1978 AHSME Problem 19

A positive integer n not exceeding 100 is chosen in such a way that if n\le 50, then the probability of choosing n is p, and if n > 50, then the probability of choosing n is 3p. The probability that a perfect square is chosen is

\textbf{(A) }.05\qquad \textbf{(B) }.065\qquad \textbf{(C) }.08\qquad \textbf{(D) }.09\qquad \textbf{(E) }.1

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.