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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## An appliance store purchases a radio for m dollars. The ##### This topic has 1 expert reply and 0 member replies ### Top Member ## An appliance store purchases a radio for m dollars. The ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult An appliance store purchases a radio for m dollars. The store then sells the same radio for n dollars. Was the appliance store's gross profit from the radio greater than twenty percent of its cost for the radio? (1) m/n = 10/11 (2) n - m = 25 OA A Source: Princeton Review ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 Top Reply BTGmoderatorDC wrote: An appliance store purchases a radio for m dollars. The store then sells the same radio for n dollars. Was the appliance store's gross profit from the radio greater than twenty percent of its cost for the radio? (1) m/n = 10/11 (2) n - m = 25 Source: Princeton Review $n - m\,\,\,\mathop > \limits^? \,\,\,\frac{1}{5}\left( m \right)\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,n\,\,\,\mathop > \limits^? \,\,\,\frac{6}{5}\left( m \right)\,$ $\left( 1 \right)\,\,\,\frac{m}{n} = \frac{{10}}{{11}}\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,n = \frac{{11}}{{10}}\left( m \right) = \frac{{5.5}}{5}\left( m \right)\,\,\,\mathop < \limits^{m\,\, > \,\,0} \,\,\,\frac{6}{5}\left( m \right)\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\left\langle {{\text{NO}}} \right\rangle$ $\left( 2 \right)\,\,\,n = 25 + m\,\,\,\,\left\{ \begin{gathered} \,{\text{Take}}\,\,\left( {n,m} \right) = \left( {26,1} \right)\,\,\,\, \Rightarrow \,\,\,\left\langle {{\text{YES}}} \right\rangle \,\, \hfill \\ \,{\text{Take}}\,\,\left( {n,m} \right) = \left( {525,500} \right)\,\,\,\, \Rightarrow \,\,\,\left\langle {{\text{NO}}} \right\rangle \,\, \hfill \\ \end{gathered} \right.$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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