While selling a calculator for Rs. 56,the pro | vedclass

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Question

(A) Let the cost price of the calculator be $x$ rupees.Given that the profit percentage is equal to the cost price,the profit percentage is $x\%$.Prof

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(A) Let the cost price of the calculator be $x$ rupees.Given that the profit percentage is equal to the cost price,the profit percentage is $x\%$.Profit = $	ext{Cost Price} 	imes \frac{	ext{Profit Percentage}}{100} = x 	imes \frac{x}{100} = \frac{x^2}{100}$.Selling Price = $	ext{Cost Price} + 	ext{Profit} = x + \frac{x^2}{100}$.Given that the selling price is Rs. $56$,we have the equation: $x + \frac{x^2}{100} = 56$.Multiplying by $100$,we get $100x + x^2 = 5600$,which simplifies to $x^2 + 100x - 5600 = 0$.Factoring the quadratic equation: $x^2 + 140x - 40x - 5600 = 0$.$x(x + 140) - 40(x + 140) = 0$.$(x - 40)(x + 140) = 0$.Since the cost price cannot be negative,$x = 40$.Therefore,the cost price of the calculator is Rs. $40$.

While selling a calculator for Rs. $56$,the profit percentage is equal to its cost price in rupees. Find the cost price of the calculator.

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