Question

claire buys a jacket that originally cost \\$76. the price is marked down 25\\% for a sale, and claire has a coupon to further reduce the marked down price by 10\\%. how much does claire pay for the jacket?

\\$49.40
\\$51.30
\\$57.00
\\$68.40

Explanation:

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"concepts_used": [
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],
"new_concepts": [
"Percent Markdown"
],
"current_concepts": [
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"Percent Markdown"
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}
</pre_analysis>

<reasoning>

Calculate the sale price after the 25% markdown

\[
\text{Sale Price} = 76 \times (1 - 0.25) = 76 \times 0.75 = 57
\]

Calculate the final price after the 10% coupon discount

\[
\text{Final Price} = 57 \times (1 - 0.10) = 57 \times 0.90 = 51.30
\]
</reasoning>

<answer>
<mcq-option>(A) $49.40</mcq-option>
<mcq-correct>(B) $51.30</mcq-correct>
<mcq-option>(C) $57.00</mcq-option>
<mcq-option>(D) $68.40</mcq-option>
</answer>

<post_analysis>
{
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"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Multi-step Percent Problems"
]
}
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Answer:

<pre_analysis>
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"step_cot",
"multiple_choice_formatter",
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"concepts_used": [
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],
"new_concepts": [
"Percent Markdown"
],
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"Multi-step Percent Problems",
"Percent Markdown"
]
}
</pre_analysis>

<reasoning>

Calculate the sale price after the 25% markdown

\[
\text{Sale Price} = 76 \times (1 - 0.25) = 76 \times 0.75 = 57
\]

Calculate the final price after the 10% coupon discount

\[
\text{Final Price} = 57 \times (1 - 0.10) = 57 \times 0.90 = 51.30
\]
</reasoning>

<answer>
<mcq-option>(A) $49.40</mcq-option>
<mcq-correct>(B) $51.30</mcq-correct>
<mcq-option>(C) $57.00</mcq-option>
<mcq-option>(D) $68.40</mcq-option>
</answer>

<post_analysis>
{
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"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Multi-step Percent Problems"
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}
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