Class 12 Accountancy Chapter 1 Accounting For Partnership : Basic Concepts

Key Concept: Complex Adjustments, Loss Scenario

c) No interest credited due to loss
[Solution Description]
Neeta’s initial interest:
$$
= 2,00,000 \times 0.06 = 12,000
$$
Adjust for withdrawal:
$$
= -40,000 \times 0.06 \times \frac{7}{12} = -1,400
$$

Net interest for Neeta = 12,000 – 1,400 = 10,600

Meeta’s initial interest:
$$
= 2,00,000 \times 0.06 = 12,000
$$
Additional interest:
$$
= 60,000 \times 0.06 \times \frac{5}{12} = 1,500
$$

Net interest for Meeta = 12,000 + 1,500 = 13,500

Since there is a loss, no interest is credited.

Key Concept: Period Identification

c) 6.5 months

[Solution Description] To find the period, count the full months from June 15 to December 31. This includes July, August, September, October, November, and December, totaling 6.5 months as June has only half month considered.

Therefore, the period is 6.5 months.

Key Concept: Advanced Calculation, Legal Interpretation

b) Rs. 21,000
[Solution Description] According to the Partnership Act, Anil’s loan is subject to a 6% interest rate since no specific rate is mentioned, while Sunil’s verbal agreement cannot override this unless it is documented. Thus:

– Anil’s Interest:
$$
\text{Interest}_{\text{Anil}} = 150000 \times \frac{6}{100} = 9000
$$

– Sunil’s Interest must also follow the act provisions:
$$
\text{Interest}_{\text{Sunil}} = 200000 \times \frac{6}{100} = 12000
$$

Total Interest = 9000 + 12000 = Rs. 21,000

Key Concept: Scenario Analysis, Advanced Journal Entry

b) Debit Profit and Loss Adjustment \$30,000; Credit B’s Capital \$30,000.

[Solution Description] First, determine the total unrecorded salary for B over three years. Unrecorded per year = $20,000 – 20,000/2 = 10,000$. Over three years, it becomes $10,000 \times 3 = 30,000$

Journal Entry:

Debit Profit and Loss Adjustment Account \$30,000;

Credit Partner B’s Capital Account \$30,000.

This entry increases B’s capital account by the omitted amount without affecting other partners’ shares.

Key Concept: Complex Dates

b) Rs. 194.28

[Solution Description] To calculate the interest on Sunil’s drawings:

– Interest calculation for each withdrawal using respective time periods till the financial year’s end (31st March).

– For April 15 withdrawal:

$$\text{Time period} = 11.5 \text{ months}$$

$$I_1 = \left( \frac{{1000 \times 7/100 \times 11.5}}{12} \right)$$

$$I_1 = \text{\Rs 67.08}$$

– For July 20 withdrawal:

$$\text{Time period} = 8.33 \text{ months}$$

$$I_2 = \left( \frac{{1500 \times 7/100 \times 8.33}}{12} \right)$$

$$I_2 = \text{Rs 72.71}$$

– For November 10 withdrawal:

$$\text{Time period} = 4.67 \text{ months}$$

$$I_3 = \left( \frac{{2000 \times 7/100 \times 4.67}}{12} \right)$$

$$I_3 = \text{Rs 54.49}$$

– Total interest:

$$I = I_1 + I_2 + I_3 = 67.08 + 72.71 + 54.49 = \text{Rs 194.28}$$

Key Concept: Transaction Recording

a) Capital Account

[Solution Description] Under the fluctuating capital method, all transactions including interest on drawings are recorded in a single capital account, causing it to fluctuate.

Key Concept: Agreement Nature

b) No

[Solution Description] A written agreement is not mandatory to form a partnership according to the Partnership Act 1932. Partnerships can be formed orally or by conduct as well.

Key Concept: Direct Formula Application

a) Rs. 270

[Solution Description]

The formula for calculating interest is $I = P \times r \times t$. Here, $P = 4500$, $r = 8%$ or 0.08, and $t = \frac{9}{12}$ years.

$$I = 4500 \times 0.08 \times \frac{9}{12} = 4500 \times 0.08 \times 0.75 = 270$$

Hence, the interest is Rs. 270.

