CLAT Sample Paper CLAT Sample Paper-10

  • question_answer
    A, B and C scored 581 runs such that four times A's runs are equal to 5 times B's runs, which are equal to seven times C's runs. Determine the difference between A's runs and C's runs.

    A)  125                 

    B)         120                 

    C)  105                 

    D)         90                   

    Correct Answer: C

    Solution :

    Given,    \[4A=5B=7C\] \[\Rightarrow \]   \[\frac{A}{35}=\frac{B}{28}=\frac{C}{20}\] So,       \[A & :\,B:\,C=35\,\,:\,\,28\,\,:\,\,20\] A?s Runs \[=\frac{35}{35+28+20}\times 581=245\] C?s Runs \[=\frac{20}{83}\times 581=140\] \[\therefore \] Difference between A's score and B's score = (245 - 140) = 105

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