In a triangle $PQR$ right angled at $Q$, $QR=12\;cm$ and $PR=20\;cm$ . Triangle $ABC$ is similar to triangle $PQR$ where the vertices P,Q and R are corresponding to the vertices A,B and C. Each side of $\Delta ABC$ is $\large\frac{1}{4}$ the length of the corresponding slides of $\Delta PQR$. What is the value of $\sin C$ ?

Question

$\begin{array}{1 1} (a)\;\large\frac{3}{5} \\ (b)\;\large\frac{4}{5} \\ (c)\;-\large\frac{5}{3} \\(d)\;\large\frac{5}{4} \end{array} $