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CLAT CLAT Solved Paper-2019

  • question_answer
    A book seller sold a box of 10 pencils for ` 80 and incurred a loss. Had he sold it for ` 98, his gain would have been twice the loss he incurred earlier. The cost price of the box of pencils is

    A) ` 84

    B)                    ` 86   

    C) ` 88                 

    D) ` 90

    Correct Answer: B

    Solution :

    Sol.      [b] Let CP of 1 box = ` x Case I: SP of 1 box = ` 80 \[\therefore \]Loss on 1 box = CP - SP = x - 80 Case II: SP of 1 box = ` 98 \[\therefore \] Gain on 1 box = SP - CP = 98 - x According to the question, Gain on Case II = \[2\,\times \,Loss\,on\,Case\,I\] \[98\,-\,x=2(x-80)\,\Rightarrow \,98-x-2x-160\] \[3x=\,258\Rightarrow \,x=\,\frac{258}{3}\]             x = ` 86 \[\therefore \] Cost of each box is ` 86.


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