1953 AHSME Problems/Problem 2

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Problem

A refrigerator is offered at sale at $250.00 less successive discounts of 20% and 15%. The sale price of the refrigerator is:

$\textbf{(A) } \text{35\% less than 250.00} \qquad \textbf{(B) } \text{65\% of 250.00} \qquad \textbf{(C) } \text{77\% of 250.00} \qquad  \textbf{(D) } \text{68\% of 250.00} \qquad \textbf{(E) } \text{none of these}$

Solution

The first discount takes off $20\%$ of the price, so the cost of the refrigerator is $0.8\cdot250$. The next discount takes off $15\%$, so the cost of the refrigerator is now $0.85\cdot0.8\cdot250=0.68\cdot250$. Thus, the sale price of the refrigerator is $\boxed{\textbf{(D)} \text{68\% of 250.00}}$.

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