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SSC Sample Paper Mock Test-13 SSC CGL Tear-II Paper-1

  • question_answer
    If 30% of \[(B-A)=18%\] of (B + A), then the ratio A : B is equal to

    A) 4 : 1     

    B)  1 : 4    

    C)  5 : 4    

    D)  5 : 9

    Correct Answer: B

    Solution :

    \[(B-A)\times \frac{30}{100}=(B+A)\times \frac{18}{100}\] \[\therefore \]      \[\frac{B-A}{B+A}=\frac{18}{30}=\frac{3}{5}\] By componendo and dividendo, \[\frac{2B}{-\,\,2A}=\frac{3+5}{3-5}=\frac{8}{-\,\,2}=\frac{4}{-\,\,1}\] \[\Rightarrow \]   \[\frac{B}{A}=\frac{4}{1}\] \[\Rightarrow \]   \[A:B=1:4\]


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