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Calculate the Net Profit before appropriation, given Q's share of divisible profit is ₹1,60,000, P and Q's profit sharing ratio is 2:1, interest on capital is 6% p.a., and interest on drawings is 10%

Accounting

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Answer

C) ₹5,60,000\text{C) ₹5,60,000}

Step-by-step solution

4 steps

To find the Net Profit of the firm before any appropriation, we will work backward from the divisible profit.

  1. Calculate the total divisible profit.

    Q's share of net divisible profit is ₹1,60,000.
    The profit and loss sharing ratio for P and Q is 2:1. This means Q's share is 13\frac{1}{3} of the total divisible profit.
    Let the total divisible profit be XX.

    13X=₹1,60,000\frac{1}{3} X = ₹1,60,000 X=₹1,60,000×3=₹4,80,000X = ₹1,60,000 \times 3 = ₹4,80,000

    So, the total divisible profit is ₹4,80,000.

  2. Calculate the total Interest on Capital (IOC).

    Interest on capital is allowed at 6% p.a.
    P's capital = ₹12,00,000
    Q's capital = ₹8,00,000
    P's IOC = ₹12,00,000×6100=₹72,000₹12,00,000 \times \frac{6}{100} = ₹72,000
    Q's IOC = ₹8,00,000×6100=₹48,000₹8,00,000 \times \frac{6}{100} = ₹48,000
    Total IOC = ₹72,000+₹48,000=₹1,20,000₹72,000 + ₹48,000 = ₹1,20,000

  3. Calculate the total Interest on Drawings (IOD).

    Interest on drawings is charged at 10% p.a.
    P's drawings = ₹2,40,000
    Q's drawings = ₹1,60,000
    Since no date of drawings is given, we assume interest is calculated for the full year on the amount drawn.
    P's IOD = ₹2,40,000×10100=₹24,000₹2,40,000 \times \frac{10}{100} = ₹24,000
    Q's IOD = ₹1,60,000×10100=₹16,000₹1,60,000 \times \frac{10}{100} = ₹16,000
    Total IOD = ₹24,000+₹16,000=₹40,000₹24,000 + ₹16,000 = ₹40,000

  4. Calculate the Net Profit before appropriation.

    The Net Profit before appropriation is calculated using the following relationship:
    Net Profit before appropriation + Total IOD - Total IOC = Total Divisible Profit
    Rearranging the formula to find Net Profit before appropriation:
    Net Profit before appropriation = Total Divisible Profit + Total IOC - Total IOD

    Net Profit before appropriation=₹4,80,000+₹1,20,000−₹40,000\text{Net Profit before appropriation} = ₹4,80,000 + ₹1,20,000 - ₹40,000 Net Profit before appropriation=₹6,00,000−₹40,000\text{Net Profit before appropriation} = ₹6,00,000 - ₹40,000 Net Profit before appropriation=₹5,60,000\text{Net Profit before appropriation} = ₹5,60,000

    The Net Profit of the firm before any appropriation is ₹5,60,000. This matches option (C).

    The final answer is C) ₹5,60,000\text{C) ₹5,60,000}.

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