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      Question

      Two successive discounts of 25% and 10% is equivalent to a

      single discount of how much percentage?
      A 25.5 Correct Answer Incorrect Answer
      B 18.5 Correct Answer Incorrect Answer
      C 32.5 Correct Answer Incorrect Answer
      D 42.5 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the marked price of an article be Rs. '100x'

      Selling price after two successive discounts of 25% and 10% =100x × 0.75 × 0.90 = Rs. '67.5x'

      So, equivalent single discount =

      {(100x - 67.5x)/100x} = 32.5%

      Alternate solution:

      Required discount = 25 + 10 - (25 × 10)/100= 35 - 2.5 = 32.5%

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