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एक व्यक्ति ने एक ट्रांजिस्टर 10% की हानि पर Rs.450 में बेचा। ट्रांजिस्टर का क्रय मूल्य ज्ञात कीजिए।

Mathematics

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Answer

Rs. 500\text{Rs. 500}

Step-by-step solution

3 steps

  1. Identify the given values and the unknown.

    The selling price (SP) of the transistor is given as Rs. 450.
    The loss percentage is 10%.
    We need to find the cost price (CP).

  2. Use the formula for selling price with a loss.

    When there is a loss, the selling price is calculated as:

    SP=CP×(1−Loss Percentage100)SP = CP \times \left(1 - \frac{\text{Loss Percentage}}{100}\right)

    Substitute the given values into the formula:

    450=CP×(1−10100)450 = CP \times \left(1 - \frac{10}{100}\right)

  3. Simplify the expression and solve for CP.

    First, calculate the term in the parenthesis:

    1−10100=1−0.10=0.901 - \frac{10}{100} = 1 - 0.10 = 0.90

    Now, the equation becomes:

    450=CP×0.90450 = CP \times 0.90

    To find CP, divide 450 by 0.90:

    CP=4500.90CP = \frac{450}{0.90} CP=450910CP = \frac{450}{\frac{9}{10}} CP=450×109CP = 450 \times \frac{10}{9} CP=45009CP = \frac{4500}{9} CP=500CP = 500

    The cost price of the transistor is Rs. 500.

    This matches option (a).

    The final answer is Rs. 500\text{Rs. 500}.

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