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A flat-screen television was marked down by percent, which reduced its price by . What was the original cos of the television before it was marked down?(A) (B) (C) (D)
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Q. A flat-screen television was marked down by percent, which reduced its price by . What was the original cos of the television before it was marked down?(A) (B) (C) (D)
- Denote Original Cost: Let's denote the original cost of the television as . We know that the television was marked down by %, which means the reduction in price was % of the original cost. This reduction is given as \(115\).\(65\). We can set up the equation as follows:\(\newline\)\[ 0.35x = 115.65 \]
- Set Up Equation: To find the original cost \( x \), we need to divide both sides of the equation by \(0\).\(35\):\(\newline\)\[ x = \frac{115.65}{0.35} \]
- Find Original Cost: Now, let's perform the division to find the value of \( x \):\(\newline\)\[ x = 330.42857142857144 \]\(\newline\)This value is approximately . when rounded to the nearest cent.
- Perform Division: We can check our work by calculating % of \(330\).\(43\) to ensure it equals .:This is approximately $\(115\).\(65\), which matches the given reduction in price, confirming our solution is correct.
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