1953 AHSME Problems/Problem 1

A boy buys oranges at for cents. He will sell them at for cents. In order to make a profit of $$ (Error compiling LaTeX. Unknown error_msg)1.00\textbf{(A)}\ 67 \text{ oranges} \qquad \textbf{(B)}\ 150 \text{ oranges} \qquad \textbf{(C)}\ 200\text{ oranges}\\ \textbf{(D)}\ \text{an infinite number of oranges}\qquad \textbf{(E)}\ \text{none of these}$Solution:

The boy buys$ (Error compiling LaTeX. Unknown error_msg)3101\frac{10}{3}\frac{20}{5}=44-\frac{10}{3}=\frac{2}{3}$cents.

To make a profit of$ (Error compiling LaTeX. Unknown error_msg)100\frac{100}{\frac{2}{3}}=\boxed{150}=\boxed{\text{B}}$

~mathsolver101