \hline \text{List-I} & \text{List-II} \\ \hline \text{(A) Payment of loans due to partners} & \text{(I) Realisation A/c Dr To Bank A/c} \\ \hline \text{(B) Settlement of partners' accounts (debit balance)} & \text{(II) Bank A/c Dr To Loan to Partners A/c} \\ \hline \text{(C) Settlement of loan by firm to a partner} & \text{(III) Bank A/c Dr To Partner's Capital A/c} \\ \hline \text{(D) Settlement of unrecorded liability} & \text{(IV) Partner's Loan A/c Dr To Bank A/c} \\ \hline \end{array}\]Choose the correct answer:
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 \(P,O,Q\).