{"id":"aqua_rat:565933f521c96e53e351472f41540d27","source_id":"aqua_rat","source_item_id":"565933f521c96e53e351472f41540d27","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"Jay is selling his shoes and making a 15% gain from it. His friend wants to buy them so he offers him a 5% discount. At what price did Jay originally buy his shoes, if he sold it to his friend for $218.50?","stimulus":"","stimulus_html":null,"stem_html":"<p>Jay is selling his shoes and making a 15% gain from it. His friend wants to buy them so he offers him a 5% discount. At what price did Jay originally buy his shoes, if he sold it to his friend for $218.50?</p>","rationale_html":"<p>If the shoes were sold at $218.50 after a 5% discount, they were originally 218.50/0.95 = 230</p><p>If at that price, Jay was making 15% gains, the original price of the shoes was 230/1.15 = 200</p>","correct_answer":["D"],"equiv_key":"77084bbb7ce8d7eedddfcf67","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>$208.10</p>","ord":0},{"label":"B","content_html":"<p>$198.50</p>","ord":1},{"label":"C","content_html":"<p>$210.00</p>","ord":2},{"label":"D","content_html":"<p>$200.00</p>","ord":3},{"label":"E","content_html":"<p>$196.65</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}