2018 Cayley Problem 19

In the diagram, two circles overlap. The area of the overlapped region is \frac{3}{5} of the area of the small circle and \frac{6}{25} of the area of the large circle. The ratio of the area of the small circle to the area of the large circle is

\textbf{(A)}\ 18 : 125\quad \textbf{(B)}\ 1 : 3\quad \textbf{(C)}\ 5 : 12\quad \textbf{(D)}\ 2 : 5\quad \textbf{(E)}\ 1 : 4

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.