Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-12

  • question_answer
    If the numerator of a fraction is increased by 200% and the denominator is increased by 160%, the resultant fraction is\[\frac{7}{13}\]. What is the original fraction?

    A)  \[\frac{7}{15}\]

    B)         \[\frac{2}{15}\]

    C)  \[\frac{8}{15}\]            

    D)  \[\frac{5}{7}\]

    Correct Answer: A

    Solution :

    Let the original fraction\[=\frac{x}{y}\] According to the questions, \[\frac{x+x\times 200%}{y+y\times 160%}=\frac{7}{13}\] \[\Rightarrow \]   \[\frac{x+\frac{200x}{100}}{y+\frac{160y}{100}}=\frac{7}{13}=\frac{3x}{2.6y}=\frac{7}{13}\] \[\Rightarrow \]   \[\frac{x}{y}=\frac{7}{13}\times \frac{26}{30}=\frac{7}{15}\] Hence, the original fraction is \[\frac{7}{15}.\]

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