Key Concept: Real-World Application, Opening Capital Calculation

d) Rs. 2,685.44 for Sonia, Rs. 2,814.56 for Rina
[Solution Description]
Compute the interest on the adjusted capitals and distribute the profit based on real interest ratio:

Step 1: Calculate Initial Interest Amounts:
\begin{align*}
\text{Sonia’s Interest before withdrawal} &= 1,50,000 \times \frac{7}{100} = 10,500 \\
\text{Rina’s Interest on original capital} &= 1,00,000 \times \frac{7}{100} = 7,000
\end{align*}

Step 2: Adjust for Sonia’s Withdrawal after 6 months:
\begin{align*}
\text{Sonia’s New Capital} &= 1,30,000 \\
&\text{Interest for next 6 months} = 1,30,000 \times \frac{7}{100} \times \frac{6}{12} = 4,550
\end{align*}

Step 3: Add Rina’s Additional Capital for 6 Months:
\begin{align*}
\text{Rina’s Interest on Additional Capital} &= 25,000 \times \frac{7}{100} \times \frac{6}{12} = 875
\end{align*}

Step 4: Total Adjusted Interest:
\begin{align*}
\text{Sonia’s Total Interest} &= 10,500 – 2,950 = 7,550 \\
\text{Rina’s Total Interest} &= 7,000 + 875 = 7,875
\end{align*}

Step 5: Distribute Available Profit Based on Interest Ratio:
\begin{align*}
\text{Interest Ratio} &= \frac{7,550}{15,425} : \frac{7,875}{15,425} = \frac{151}{309} : \frac{158}{309} \\
\text{Sonia’s Share of Profit} &= 5,500 \times \frac{151}{309} = 2,685.44 \\
\text{Rina’s Share of Profit} &= 5,500 \times \frac{158}{309} = 2,814.56
\end{align*}

The division should follow these shares.

Key Concept: No Additions/Withdrawals

c) Rs. 12,600

[Solution Description] With no changes in the capital during the year, the interest is calculated using:

$$\text{Interest} = \frac{\text{Principal} \times \text{Rate} \times \text{Time}}{100}$$

Principal = Rs. 1,80,000, Rate = 7%, Time = 1 year.

$$\text{Interest} = \frac{180000 \times 7 \times 1}{100} = 12600$$

The interest on capital is Rs. 12,600.

Key Concept: Complex Calculation, Real-World Application

b) Rs. 1,650

[Solution Description] To calculate the interest on Manu’s drawings, we need to determine the product for each month’s withdrawals and then sum these products. With monthly withdrawals, the formula for interest is $$\text{Interest} = \text{Amount} \times \text{Rate} \times \frac{\text{Months Left}}{12}$$.

– For April: $$3,000 \times \frac{11}{12} = 2,750$$

– For May: $$3,000 \times \frac{10}{12} = 2,500$$

– For June: $$3,000 \times \frac{9}{12} = 2,250$$

– Continue similarly for each month until March.

Sum the results: $$2,750 + 2,500 + 2,250 + 2,000 + 1,750 + 1,500 + 1,250 + 1,000 + 750 + 500 + 250 = 16,500$$.

Interest = $$16,500 \times 0.1 = \$1,650$$. Manu’s total interest on his drawings is Rs. 1,650 for the year.

Key Concept: Profit Sharing

a) Equally

[Solution Description] According to the Partnership Act, if the partnership deed is silent on the profit-sharing ratio, profits and losses are shared equally among partners.

Key Concept: Interest Calculations, Complex Adjustments

a) Rs. 27,000
[Solution Description]
Interest on a partner’s loan when the deed is silent is given at 12% p.a., while interest on drawings is 6% p.a.

1. Calculate Annual Interest on Partner’s Loan:
$$
\text{Interest on Loan} = 200000 \times 0.12 = 24000 \, \text{Rs. per annum}
$$

2. Calculate Interest on Drawings:
Assuming full-year equivalence for simplicity,
$$
\text{Interest on Drawings} = 50000 \times 0.06 = 3000 \, \text{Rs.}
$$

Total interest owed by the partner to the firm is:
$$
\text{Total Interest Owed} = 24000 + 3000 = 27000 \, \text{Rs.}
$$

Key Concept: Real-world Application, Advanced Reasoning

b) \$30,600 each
[Solution Description]
Total interest on drawings = \$600 + \$800 + \$400 = \$1,800.

Net profit before charging interest on drawings = \$90,000.

Net distributable profit after charging interest on drawings = \$90,000 + \$1,800 = \$91,800.

With equal sharing, each partner receives = \$91,800 / 3 = \$30,600.

Key Concept: Profit and Loss Appropriation Account

c) To distribute profits among the partners based on their agreement

[Solution Description] The Profit and Loss Appropriation Account is prepared to show the distribution of net profit among partners, including appropriations like interest on capital, salaries to partners, commission, and transfer to reserves.

