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

  • question_answer
    A man sells an article at 5% above its cost price. If he had bought it at 5% less than what he had paid for it and sold it at Rs. 2 less, he would have gained 10%. The cost price of the article is [SSC CGL Tier II, 2015]

    A) Rs. 100

    B) Rs. 200

    C) Rs. 400

    D) Rs. 300

    Correct Answer: C

    Solution :

    [c] Let, the cost price of article is Rs. x. Then, Selling price of article \[=\frac{x\times 105}{100}=\text{Rs}.\,\,1.05x\] According to the questions, x of 95% of\[110%=1.05x-2\] \[\Rightarrow \]\[\frac{x\times 95\times 110}{100\times 100}=1.05x-2\]\[\Rightarrow \] \[1.045x=1.05x-2\] \[\Rightarrow \] \[1.05x-1.045x=2\]           \[\Rightarrow \]\[0.005x=2\] \[\therefore \]      \[x=\text{Rs}\text{.}\,400\]


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