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    Question

    A merchant sold a gadget incurring a 30% loss. If he had

    marked up the price by 20% and then given a 15% discount, he would have earned Rs. 120 more. Find the cost price of the gadget.
    A Rs. 375 Correct Answer Incorrect Answer
    B Rs. 475 Correct Answer Incorrect Answer
    C Rs. 300 Correct Answer Incorrect Answer
    D Rs. 295 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the cost price be Rs. x Selling at 30% loss → Selling Price = 0.70x Marked up by 20% → Marked Price = 1.2x After 15% discount → New Selling Price = 0.85 × 1.2x = 1.02x Difference in selling price = 1.02x – 0.70x = Rs. 120 So, 0.32x = 120 x = Rs. 375

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