Key Concept: Real-World Application, Advanced Calculations

c) Rs. 6,667

[Solution Description]

The total profit is Rs. 90,000.

Profit shares are:

$$\text{X’s share} = \frac{3}{6} \times 90,000 = 45,000$$

$$\text{Y’s share} = \frac{2}{6} \times 90,000 = 30,000$$

$$\text{Z’s share} = \frac{1}{6} \times 90,000 = 15,000$$

Since Z is guaranteed Rs. 25,000, the deficiency is:

$$25,000 – 15,000 = 10,000$$

Assuming the deficiency is borne in the ratio 2:1 between X and Y:

$$\text{Y’s contribution} = \frac{2}{3} \times 10,000 = 6,666.\overline{6}$$

Therefore, Y has to make good Rs. 6,667 (rounded).

Key Concept: Profit Distribution

c) Rs. 11,220

[Solution Description] First, we need to find Babu’s share of the profit after accounting for all incomes and expenses:

Total net profit before any appropriation is Rs. 35,660.

After subtracting Amit’s salary (\$1,000/month x 12 months = \$12,000), the remaining profit is:

$$35,660 – 12,000 = 23,660$$

Deducting Babu’s commission of Rs. 5,000 gives:

$$23,660 – 5,000 = 18,660$$

The remaining profit of Rs. 18,660 will be distributed among Amit, Babu, and Charu in a ratio of 3:2:1.

Babu’s share is calculated as follows:

$$\text{Babu’s Share} = 18,660 \times \frac{2}{6} = 6,220$$

Adding Babu’s commission back gives his total share:

$$6,220 + 5,000 = 11,220$$

Hence, Babu’s total share in profit including his commission is Rs. 11,220.

Key Concept: Advanced Timing Impact, Partner Dynamics

c) Rs. 546.67
[Solution Description]
Monthly middle withdrawals:
$$
\text{Interest}_{monthly} = \frac{2,000 \times 8 \times 6}{100 \times 12} = 80.00
$$

Additional withdrawal for 7 months (from month 6 to 12):
$$
\text{Interest}_{additional} = \frac{10,000 \times 8 \times 7}{100 \times 12} = 466.67
$$

Total Interest = $$80.00 + 466.67 = 546.67$$

Therefore, the total interest amounts to Rs. 546.67.

Key Concept: Omission Effect

a) Increase by \$200
[Solution Description]
The omission of interest on capital means that the capital account is underrepresented by the interest amount, therefore, it should be increased by \$200. The positive adjustment corrects this underrepresentation.

Key Concept: Profit Sharing Ratio

a) Rs.24,000
[Solution Description] To calculate the share, we find the total parts by summing the ratio 4+3+2 = 9 parts. Then, the share for the second partner is calculated as follows:
\begin{equation*}
\text{Second Partner’s Share} = \frac{3}{9} \times 72000 = 24000
\end{equation*}

Key Concept: Profit Sharing Disputes

a) Equally among partners
[Solution Description]
Without specific arrangements, partnerships assume equal sharing of profits regardless of individual contributions unless otherwise stated in the partnership agreement. The law generally favors equality in distribution unless disproved by concrete agreements. Thus, any claim for a larger share based solely on more work done without prior agreement cannot alter the default equal distribution.

Key Concept: Impact of Withdrawal Dates

b) Decreases by Rs. 29.17

[Solution Description] Calculate interest separately for each withdrawal using their respective periods until the end of the year. For March 1 withdrawal:

$$\text{Interest}_{March} = 10000 \times \frac{7}{100} \times \frac{10}{12} = 583.33$$

For September 30 withdrawal:

$$\text{Interest}_{September} = 15000 \times \frac{7}{100} \times \frac{3}{12} = 262.50$$

Add these to get the total interest: $$583.33 + 262.50 = 845.83$$.

Now consider withdrawing both amounts together on June 1 (\$25,000\$):

$$\text{Interest}_{June} = 25000 \times \frac{7}{100} \times \frac{6}{12} = 875$$

Thus, withdrawing separately results in lesser total interest by comparing the two: $$875 – 845.83 = 29.17$$.

Key Concept: Scenario-based Decision, Method Suitability

c) Transition to a fluctuating capital method for better real-time accuracy.
[Solution Description] The fluctuating capital method allows each partner’s capital account to adjust dynamically with every alteration in their contribution. This method seamlessly integrates fluctuations in investments and draws, making it suitable for partnerships facing frequent capital changes.

