Find the percent markup based on selling price, if the percent markup based on the cost is \( 33 \% \). (Round to the nearest tenth percent) select one: a. \( 55.0 \% \) ob. \( 123 \% \) o c. \( 25 \% \) o d. \( 24.33 \% \)
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Bonus Knowledge
To calculate the percent markup based on the selling price when the percent markup based on the cost is \(33\%\), you can follow this formula: 1. Let's define the cost as \(C\) and the selling price as \(S\). If the markup based on cost is \(33\%\), then we have: \(S = C + 0.33C = 1.33C\) 2. To find the percent markup based on selling price, we use the formula: \(\text{Percent Markup based on Selling Price} = \frac{S - C}{S} \times 100\) Substituting the expression for \(S\): \(\text{Percent Markup based on Selling Price} = \frac{1.33C - C}{1.33C} \times 100 = \frac{0.33C}{1.33C} \times 100\) This simplifies to: \(\text{Percent Markup based on Selling Price} = \frac{0.33}{1.33} \times 100 \approx 24.81\%\) When rounded to the nearest tenth percent, the percent markup based on the selling price is approximately \(24.8\%\), which is not an exact match for any of the options provided, but is closest to \(24.33\%\) based on rounding standards. Thus, the answer is: d. \(24.33 \%\)