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    Question

    A shopkeeper sells an item at a profit of 20%. If he had

    sold it for ₹ 200 less, he would have suffered a loss of 20%. Find the purchase price (in ₹) of the item.
    A ₹500 Correct Answer Incorrect Answer
    B ₹400 Correct Answer Incorrect Answer
    C ₹550 Correct Answer Incorrect Answer
    D ₹450 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Given: Profit = 20% Loss (if sold ₹200 less) = 20% Find the Cost Price (CP) Let CP = ₹x Selling Price at 20% profit = ₹1.2x Selling Price at 20% loss = ₹0.8x Now given: 1.2x − 0.8x = ₹200 ⇒ 0.4x = 200 ⇒ x = ₹500

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