Question 126

An article was sold ford 96. If percentage of profit was numerically equal to the cost price, the cost price of the article is

Solution

Let the cost price = Rs. $$x$$

=> Profit % = $$x$$%

Acc to ques :

=> $$x + \frac{x}{100} * x = 96$$

=> $$x^2 + 100x - 9600 = 0$$

=> $$x^2 + 160x - 60x - 9600 = 0$$

=> $$x (x + 160) - 60 (x + 160) = 0$$

=> $$(x + 160) (x - 60) = 0$$

=> $$x = -160 , 60$$

Since, cost price cannot be negative

=> Cost price = Rs. 60

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