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SSC Quantitative Aptitude Profit and Loss Question Bank Profit Loss and Discount (II)

  • question_answer
    A shopkeeper sold an item at 10% loss after giving a discount equal to half the marked price. Then, the cost price is        [SSC CGL Tier II, 2014]

    A) \[\frac{1}{9}\text{th}\] of marked price   

    B) \[\frac{4}{9}\text{th}\] of marked price

    C) \[\frac{5}{9}\text{th}\] of marked price

    D) \[\frac{7}{9}\text{th}\] of marked price

    Correct Answer: C

    Solution :

    [c] Let, the marked price be Rs. x. Then,    \[\text{Discount}=\frac{\text{Marked}\,\,\text{price}}{\text{2}}=\text{Rs}\text{.}\,\,\frac{x}{2}\] SP of an item \[=(100-10)%\] of \[CP=\frac{90\times CP}{100}=\frac{9}{10}CP\]                                    ...(i) Also,\[\text{SP}=\text{Markedprice}-\text{Discount}=x-\frac{x}{2}=\frac{x}{2}\]…(ii) Equating Eqs. (i) and (ii), \[\frac{x}{2}=\frac{9}{10}CP\]             \[CP=\frac{10}{18}x=\frac{5}{9}x=\frac{5}{9}\] of marked price


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