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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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