While selling a pen for Rs. 24, the loss perc | vedclass

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(D) Let the cost price of the pen be $x$ rupees.Given that the loss percentage is equal to the cost price, the loss percentage $= x\%$.Loss $= 	ext{C

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Rs. $40$ or Rs. $60$

Vedclass · Answer

(D) Let the cost price of the pen be $x$ rupees.Given that the loss percentage is equal to the cost price, the loss percentage $= x\%$.Loss $= 	ext{Cost Price} - 	ext{Selling Price} = x - 24$.Also, $	ext{Loss} = 	ext{Cost Price} 	imes \frac{	ext{Loss Percentage}}{100} = x 	imes \frac{x}{100} = \frac{x^2}{100}$.Equating the two expressions for loss: $x - 24 = \frac{x^2}{100}$.$100x - 2400 = x^2$.$x^2 - 100x + 2400 = 0$.Factoring the quadratic equation: $(x - 60)(x - 40) = 0$.Therefore, $x = 60$ or $x = 40$.Thus, the cost price of the pen is Rs. $40$ or Rs. $60$.

While selling a pen for Rs. $24$, the loss percentage is equal to its cost price in rupees. Find the cost price of the pen.

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