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SSC Sample Paper SSC CGL - Sample Paper-6

  • question_answer
    A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was

    A)  8                    

    B)  12

    C)  16                               

    D)  24

    Correct Answer: A

    Solution :

    Let the number of persons be x. Then, \[\frac{96}{x-4}-\frac{96}{x}=4\] \[\Leftrightarrow \]           \[\frac{1}{x-4}-\frac{1}{x}=\frac{4}{96}\] \[\Leftrightarrow \]           \[\frac{x-(x-4)}{x(x-4)}=\frac{1}{24}\]    \[\Leftrightarrow {{x}^{2}}-4x-96=0\] \[\Leftrightarrow \]           \[(x-12)(x+8)=0\] \[\Leftrightarrow \] \[x=12\] So, required number \[=x-4=8\]  


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