Question

the sale rack at the department store said that an additional 30 percent discount would be taken on all items. if a dress on the sale rack had an original price of \\$86 and was already marked down by 25 percent, what is final cost of the dress before taxes?

( ) \\$38.70
( ) \\$45.15
( ) \\$47.30
( ) \\$60.20

Explanation:

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<reasoning>

Calculate the first markdown price

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Original Price} = \$86\\ &\text{First Discount} = 25\%\\ &\text{Sale Price} = 86 \times (1 - 0.25) = 86 \times 0.75 = 64.50 \end{aligned}$$

\]

Calculate the final cost after the additional discount

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Additional Discount} = 30\%\\ &\text{Final Cost} = 64.50 \times (1 - 0.30) = 64.50 \times 0.70 = 45.15 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $38.70</mcq-option>
<mcq-correct>(B) $45.15</mcq-correct>
<mcq-option>(C) $47.30</mcq-option>
<mcq-option>(D) $60.20</mcq-option>
</answer>

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Answer:

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<reasoning>

Calculate the first markdown price

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Original Price} = \$86\\ &\text{First Discount} = 25\%\\ &\text{Sale Price} = 86 \times (1 - 0.25) = 86 \times 0.75 = 64.50 \end{aligned}$$

\]

Calculate the final cost after the additional discount

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Additional Discount} = 30\%\\ &\text{Final Cost} = 64.50 \times (1 - 0.30) = 64.50 \times 0.70 = 45.15 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $38.70</mcq-option>
<mcq-correct>(B) $45.15</mcq-correct>
<mcq-option>(C) $47.30</mcq-option>
<mcq-option>(D) $60.20</mcq-option>
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