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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-7

  • question_answer
    A bus starts with some passengers. At the first stop, one-fifth of the passengers gets down and 40 passengers get in. At the second stop, half of the passengers gets down and 30 get in. The number of passengers now is 70. The number of passengers with which the bus started was:

    A) 40                                

    B) 50

    C) 60                                

    D) 70

    Correct Answer: B

    Solution :

    Let bus starts with x number of passengers. After 1st stoppage, number of passengers =         \[x-\frac{x}{5}+40=\frac{5x-x+200}{5}\] =         \[\frac{4x+200}{5}\] After 2nd stoppage, number of passengers =         \[\frac{4x+200}{5}-\frac{4x+200}{5\times 2}+30\] =         \[\frac{4x+200}{5}-\frac{4x+200}{10}+30\] \[\Rightarrow \,\,\,\,\,\,\,\frac{4x+200}{5}\left( 1-\frac{1}{2} \right)+30=70\,\,(given)\] \[\Rightarrow \,\,\,\,\,\,\,\frac{4x+200}{10}+30=70\] \[\Rightarrow \,\,\,\,\,\,\,4x+200=400\Rightarrow 4x=200\] \[\therefore \,\,\,\,\,\,x=\mathbf{50}\]


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