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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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