• # question_answer If $\frac{5x-3y}{5y-3x}=\frac{3}{4},$ then value of $\frac{x}{y}$ is A)  2 : 9    B)  7 : 2C)  7 : 9                D)  None of these.

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