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      Question

      The average cost price of two items, A and B, is Rs. 600

      each. They are sold at profits of 15% and 20% respectively. If the combined selling price of both items amounts to Rs. 1412, determine the cost price of item B.
      A Rs. 560 Correct Answer Incorrect Answer
      B Rs. 640 Correct Answer Incorrect Answer
      C Rs. 500 Correct Answer Incorrect Answer
      D Rs. 700 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let cost price of article A be Rs. x Cost price of article B = Rs. ‘1200 – x’ According to question; 1.15x + 1.2 × (1200 – x) = 1412 1.15x – 1.2x = 1412 – 1440 0.05x = 28 x = 560 Cost price of article B = 1200 – 560 = Rs. 640

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