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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