1954 AHSME Problems/Problem 7

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Problem 7

A housewife saved $\textdollar{2.50}$ in buying a dress on sale. If she spent $\textdollar{25}$ for the dress, she saved about:

$\textbf{(A)}\ 8 \% \qquad \textbf{(B)}\ 9 \% \qquad \textbf{(C)}\ 10 \% \qquad \textbf{(D)}\ 11 \% \qquad \textbf{(E)}\ 12\%$

Solution

$25\cdot x=25-2.5\implies 100x=100-10\implies x=\frac{9}{10}$ $100(1-x)\implies 100(\frac{1}{10})=10\%$, so $\fbox{C}$