{"id":"cb_question_bank:6f47b1ad-ee55-49ea-aa5c-540a3af57856","source_id":"cb_question_bank","source_item_id":"6f47b1ad-ee55-49ea-aa5c-540a3af57856","external_id":"989b4b44-3e81-4a7a-a64c-9ab381c1b983","ibn":null,"question_id":"40e7a1a9","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":"210 is p percent sign greater than 30 . What is the value of p ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\"><math alttext=\"210\"><mn>210</mn>\n</math> is <math alttext=\"p percent sign\"><mi>p</mi><mo>%</mo></math> greater than <math alttext=\"30\"><mn>30</mn>\n</math>. What is the value of <math alttext=\"p\"><mi>p</mi>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"600\"><mn>600</mn>\n</math>. It’s given that <math alttext=\"210\"><mn>210</mn>\n</math> is <math alttext=\"p percent sign\"><mi>p</mi><mo>%</mo></math> greater than <math alttext=\"30\"><mn>30</mn>\n</math>. It follows that <math alttext=\"210 equals left parenthesis 1 plus StartFraction p Over 100 EndFraction right parenthesis left parenthesis 30 right parenthesis\"><mn>210</mn><mo>=</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mi>p</mi><mn>100</mn></mfrac></mrow></mfenced><mfenced><mn>30</mn></mfenced></math>. Dividing both sides of this equation by <math alttext=\"30\"><mn>30</mn>\n</math> yields <math alttext=\"7 equals 1 plus StartFraction p Over 100 EndFraction\"><mn>7</mn><mo>=</mo><mn>1</mn><mo>+</mo><mfrac><mi>p</mi><mn>100</mn></mfrac></math>. Subtracting <math alttext=\"1\"><mn>1</mn>\n</math> from both sides of this equation yields <math alttext=\"6 equals StartFraction p Over 100 EndFraction\"><mn>6</mn><mo>=</mo><mfrac><mi>p</mi><mn>100</mn></mfrac></math>. Multiplying both sides of this equation by <math alttext=\"100\"><mn>100</mn>\n</math> yields <math alttext=\"p equals 600\"><mrow>\n\t<mi>p</mi>\n\t<mo>=</mo>\n\t<mn>600</mn>\n</mrow>\n</math>. Therefore, the value of <math alttext=\"p\"><mi>p</mi>\n</math> is <math alttext=\"600\"><mn>600</mn>\n</math>.</p>","correct_answer":["600"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.832000+00:00","source_updated_at":"2023-08-02T20:25:59.832000+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}}