Railways Mathematics Ratio Proportion and Partnership Sample Paper Ratio, Proportion & Partnership Sample Test Paper-6

  • question_answer The numerator and denominator of a fraction are in the ratio of 2 : 3. If 6 is subtracted from the numerator, the result is a fraction that has a value 2/3 of the original fraction. The numerator of the original fraction is

    A)  6                    

    B)  18     

    C)  27                   

    D)  36

    Correct Answer: B

    Solution :

    [b] Let the fraction be \[\frac{2x}{3x}\] Now, \[\frac{2x-6}{3x}=\frac{2}{3}\times \frac{2x}{3x}\] \[\Rightarrow \] \[2x-6=\frac{4x}{3}\] \[\Rightarrow \] \[6x-18=4x\] \[\Rightarrow \] \[2x=18\] \[\Rightarrow \] \[x=9\] \[\therefore \] Numerator \[=2x=2\times 9=18\]

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