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      Question

      Normally, a retailer gives a 15% discount on a laptop.

      But on Republic Day, he offered two successive discounts of 10% each instead. This reduced the selling price of a laptop by Rs. 1020. What is the marked price of the laptop?
      A Rs.20,500 Correct Answer Incorrect Answer
      B Rs.25,500 Correct Answer Incorrect Answer
      C Rs.34,560 Correct Answer Incorrect Answer
      D Rs.25,000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the marked price of the laptop be Rs. 100x. Now, equivalent discount of 2 successive discounts of 10% each = {10 + 10 – (10²/100)} = 19% Extra discount on Republic Day = (19 – 15)% = 4% According to the question, 4% of 100x = 1020 Or, 4x = 1020 Or, x = 255 Or, 100x = 25500 Therefore, marked price of the laptop = Rs. 25,500

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