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      Question

      If the average cost price of 20 identical pens decreases

      by Rs. 2 after replacing one pen with a new pen that costs Rs. 80, what was the original cost price of the replaced pen?
      A Rs.250 Correct Answer Incorrect Answer
      B Rs.210 Correct Answer Incorrect Answer
      C Rs.120 Correct Answer Incorrect Answer
      D Rs.100 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Let the cost price of each pen be Rs. 'x'

      So, cost price of 20 pencils = Rs. 20x

      ATQ;

      (20x - x + 80) ÷ 20 = x - 2

      Or, 19x + 80 = 20x - 40

      Or, x = 120

      So, cost price of the pen that was removed is Rs. 120.

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