Problem

1967 AHSME Problem 30

A dealer bought n radios for d dollars, d a positive integer. He contributed two radios to a community bazaar at half their cost. The rest he sold at a profit of 8 on each radio sold. If the overall profit was 72, then the least possible value of n for the given information is:

\textbf{(A)}\ 18\qquad \textbf{(B)}\ 16\qquad \textbf{(C)}\ 15\qquad \textbf{(D)}\ 12\qquad \textbf{(E)}\ 11


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


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