Find the fraction which bears the same ratio to 127 that 3/7 does to 5/9 = ?

Answer: Option B

$$\begin{array}{rl}& \text{Let the fraction is }x\\ & \Rightarrow x:\frac{1}{27}::\frac{3}{7}:\frac{5}{9}\\ & \Rightarrow \frac{x}{\frac{1}{27}}=\frac{\frac{3}{7}}{\frac{5}{9}}\\ & \Rightarrow 27x=\frac{3\times 9}{7\times 5}\\ & \Rightarrow x=\frac{1}{35}\end{array}$$