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

  • question_answer
    Articles are marked at a price which given a profit of 25%. After allowing a certain discount the profit reduces to \[12\frac{1}{2}%.\] The discount per cent is [SSC CGL Tier II, 2015]

    A) 10

    B) \[12\frac{1}{2}\]

    C) 11.1

    D) 12

    Correct Answer: A

    Solution :

    [a] Let, the cost price of article be Rs. x and given discount is m%. Then Marked price of article \[=x+25%\] of x                         \[=\frac{x\times 125}{100}=\text{Rs}\text{.}\,\,125x\] Now, according to the question, \[(100-m)%\] of \[125x=x+12\frac{1}{2}%\] of x \[\Rightarrow \]   \[\frac{125x\times (100-x)}{100}=x+\frac{x\times 25}{2\times 100}\] \[\Rightarrow \]   \[\frac{1.25x\times (100-m)}{100}=\frac{225x}{200}\] \[\Rightarrow \]   \[125-1.25m=112.5\]\[\Rightarrow \]\[1.25m=12.5\] \[\therefore \]      \[m=10%\]


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