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

  • question_answer If \[\frac{5x-3y}{5y-3x}=\frac{3}{4},\] then value of \[\frac{x}{y}\] is

    A)  2 : 9    

    B)  7 : 2

    C)  7 : 9                

    D)  None of these.

    Correct Answer: D

    Solution :

    [d] \[\frac{5x-3y}{5y-3x}=\frac{3}{4}\] \[\Rightarrow \] \[\frac{5-3\left( \frac{y}{x} \right)}{5\left( \frac{y}{x} \right)-3}=\frac{3}{4}\] \[\Rightarrow \] \[20-12\left( \frac{y}{x} \right)=15\left( \frac{y}{x} \right)-9\] \[\Rightarrow \] \[27\left( \frac{y}{x} \right)=29\Rightarrow \frac{y}{x}=\frac{29}{27}\]

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