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      Question

      A shopkeeper made a profit of P% on selling an article

      at a certain price. If the article is sold at 58.33% of the original selling price, the shopkeeper incurs a loss of 16%. Another article is sold at two successive discounts of P/2% and Q%, with a selling price of Rs. 1404 and a cost price of Rs. 1200. Find the value of Q% if the second article is marked up by 100%.
      A 22.5% Correct Answer Incorrect Answer
      B 25% Correct Answer Incorrect Answer
      C 27.5% Correct Answer Incorrect Answer
      D 18% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      According to question, 84% of cost price = 58.333% of selling price of article 21/25 x cost price = 21/36 x selling price Cost price/ selling price = 25/36 Value of P% = (36 – 25)/25 x 100 = 44% Marked price of other article = 1200 x 200% = 2400 So, 2400 x (1 – 44%/2) x (1 – Q %) = 1404 (1 – Q/100) = 0.75 So required value of Q = 25% Hence answer is option B

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