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

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

Accepted Answer

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

(A) $39.60

(B) $42.77

(C) $59.40

(D) $64.15

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

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QUESTION IMAGE

Question

Explanation:

Identify the given values and target

Calculate the sale price after markdown

Calculate the final cost including sales tax

Answer: