CLAT Sample Paper CLAT Sample Paper-2

  • question_answer
    If the cost of 4 books and 5 notebooks is Rs 32 and the cost of 4 notebooks and 5 books is Rs.31. The cost of each book is

    A)  2    

    B)  3    

    C)  4      

    D)  5

    Correct Answer: B

    Solution :

    Let the number of books and notebooks be a and b respectively. We have, \[4a+5b=32\] ?(i) and        \[5a+4b=31\]                 ?(ii) On multiplying Eq. (i) by 4 and Eq. (iii) by 5 and then subtracting, we get \[\begin{align}   & \,\,16a+20b=128 \\  & \underline{\begin{align}   & \,\,25a+20b=155 \\  & \,-\,\,\,\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,- \\ \end{align}} \\  & \,\,\,\,\,\,\,\,\,\,\,-9a=-27 \\ \end{align}\] \[a=3\]


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