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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 ## In 2004, 2,400 condos sold, 15% of the total housing units tagged by: AAPL ##### This topic has 5 expert replies and 0 member replies ### Top Member ## In 2004, 2,400 condos sold, 15% of the total housing units ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Magoosh In 2004, 2,400 condos sold, 15% of the total housing units sold that year. How many units sold in 2004 were not condos? A. 16,000 B. 13,600 C. 12,400 D. 11, 200 E. 8,600 OA is B. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12925 messages Followed by: 1248 members Upvotes: 5254 GMAT Score: 770 AAPL wrote: Magoosh In 2004, 2,400 condos sold, 15% of the total housing units sold that year. How many units sold in 2004 were not condos? A. 16,000 B. 13,600 C. 12,400 D. 11, 200 E. 8,600 OA is B. We can solve the question with equivalent ratios If 15% of the units sold WERE condos, then 85% of the units sold new NOT condos. So we want to determine the number of sold units that represent 85% of all units sold We'll use the ratio: (number of units sold)/(percent of units sold) Let x = the number of NON-CONDO units sold that represent 85% of all units sold We get: (2400)/(15) = (x)/(85) Cross multiply to get: (15)(x) = (2400)(85) Divide both sides by 15 to get: x = (2400)(85)/(15) Evaluate: 13,600 Answer: B Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12925 messages Followed by: 1248 members Upvotes: 5254 GMAT Score: 770 AAPL wrote: Magoosh In 2004, 2,400 condos sold, 15% of the total housing units sold that year. How many units sold in 2004 were not condos? A. 16,000 B. 13,600 C. 12,400 D. 11, 200 E. 8,600 OA is B. We can also solve this with a little number sense If 15% of the units sold WERE condos, then 85% of the units sold new NOT condos. GIVEN: 2,400 represents 15% of the total housing units sold that year So, 4,800 must represent 30% of the total housing units sold that year And 9,600 must represent 60% of the total housing units sold that year And 14,400 must represent 90% of the total housing units sold that year Oops, we went too far. We need to subtract 5% worth of housing units to get down to the desired 85% If 2,400 represents 15% of the total housing units sold that year. . . Then 800 must represent 5% of the total housing units sold that year So, 85% of the housing units sold = 14,400 - 800 = 13,600 Answer: B Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15316 messages Followed by: 1863 members Upvotes: 13060 GMAT Score: 790 AAPL wrote: Magoosh In 2004, 2,400 condos sold, 15% of the total housing units sold that year. How many units sold in 2004 were not condos? A. 16,000 B. 13,600 C. 12,400 D. 11, 200 E. 8,600 Of the units sold, non-condos constitute 85% = 85/100 = 17/20. Implication: Of every 20 units sold, 17 are non-condos, with the result that the number of non-condos must be a multiple of 17. A. 16000 B. 13600 C. 12400 D. 11200 E. 8600 Only the portion in green is a multiple of 17: 136/17 = 8. The correct answer is B. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 AAPL wrote: Magoosh In 2004, 2,400 condos sold, 15% of the total housing units sold that year. How many units sold in 2004 were not condos? A. 16,000 B. 13,600 C. 12,400 D. 11, 200 E. 8,600 LetÂ´s use the "backbone" of our method: connect DATA to FOCUS as soon and as clearly as possible: ${\text{DATA}}:\,\,\,\,\,2,400\,\,{\text{condos}}\,\,\,\mathop = \limits^{\left( * \right)} \,\,\,\frac{{15}}{{100}}\,\,\left( {{\text{total}}} \right)$ ${\text{FOCUS}}:\,\,\,? = \frac{{85}}{{100}}\left( {{\text{total}}} \right)$ $? = \boxed{\frac{{85}}{{15}}} \cdot \underbrace {\frac{{15}}{{100}}\,\,\left( {{\text{total}}} \right)}_{\left( * \right)\,\,\,2400}\,\, = \,\,\,\frac{{17}}{3}\left( {2400} \right) = \underleftrightarrow {100 \cdot \left( {\frac{{17 \cdot 24}}{3}} \right)}\,\, = \,\,13600$ 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 ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2653 messages Followed by: 18 members Upvotes: 43 AAPL wrote: Magoosh In 2004, 2,400 condos sold, 15% of the total housing units sold that year. How many units sold in 2004 were not condos? A. 16,000 B. 13,600 C. 12,400 D. 11, 200 E. 8,600 We can create the following equation in which n = the total number of housing units sold in 2004: 2,400 = 0.15n 2,400/0.15 = n 16,000 = n Thus, the number of housing units sold that were not condos was 16,000 - 2,400 = 13,600. Alternate Solution: We can set up a ratio: if 15% is 2,400, then 85% is x, as follows: 0.15/2400 = 0.85/x 0.15x = 2400 * 0.85 x = (2400 * 0.85)/0.15 x = 13,600 Answer: B _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. 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