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SSC Sample Paper SSC CGL - Sample Paper-25

  • question_answer
    Two numbers are in the ratio 5 : 7. On diminishing each of them by 40, they became in the ratio 17 : 27. The difference of the numbers is

    A) 18                                

    B) 52      

    C) 137                              

    D) 50

    Correct Answer: D

    Solution :

    Let the numbers are 5x and 7x. \[\therefore \] According to question,             \[\frac{5x-40}{7x-40}=\frac{17}{27}\] \[\Rightarrow \]   \[135x-1080=119x-680\] \[\Rightarrow \]   \[16x=400\] \[\Rightarrow \]   \[~x=25\] \[\therefore \] The difference between the numbers             \[=7x-5x\]             \[=2x=2\times 25\]                         \[=50\]


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