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    A man sells a book for ₹75 and gains a percentage equal to the cost price of the book (in ₹ ). What is the cost price of the book?
    Question

    A man sells a book for ₹75 and gains a percentage equal to the cost price of the book (in ₹ ). What is the cost price of the book?

    A.

    ₹50

    B.

    ₹40

    C.

    ₹150

    D.

    ₹37

    Correct option is A

    Given:

    Selling price of the book = ₹75

    Profit percentage = Cost Price of the book

    Formula Used:

    Selling Price (SP) = Cost Price (CP) + Profit

    Profit = (CP×Profit%)100=(x×x)100\frac{(CP × Profit \%) }{100} =\frac{ (x × x) }{ 100}​​

    SP = x + (x2100) (\frac{x² }{ 100})​​

    Solution:

    75 = x + ( x2100\frac{x² }{ 100}​)

    Solving for x, we get:

    x = ₹50.00

    The cost price of the book is ₹50.00.

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