Question

a coat was marked down by 60 percent from its original price of $99. including an 8 percent sales tax, what is the cost of the coat?

$39.60
$42.77
$59.40
$64.15

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Multi-step Percent Problems"
],
"new_concepts": [],
"current_concepts": [
"Multi-step Percent Problems",
"Percent Decrease Estimation",
"Tax Deduction Calculation"
]
}
</pre_analysis>

<reasoning>

Identify the given values and target

We need to find the final cost of a coat after a markdown and sales tax.

• Original price: \(P = \$99\)
• Markdown percentage: \(60\%\)
• Sales tax percentage: \(8\%\)

Calculate the sale price after markdown

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} \text{Sale Price} &= 99 \times (1 - 0.60) \\ &= 99 \times 0.40 \\ &= 39.60 \end{aligned}$$

\]

Calculate the final cost including sales tax

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} \text{Final Cost} &= 39.60 \times (1 + 0.08) \\ &= 39.60 \times 1.08 \\ &= 42.768 \\ &\approx 42.77 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $39.60</mcq-option>
<mcq-correct>(B) $42.77</mcq-correct>
<mcq-option>(C) $59.40</mcq-option>
<mcq-option>(D) $64.15</mcq-option>
</answer>

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

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Multi-step Percent Problems"
],
"new_concepts": [],
"current_concepts": [
"Multi-step Percent Problems",
"Percent Decrease Estimation",
"Tax Deduction Calculation"
]
}
</pre_analysis>

<reasoning>

Identify the given values and target

We need to find the final cost of a coat after a markdown and sales tax.

• Original price: \(P = \$99\)
• Markdown percentage: \(60\%\)
• Sales tax percentage: \(8\%\)

Calculate the sale price after markdown

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} \text{Sale Price} &= 99 \times (1 - 0.60) \\ &= 99 \times 0.40 \\ &= 39.60 \end{aligned}$$

\]

Calculate the final cost including sales tax

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} \text{Final Cost} &= 39.60 \times (1 + 0.08) \\ &= 39.60 \times 1.08 \\ &= 42.768 \\ &\approx 42.77 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $39.60</mcq-option>
<mcq-correct>(B) $42.77</mcq-correct>
<mcq-option>(C) $59.40</mcq-option>
<mcq-option>(D) $64.15</mcq-option>
</answer>

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