Multiple Choice Questions on A person selling an article for Rs 96 finds that his loss per cent is one mdash fourth of the amount........... for CDS Exam Preparation

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Multiple Choice Questions

A person selling an article for Rs 96 finds that his loss per cent is one mdash fourth of the amount...........

Quantitative Aptitude (CDS) Profit and loss
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    A person selling an article for Rs. 96 finds that his loss per cent is one — fourth of the amount of rupees that he paid for the article. What can be the

    cost price?

    Only Rs. 160

    Incorrect Answer

    Only Rs. 240

    Incorrect Answer

     Either Rs. 160 or Rs. 240

    Correct Answer

     Neither Rs. 160 nor Rs.240

    Incorrect Answer
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    Explanation:

    Let the cost price of an article = Rs. x
    Selling price of an article = Rs. 96
    According to the question,
    x−96/x×100 =1/4

    x ⇒ 400x - 96 + 400 = x2
    x2 – 400x + 38400 = 0
    x2 – 160x – 240x + 38400 = 0
    x(x – 160x) – 240(x – 160) = 0
    (x – 160) (x – 240) = 0
    x= 160 or 240

    By: Munesh Kumari
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