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If a shopkeeper buys a geometry box for ₹75 and sells it for ₹110, what is his profit margin with respect to the cost?

Mathematics

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Answer

46.67%46.67\%

Step-by-step solution

3 steps

  1. Identify the given values.

    The cost price (CP) of the geometry box is ₹75.
    The selling price (SP) of the geometry box is ₹110.

  2. Calculate the profit.

    Profit is the difference between the selling price and the cost price.

    Profit=SP−CP\text{Profit} = \text{SP} - \text{CP} Profit=110−75\text{Profit} = 110 - 75 Profit=35\text{Profit} = 35

    The profit is ₹35.

  3. Calculate the profit margin with respect to the cost.

    Profit margin (percentage profit) is calculated as (Profit / Cost Price) ×\times 100%.

    Profit Margin=ProfitCP×100%\text{Profit Margin} = \frac{\text{Profit}}{\text{CP}} \times 100\% Profit Margin=3575×100%\text{Profit Margin} = \frac{35}{75} \times 100\% Profit Margin=715×100%\text{Profit Margin} = \frac{7}{15} \times 100\% Profit Margin≈0.4666...×100%\text{Profit Margin} \approx 0.4666... \times 100\% Profit Margin≈46.67%\text{Profit Margin} \approx 46.67\%

    The shopkeeper's profit margin with respect to the cost is 46.67%\boxed{46.67\%}.

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