Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

ella was paid an 11 percent commission on the pair of shoes that she so…

Question

ella was paid an 11 percent commission on the pair of shoes that she sold. the department store had paid $25 wholesale for the shoes and had marked up the price by 40 percent to the selling price. how much did ella earn for the sale?

$2.75
$3.85
$10.00
$12.75

Explanation:

Response

<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": [
"Retail Markup",
"Commission Calculation"
],
"new_concepts": [],
"current_concepts": [
"Retail Markup",
"Commission Calculation",
"Multi-step Percent Problems"
]
}
</pre_analysis>

<reasoning>

Calculate the retail markup price

Using the Retail Markup knowledge point
\[

$$\begin{aligned} &\text{Wholesale Price} = \$25\\ &\text{Markup Rate} = 40\% = 0.40\\ &\text{Markup Amount} = 25 \times 0.40 = 10\\ &\text{Selling Price} = 25 + 10 = 35 \end{aligned}$$

\]

Calculate the commission earned

Using the Commission Calculation knowledge point
\[

$$\begin{aligned} &\text{Selling Price} = \$35\\ &\text{Commission Rate} = 11\% = 0.11\\ &\text{Commission Earned} = 35 \times 0.11 = 3.85 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $2.75</mcq-option>
<mcq-correct>(B) $3.85</mcq-correct>
<mcq-option>(C) $10.00</mcq-option>
<mcq-option>(D) $12.75</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": [
"Retail Markup",
"Commission Calculation"
],
"new_concepts": [],
"current_concepts": [
"Retail Markup",
"Commission Calculation",
"Multi-step Percent Problems"
]
}
</pre_analysis>

<reasoning>

Calculate the retail markup price

Using the Retail Markup knowledge point
\[

$$\begin{aligned} &\text{Wholesale Price} = \$25\\ &\text{Markup Rate} = 40\% = 0.40\\ &\text{Markup Amount} = 25 \times 0.40 = 10\\ &\text{Selling Price} = 25 + 10 = 35 \end{aligned}$$

\]

Calculate the commission earned

Using the Commission Calculation knowledge point
\[

$$\begin{aligned} &\text{Selling Price} = \$35\\ &\text{Commission Rate} = 11\% = 0.11\\ &\text{Commission Earned} = 35 \times 0.11 = 3.85 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $2.75</mcq-option>
<mcq-correct>(B) $3.85</mcq-correct>
<mcq-option>(C) $10.00</mcq-option>
<mcq-option>(D) $12.75</mcq-option>
</answer>

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