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Banking Sample Paper IBPS Clerk (Main) Sample Paper Test-1

  • question_answer
    Sumit and Ravindra, two shopkeepers, buy an article for Rs. 800 and Rs. 1600 respectively. Ravindra marks his article up by x% and offers a discount of \[\frac{x}{2}\]%, while Sumit marks his article up by \[\frac{x}{2}\]. If both of them make the same profit, what is the value of x?

    A)  40%                            

    B)  52%                

    C)  60%                

    D)    50%       

    E)  47%

    Correct Answer: D

    Solution :

    Let x be the fractional value of % then Marked price of Ravindra \[=1600(1+x)\] Selling price of Ravindra \[=1600(1+x)\left( 1-\frac{x}{2} \right)\] Profit of Ravindra \[=1600\,(1+x)\left( 1-\frac{x}{2} \right)-1600\] The price marked by Sumit\[=800\left( 1+\frac{x}{2} \right)\] Profit \[=800\left( 1+\frac{x}{2} \right)-800\] Both make the same profit \[=800\left( 1+\frac{x}{2} \right)-800=1600\,(1+x)\left( 1-\frac{x}{2} \right)-1600\] or, \[800+400x-800\] \[=1600\left( 1-\frac{x}{2}+x-\frac{{{x}^{2}}}{2} \right)-1600\] or, \[400x=1600-800x+1600x-800{{x}^{2}}-1600\] or, \[400x=800x-800{{x}^{2}}\] or, \[800{{x}^{2}}-400x=0\] or, \[2{{x}^{2}}-x=0\] or, \[x(2x-1)=0\] or, \[x=\frac{1}{2}\] \[\therefore \]\[x=50%\]


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