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      Question

      An article is sold for Rs. 980, yielding a profit that

      is twice the amount lost when the article is sold for Rs. 458. Determine the selling price required for the shopkeeper to achieve a 45% profit.
      A Rs. 912.40 Correct Answer Incorrect Answer
      B Rs. 928.40 Correct Answer Incorrect Answer
      C Rs. 916.40 Correct Answer Incorrect Answer
      D Rs. 936.40 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let cost price of the article is Rs. 100x. According to question; 980 – x = 2 × (x – 458) Or, 980 – x = 2x – 916 Or, 3x = 1896 Or, x = 632 Desired selling price = 1.45 × 632 = Rs. 916.40

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