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    ​A shopkeeper buys a bicycle for ₹3,500 and sells it at a 20% discount, making no profit or loss. What is the marked price of the bicycle?
    Question

    ​A shopkeeper buys a bicycle for ₹3,500 and sells it at a 20% discount, making no profit or loss. What is the marked price of the bicycle?

    A.

    ₹3,475

    B.

    ₹5,374

    C.

    ₹7,343

    D.

    ₹4,375

    Correct option is D

    Given:

    Cost Price (CP) = ₹3,500

    Sold at 20% discount

    No profit, no loss => Selling Price (SP) = CP = ₹3,500

    Find the Marked Price (MP)

    Formula Used:

    SP = MP ×(1Discount100)\times \left(1 - \frac{\text{Discount}}{100}\right)​​

    Solution:

    If SP = CP, then discounted price = CP

    3500 = MP × 0.80

    MP = 35000.80 \frac{3500}{0.80}​ = ₹4375

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