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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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