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SSC Sample Paper SSC CGL - Sample Paper-30

  • question_answer
    A candidate who get 20% marks in an examination failed by 30 marks but another candidate who get 32% gets 42 marks more than the pass marks. Then, the percentage of pass marks is

    A) 52%                             

    B) 50%

    C) 33%                             

    D) 25%

    Correct Answer: D

    Solution :

    Let the total marks in an examination be x. Then, passed marks \[=20%\text{ of }x+30\]             \[=\frac{20x}{100}+30=\frac{x}{5}+30\] and also passed marks \[=\text{ }32%\text{ of }x-42\]             \[=\frac{32x}{100}-42=\frac{8x}{25}-42\] \[\therefore \]      \[\frac{x}{5}+30=\frac{8x}{25}-42\] \[\Rightarrow \]   \[\frac{8x-5x}{25}=42+30\] \[\Rightarrow \]   \[x=\frac{72\times 25}{3}=600\] \[\therefore \] Passed marks \[=\frac{600}{5}+30=150\] Hence, percentage of passed marks             \[=\frac{150}{600}\times 100%=25%\]


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