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    From the following information about a firm, what will be the contribution to sales (c/s) ratio and the profit?Sales = ₹ 100,000Fixed Cost = ₹ 20,000B
    Question

    From the following information about a firm, what will be the contribution to sales (c/s) ratio and the profit?
    Sales = ₹ 100,000
    Fixed Cost = ₹ 20,000
    Break-even Point = ₹ 40,000

    A.

    C/S = 25% and Profit = ₹ 60,000

    B.

    C/S = 50% and Profit = ₹ 30,000

    C.

    C/S = 50% and Profit = ₹ 60,000

    D.

    C/S = 60% and Profit = ₹ 30,000

    Correct option is B

    Step 1: Calculate Contribution to Sales (C/S) Ratio

    The Contribution to Sales (C/S) Ratio, also known as the Profit-Volume Ratio (P/V Ratio), is calculated using the formula:

    where Contribution is given by:

    Contribution = Sales−Variable Cost

    Since we are not directly given the variable cost, we use the Break-even Point (BEP) formula:

    Given:

    • Fixed Cost (FC) = ₹20,000
    • Break-even Sales = ₹40,000

    Rearranging:

    Step 2: Calculate Profit

    Profit = Total Contribution−Fixed Cost

    Total Contribution:

    = C/S Ratio×Total Sales
    = 50%×100,000
    = 50,000

    Profit = 50,000 − 20,000
    Profit = 30,000

    Information Booster:

    • Contribution to Sales (C/S) Ratio (or P/V Ratio) helps in understanding the profitability of a product. A higher C/S ratio indicates that a greater proportion of sales contributes to covering fixed costs and generating profit.
    • Break-even Sales is the point where the company makes neither a profit nor a loss. It is important for decision-making and cost management.
    • Profit Calculation involves subtracting fixed costs from total contribution, which shows how much actual profit remains after covering all fixed expenses.

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