Key Concept: Dispute Resolution

b) Mediation
[Solution Description] Mediation is often employed as a way to resolve disputes among partners. It involves an impartial third party who helps facilitate discussion and negotiation, aiming for a mutually acceptable solution without going through litigation.

Key Concept: Method Selection, Scenario Analysis

b) Stability of capital contributions
[Solution Description]
Significant variations in partner contributions suggest that tracking fluctuations is vital, hence the choice of method affects how accurately these fluctuations are reported. The fluctuating capital method dynamically tracks these changes directly within the capital account without needing adjustments through a current account.

Key Concept: Real-World Application, Scenario-Based Decision Making

b) Partner B
[Solution Description] For Partner A, applying the product method:

Calculate the product for 12 monthly withdrawals:

$$
\text{Total Product} = 5000(1+2+\ldots+12) = 5000 \times 78 = 390000
$$

Interest for Partner A:
$$
\text{Interest_A} = 390000 \times \frac{6}{100} \times \frac{1}{12} = 1950
$$

For Partner B, there is only one withdrawal of Rs. 30000 with 6-month period till December:

$$
\text{Interest_B} = 30000 \times \frac{6}{100} \times \frac{6}{12} = 900
$$

Hence, Partner B’s choice results in lower interest.

Key Concept: Profit Calculation

b) \$3,600
[Solution Description] Partner H’s share = Total Profit $\times \frac{1}{5}$. Thus, Partner H’s share = $\$18,000 \times \frac{1}{5} = \$3,600.$

Key Concept: Complex Interest Calculation, Real-World Application

b) Rs. 6,000
[Solution Description]
The formula for calculating interest on capital is $I = P \times R \times T$, where $P$ is the principal amount, $R$ is the rate of interest, and $T$ is time in years.

Step 1: Calculate Original Capital Interest
Initial capital = Rs. 50,000
Rate = 10%
Time = 12 months or 1 year

$$
I_{original} = 50,000 \times \frac{10}{100} \times 1 = 5,000
$$

Step 2: Calculate Additional Capital Interest
Additional capital = Rs. 20,000
Time from July to December = 6/12 or 0.5 year

$$
I_{additional} = 20,000 \times \frac{10}{100} \times \frac{6}{12} = 1,000
$$

Step 3: Total Interest
Total Interest = $$I_{original} + I_{additional}$$

$$
Total\ Interest = 5,000 + 1,000 = 6,000
$$

Since the firm’s profit is Rs. 6,000, which equals the calculated interest, the entire interest amount can be allowed.

Key Concept: Basic Ratio Understanding

c) \$24,000

[Solution Description] The profit of \$40,000 needs to be distributed in the ratio 3:2. To find Partner X’s share, calculate as follows:

Total ratio = $$3 + 2 = 5$$

Share of Partner X = $$\left(\frac{3}{5}\right) \times 40,000$$

Calculating the above expression gives:

$$\left(\frac{3}{5}\right) \times 40,000 = 24,000$$

Therefore, Partner X will receive \$24,000.

Key Concept: Complex Scenarios, Changes in Partnership

b) Based on initial capital contributions: 60%, 30%, 10%.
[Solution Description] According to the Indian Partnership Act, if there is no agreement on profit sharing, profits and losses are shared equally among partners unless specified otherwise later. Mid-term changes require consent from all partners. Assuming unanimous agreement on new contribution-based distribution, profits would be shared according to their respective contributions: 60% for A, 30% for B, and 10% for C.

Key Concept: Interest and Salary Adjustments

b) $19,000
[Solution Description]

The net profit of the firm is $36,000.
Before distributing this profit equally, adjustments must be made for J’s salary and interest on capital.

1. First, calculate total adjustments for J:

   • Interest on capital = $2,000

   • Salary = $4,000

   • Total adjustment = $2,000 + $4,000 = $6,000

2. Next, subtract the total adjustment from the net profit to find the remaining profit:

   • Remaining profit = Net profit – Total adjustment

   • Remaining profit = $36,000 – $6,000 = $30,000

3. Since the question mentions equal distribution after adjustments, it is assumed there are two partners.
   Thus, each partner’s share of the remaining profit =
   \[
   \frac{30,000}{2} = 15,000
   \]

4. Finally, J’s total adjusted profit share will be:

   • J’s interest + J’s salary + J’s share of remaining profit

   • Total = $2,000 + $4,000 + $15,000 = $19,000

5. ✅ Therefore, J’s adjusted profit share is $19,000.