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Algebra Difficulty 2.7 Junior Find the answer

A refrigerator is offered at sale at $250.00 less successive discounts of 20% and 15%. The sale price of the refrigerator is:
(A) 35% less than 250.00\textbf{(A) } \text{35\% less than 250.00}(B) 65% of 250.00\textbf{(B) } \text{65\% of 250.00}(C) 77% of 250.00\textbf{(C) } \text{77\% of 250.00}(D) 68% of 250.00\textbf{(D) } \text{68\% of 250.00}(E) none of these\textbf{(E) } \text{none of these}

Multiple choice: answer with the letter of the option you want.

Solution

The first discount takes off 20%20\% of the price, so the cost of the refrigerator is 0.8⋅2500.8\cdot250. The next discount takes off 15%15\%, so the cost of the refrigerator is now 0.8⋅0.85⋅250=0.68⋅2500.8\cdot0.85\cdot250=0.68\cdot250. Thus, the sale price of the refrigerator is (D) 68% of 250.00\boxed{\textbf{(D)}\ \text{68\% of 250.00}}.

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.