By selling a book for Rs. 119,the profit perc | vedclass

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(C) Let the cost price of the book be $x$ rupees.Given that the profit percentage is equal to the cost price,the profit percentage is $x\%$.Profit = $

Vedclass · Accepted Answer

$70$

Vedclass · Answer

(C) Let the cost price of the book be $x$ rupees.Given that the profit percentage is equal to the cost price,the profit percentage is $x\%$.Profit = $\frac{x}{100} 	imes x = \frac{x^2}{100}$.Selling Price = Cost Price + Profit.$119 = x + \frac{x^2}{100}$.Multiplying by $100$,we get $11900 = 100x + x^2$.Rearranging into a quadratic equation: $x^2 + 100x - 11900 = 0$.Factoring the equation: $x^2 + 170x - 70x - 11900 = 0$.$x(x + 170) - 70(x + 170) = 0$.$(x - 70)(x + 170) = 0$.Since the cost price cannot be negative,$x = 70$.Therefore,the cost price of the book is Rs. $70$.

By selling a book for Rs. $119$,the profit percentage is equal to the cost price in rupees. Find the cost price of the book.

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