{"id":"cb_question_bank:8ece062f-1d2d-4d01-8b21-f27bdd0920d3","source_id":"cb_question_bank","source_item_id":"8ece062f-1d2d-4d01-8b21-f27bdd0920d3","external_id":null,"ibn":"028999-DC","question_id":"96a45430","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A number n is increased 6%. If the result is 318, what is the value of n ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">A number <em class=\"inline_variable \">n</em> is increased 6%. If the result is 318, what is the value of <em class=\"inline_variable \">n</em> ?</p>\n","rationale_html":"<p>Choice C is correct. The decimal equivalent of 6% is 0.06. Since increasing the number <span class=\"italic\">n</span> by 6% yields the number 318, this situation can be represented by the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/42442358288db4aeb2a65739ffb4333fb4fdfe33735895c9f1e27b304c9289c0\" alt=\"n  times, open parenthesis, 1 plus 0 point 0 6, close parenthesis, equals 318\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f688c7c279238616012a8a59bde498d02b73e455de2265ef7fe58a8c0cf10493\" alt=\"n times 1 point 0 6, equals 318\"></span>. Dividing both sides of this equation by 1.06 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/452dc5665df5e01f34229d39e40272bcbc8b0ea3267f713ae6e37bbf4c04c785\" alt=\"n equals 300\"></span>.</p><p>Choice A is incorrect. This is the result when <span class=\"italic\">n</span> is increased by 60%, not by 6%. Choice B is incorrect. This is the approximate result of decreasing 318 by 6%. Choice D is incorrect. This is the approximate result of increasing 318 by 6%.</p><p>&nbsp;</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.623000+00:00","source_updated_at":"2023-08-02T20:25:59.623000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">199</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">299</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">300</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">337</p>\n","ord":3}],"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}}