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    Question

    Asha bought a dress and sold it at a profit of 20%. Had

    she bought it for Rs. 400 less and sold it for Rs. 480 more, she would have earned a profit of 60%. The original cost price of the dress is how much percent more than the reduced cost price of the dress?
    A 16.67% Correct Answer Incorrect Answer
    B 14.28% Correct Answer Incorrect Answer
    C 66.67% Correct Answer Incorrect Answer
    D 33.33% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the original cost price of the dress be Rs. ‘100x’. So the original selling price = 1.20 × 100x = Rs. 120x. Reduced cost price = Rs. (100x – 400). According to question: 1.60 × (100x – 400) = 120x + 480 160x – 640 = 120x + 480 40x = 1120 x = 28. So, the original cost price = Rs 2800 and the reduced cost price = Rs. 2400 So, the desired percentage = 400/2400 × 100 = 16.67%.

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