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Question 82
A person sold his pen for Rs 24 and his profit percentage was numerically equal to the cost price. What was the cost price (in Rs) of the pen?
Solution
Let cost price of pen = Rs. $$x$$
Selling price = Rs. 24
According to ques,
Profit % = $$\frac{24-x}{x}\times100=x$$
=> $$2400-100x=x^2$$
=> $$x^2+100x-2400=0$$
=> $$x^2+120x-20x-2400=0$$
=> $$x(x+120)-20(x+120)=0$$
=> $$(x-20)(x+120)=0$$
=> $$x=20,-120$$
$$\because$$ Cost price can't be negative, => $$x=Rs.$$ $$20$$
=> Ans - (D)
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