{"status": "success", "data": {"description_md": "For the consumer, a single discount of $n\\%$ is more advantageous than any of the following discounts:\n(1) two successive $15\\%$  discounts\n(2) three successive $10\\%$ discounts\n(3) a $25\\%$ discount followed by a $5\\%$ discount\nWhat is the smallest possible positive integer value of $n$?\n\n$\\textbf{(A)}\\ \\ 27\\qquad\\textbf{(B)}\\ 28\\qquad\\textbf{(C)}\\ 29\\qquad\\textbf{(D)}\\ 31\\qquad\\textbf{(E)}\\ 33$", "description_html": "<p>For the consumer, a single discount of  <span class=\"katex--inline\">n\\%</span>  is more advantageous than any of the following discounts:<br/>\n(1) two successive  <span class=\"katex--inline\">15\\%</span>   discounts<br/>\n(2) three successive  <span class=\"katex--inline\">10\\%</span>  discounts<br/>\n(3) a  <span class=\"katex--inline\">25\\%</span>  discount followed by a  <span class=\"katex--inline\">5\\%</span>  discount<br/>\nWhat is the smallest possible positive integer value of  <span class=\"katex--inline\">n</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\ 27\\qquad\\textbf{(B)}\\ 28\\qquad\\textbf{(C)}\\ 29\\qquad\\textbf{(D)}\\ 31\\qquad\\textbf{(E)}\\ 33</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2014 AMC 10B Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10B_p12", "prev": "/problem/14_amc10B_p10"}}