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      Question

      The marked price of the washing machine is 20% above its

      cost price. The seller offers two successive discounts of 10% and 25%, respectively. If he incurs a loss of Rs. 1900, find the price (in rupees) at which he sold the washing machine.
      A Rs. 8100 Correct Answer Incorrect Answer
      B Rs. 7200 Correct Answer Incorrect Answer
      C Rs. 9000 Correct Answer Incorrect Answer
      D Rs. 6300 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the cost price = Rs. x
      Marked price = 120% of x = Rs. 1.20x
      According to the question,
      x - 1.20x × 90% × 75% = 1900
      x - 1.20x × 0.90 × 0.75 = 1900
      x - 0.81x = 1900
      0.19x = 1900 ⟹ x = 10000
      The required selling price = Rs. 10000 - 1900 = Rs. 8100

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