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

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

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

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

(A) $38.70

(B) $45.15

(C) $47.30

(D) $60.20

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

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QUESTION IMAGE

Question

Explanation:

Calculate the first markdown price

Calculate the final cost after the additional discount

Answer: