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    The cost price of 30 articles is the same as the marked price of x articles. If the profit is 20%, then find the value of x.
    Question

    The cost price of 30 articles is the same as the marked price of x articles. If the profit is 20%, then find the value of x.

    A.

    25

    B.

    20

    C.

    35

    D.

    30

    Correct option is A

    Given:

    Cost Price (CP) of 30 articles = Marked Price (MP) of x articles

    Profit = 20%

    Solution:

    Let the cost price of 1 article = ₹1

    Then,

    Total CP of 30 articles = ₹30

    SP of 1 article = ₹1 × 1.2 = ₹1.20

    So, MP of 1 article = SP = ₹1.20

    Now, Total MP of x articles = ₹30

    x×1.20=30 x=301.2=25x \times 1.20 = 30 \\ \ \\ x = \frac{30}{1.2} = 25

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