SSC Sample Paper SSC CGL - Sample Paper-22

  • question_answer
    By giving 25% discount, a trader earns 25% profit. If he sells the item at 10% discount, what is his profit?

    A) 10%                             

    B) 40%

    C) 45%                             

    D) 50%

    Correct Answer: D

    Solution :

    Let the cost price of an item \[=Rs.\,x\] \[\therefore \]      Selling price of the item             \[=Rs.\frac{x\times 125}{100}=Rs.\frac{5x}{4}\] Since, the rate of discount \[=25%\] \[\therefore \]      Marked price of an item             \[=\frac{5x}{4}\times \frac{100}{75}=Rs.\frac{5x}{3}\] New rate of discount \[=10%\] \[\therefore \] New selling price of an item             \[=Rs.\frac{5x}{3}\times \frac{90}{100}=Rs\frac{3x}{2}\] Profit on new selling item on 10% discount             \[=Rs\left( \frac{3x}{2}-x \right)=Rs.\frac{x}{2}\] \[\therefore \] Percentage profit \[=\frac{x/2}{x}\times 100%=50%\]


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