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      Question

      A shopkeeper purchased an item for Rs. ‘p’. He added

      Rs. 3,200 to the cost price to determine the marked price. He then applied two successive discounts of 10% and 20% on the marked price before selling the item. If he earned a profit of Rs. 512 from this sale, what was the final selling price of the item.
      A 6912 Correct Answer Incorrect Answer
      B 5250 Correct Answer Incorrect Answer
      C 7750 Correct Answer Incorrect Answer
      D 9850 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Marked price of the article = Rs. (x + 3200)

      Selling price of the article = 0.90 × 0.80 × (x + 3200) = x + 512

      0.72x + 2304 = x + 512

      0.28x = 1792

      x = 6400

      So, the selling price of the article = 6400 + 512 = Rs. 6,912

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