CLAT Sample Paper CLAT Sample Paper-7

  • question_answer
    A trader marks his goods at 20% above the cost price. If the allows a discount of 5% on the marked price, what profit per cent does he make?

    A)  14%  

    B)  16%  

    C)  18%   

    D)  20%

    Correct Answer: A

    Solution :

    Let the cost price = Rs x \[\therefore \] Marked price \[=x+20%\] of x \[=x+\frac{x}{5}=\text{Rs}\,\frac{6x}{5}\] Selling price \[=\left( \frac{6x}{5}-5%\,\,\text{of}\,\frac{6x}{5} \right)\] \[=\frac{6x}{5}\,\left( 1-\frac{1}{20} \right)\] \[=\frac{6x}{5}\times \frac{19}{20}=\text{Rs}\,\,\frac{57}{50}x\] \[\therefore \] Profit \[=\frac{57x}{50}-x=\text{Rs}\,\frac{7x}{50}\] \[\therefore \] Profit per cent \[=\frac{7x/50}{x}\times 100=14%\]

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