GAUSS7 2007 Problem 24

In the multiplication shown, P,Q and R are all different digits so that

\begin{array}{r}P P Q \\ \times \quad Q \\ \hline R Q 5 Q\end{array}

What is the value of P+Q+R?

Answer Choices
A. 20
B. 13
C. 15
D. 16
E. 17