{"id":"cb_question_bank:d55aa43a-ebf0-42fb-a63e-55799194560d","source_id":"cb_question_bank","source_item_id":"d55aa43a-ebf0-42fb-a63e-55799194560d","external_id":"0e0b2da3-40d6-47ae-8c52-727851d9038b","ibn":null,"question_id":"3d73a58b","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"H","score_band":7,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A gift shop buys souvenirs at a wholesale price of 7.00 dollars each and resells them each at a retail price that is 290 percent sign of the wholesale price. At the end of the season, any remaining souvenirs are marked at a discounted price that is 80 percent sign off the retail price. What is the discounted price of each remaining souvenir, in dollars?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A gift shop buys souvenirs at a wholesale price of&nbsp;<math alttext=\"7.00\"><mn>7.00</mn></math> dollars each and resells them each at a retail price that is <math alttext=\"290 percent sign\"><mn>290</mn><mo>%</mo></math> of the wholesale price. At the end of the season, any remaining souvenirs are marked at a discounted price that is <math alttext=\"80 percent sign\"><mn>80</mn><mo>%</mo></math> off the retail price. What is the discounted price of each remaining souvenir, in dollars?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"4.06\"><mn>4.06</mn>\n</math>. It's given that the retail price is <math alttext=\"290 percent sign\"><mn>290</mn><mo>%</mo></math> of the wholesale price of&nbsp;<math alttext=\"dollar sign 7.00\"><mo>$</mo><mn>7.00</mn></math>. Thus, the retail price is&nbsp;<math alttext=\"dollar sign 7.00 left parenthesis StartFraction 290 Over 100 EndFraction right parenthesis\"><mo>$</mo><mn>7.00</mn><mfenced><mfrac><mn>290</mn><mn>100</mn></mfrac></mfenced></math>, which is equivalent to <math alttext=\"dollar sign 7.00 left parenthesis 2.9 right parenthesis\"><mo>$</mo><mn>7.00</mn><mfenced><mn>2.9</mn></mfenced></math>, or <math alttext=\"dollar sign 20.30\"><mo>$</mo><mn>20.30</mn></math>. It's also given that the discounted price is <math alttext=\"80 percent sign\"><mn>80</mn><mo>%</mo></math> off the retail price. Thus, the discounted price is <math alttext=\"dollar sign 20.30 left parenthesis 1 minus StartFraction 80 Over 100 EndFraction right parenthesis\"><mo>$</mo><mn>20.30</mn><mfenced><mrow><mn>1</mn><mo>-</mo><mfrac><mn>80</mn><mn>100</mn></mfrac></mrow></mfenced></math>, which is equivalent to <math alttext=\"dollar sign 20.30 left parenthesis 0.20 right parenthesis\"><mo>$</mo><mn>20.30</mn><mfenced><mn>0.20</mn></mfenced></math>, or <math alttext=\"dollar sign 4.06\"><mo>$</mo><mn>4.06</mn></math>.</p>","correct_answer":["203/50","4.06"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.831000+00:00","source_updated_at":"2023-08-02T20:25:59.831000+00:00","options":[],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}