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      Question

      Cost price of article M is Rs.200 less than the cost price

      of article N. Article N is sold at a loss of 20% and article M is sold at a profit of 25%. On the whole, there is no profit and no loss. Find the respective ratio of cost prices of article M and article N.
      A 4:5 Correct Answer Incorrect Answer
      B 5:6 Correct Answer Incorrect Answer
      C 3:4 Correct Answer Incorrect Answer
      D 2:3 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let, CP of article N = Rs.P
      CP of article M = Rs.(P - 200)
      Total CP of article M and article N = P + P - 200 = Rs.(2P - 200)
      SP of article N = P x 80/100 = 4P/5
      SP of article M = (P - 200) x 125/100 = (P - 200) x 5/4 = 5P/4 - 250
      According to the question
      2P - 200 = 4P/5 + 5P/4 - 250
      => 250 - 200 = 4P/5 + 5P/4 - 2P
      => 50 = (16P + 25P - 40P)/20
      => 1000 = P
      CP of N = Rs.1000
      CP of M = 1000 - 200 = Rs.800
      Required ratio = 800/1000 = 4:5

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