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SSC Sample Paper Mock Test-20 SSC CGL Tear-II Paper-1

  • question_answer
    Two students appeared at an examination: One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are

    A) 42.33%

    B)  43.34%

    C)  41.32%

    D)  39.30%     

    Correct Answer: A

    Solution :

    Let the marks obtained by first student be\[x.\] \[\therefore \]Marks obtained by second student \[=x+9\] Sum of their marks \[=2x+9\] As given,           \[x+9=56%\]of \[(2x+9)\] \[\Rightarrow \]   \[x+9=\frac{56}{100}\times (2x+9)\] \[\Rightarrow \]   \[x+9=\frac{14}{25}\times (2x+9)\] \[\Rightarrow \]   \[25x+225=28x+126\] \[\Rightarrow \]   \[3x=225-126\]\[\Rightarrow \]\[x=\frac{99}{3}=33\] \[\therefore \] Marks obtained are 42 and 33.


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