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      Question

      A shopkeeper sets the marked price of an item at 50%

      higher than its cost price. He then offers two successive discounts of 20% and m% on the marked price, resulting in an overall loss of 16% on the transaction. What is the value of m ?
      A 25 Correct Answer Incorrect Answer
      B 30 Correct Answer Incorrect Answer
      C 20 Correct Answer Incorrect Answer
      D 15 Correct Answer Incorrect Answer
      E 10 Correct Answer Incorrect Answer

      Solution

      Let the cost price of the article be Rs. 'x' Marked price of the article = x X 1.5 = Rs. '1.5x' Selling price of the article = x X 0.84 = Rs. '0.84x' 1.5x X 0.8 X {1 - (m/100) } = 0.84x Or, 1 - (m/100) = (0.84x/1.2x) Or, 1 - (m/100) = 0.7 Or, (m/100) = 0.3 So, m = 30

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