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    An article was sold at ₹600, making a profit of 20%. The cost price of the article was
    Question

    An article was sold at ₹600, making a profit of 20%. The cost price of the article was

    A.

    ₹720

    B.

    ₹640

    C.

    ₹500

    D.

    ₹480

    Correct option is C

    Given:

    Selling Price (SP) = ₹600

    Profit = 20%

    Find the Cost Price (CP).

    Formula Used:

    SP = CP(1+Profit%100)\left(1+\frac{\text{Profit\%}}{100}\right)​​

    Solution:

    600=CP(1+20100) 600=1.2×CP CP=6001.2=500600 = \text{CP}\left(1+\frac{20}{100}\right) \\ \ \\600 = 1.2 \times \text{CP}\\ \ \\CP = \frac{600}{1.2} = ₹500​​

    Alternate Solution (Exam Trick):

    If 20% profit, then

    CP : SP = 100 : 120

    CP = 600×100120600 \times \frac{100}{120}​ = ₹500

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