Question : If $\frac{x}{4 y}=\frac{3}{4}$ then, the value of $\frac{2 x+3 y}{x–2 y}$ is:
Option 1: 7
Option 2: 9
Option 3: 6
Option 4: 8
Correct Answer: 9
Solution : Given: $\frac{x}{4 y}=\frac{3}{4}$ ⇒ $x=3y$ The value of the expression $\frac{2x+3y}{x–2y}=\frac{2\times 3y+3 y}{3y–2 y}=\frac{6y+3y}{y}=\frac{9y}{y}=9$ Hence, the correct answer is 9.
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