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    Question

    If, on a marked price, the difference between selling

    prices with a discount of 65% and with two successive discounts of 30% and 40% is ₹105, then the marked price (in ₹) is: 
    A 1,650 Correct Answer Incorrect Answer
    B 1,050 Correct Answer Incorrect Answer
    C 1,500 Correct Answer Incorrect Answer
    D 1,320 Correct Answer Incorrect Answer

    Solution

    Let the marked price be ₹x. Selling price with 65% discount = x × 0.35
    Selling price with successive 30% and 40% discounts = x × 0.70 × 0.60 = x × 0.42 Difference = x × 0.42 − x × 0.35 = 105
    x(0.42 − 0.35) = 105
    x × 0.07 = 105
    x = 105 / 0.07 = ₹1500

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