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## In the month of August, Pentheus Corporation made $200,000 ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Magoosh In the month of August, Pentheus Corporation made$200,000 in profit. Pentheus made 6% of that profit on the second Wednesday of August. If the profits that day were approximately 14.5% of the revenue for that day, then what was Pentheusâ€™s revenue on the second Wednesday of August?

A. $65,536 B.$75,025
C. $77,922 D.$80,000
E. $82,756 OA E ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 964 messages Followed by: 27 members Upvotes: 59 AAPL wrote: Magoosh In the month of August, Pentheus Corporation made$200,000 in profit. Pentheus made 6% of that profit on the second Wednesday of August. If the profits that day were approximately 14.5% of the revenue for that day, then what was Pentheusâ€™s revenue on the second Wednesday of August?

A. $65,536 B.$75,025
C. $77,922 D.$80,000
E. $82,756 All numbers presented below are in dollars. $$? = {\rm{rev}}\,\,\left( {{\rm{certain}}\,\,{\rm{day}}} \right)$$ $${\rm{Aug}}\,{\rm{profit}}\,\,:\,\,\,2 \cdot {10^5}$$ $${\text{certain}}\,{\text{ day}}\,{\text{profit}}\,\,:\,\,\,\frac{6}{{100}}\left( {\,2 \cdot {{10}^5}} \right) = 12 \cdot {10^3}\,\,\,$$ $$12 \cdot {10^3}\,\,\, \cong \,\,\,{{29} \over 2}\% \,\,{\rm{rev}}\,\,\,\,\, \Rightarrow \,\,\,\,\,? = {\rm{rev}} \cong \,\,{{2 \cdot {{10}^2}} \over {29}}\left( {12 \cdot {{10}^3}} \right) = {{24} \over {29}}\left( {{{10}^5}} \right)$$ Now letÂ´s operate the "encadrement" a beautiful french(!) technique to do approximations! We start with 29/24, the reciprocal of 24/29, for the reasons that will become evident right-from-the-start: $$1 + \frac{5}{{25}} = \boxed{\frac{6}{5}\,}\,\, < \,\,\,\,\frac{{29}}{{24}} = 1 + \frac{5}{{24}}\,\,\,\, < \,\,\,\,1 + \frac{5}{{20}}\,\, = \,\,\,\boxed{\frac{5}{4}}\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\frac{4}{5} < \frac{{24}}{{29}} < \frac{5}{6}$$ $$\frac{4}{5}\left( {{{10}^5}} \right) < \frac{{24}}{{29}}\left( {{{10}^5}} \right) < \frac{5}{6}\left( {{{10}^5}} \right)\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,80,000 < ? < 83,333\,\,\,\,\, \Rightarrow \,\,\,\,\,\left( E \right)$$ The ONLY real calculation we did is 5/6 but, if you look carefully at the alternative choices, even this calculation was NOT needed! This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: https://GMATH.net (Math for the GMAT) or https://GMATH.com.br (Portuguese version) Course release PROMO : finish our test drive till 30/Dec with (at least) 50 correct answers out of 92 (12-questions Mock included) to gain a 50% discount! ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12412 messages Followed by: 1244 members Upvotes: 5254 GMAT Score: 770 AAPL wrote: Magoosh In the month of August, Pentheus Corporation made$200,000 in profit. Pentheus made 6% of that profit on the second Wednesday of August. If the profits that day were approximately 14.5% of the revenue for that day, then what was Pentheusâ€™s revenue on the second Wednesday of August?

A. $65,536 B.$75,025
C. $77,922 D.$80,000
E. $82,756 OA E In the month of August, Pentheus Corporation made$200,000 in profit. Pentheus made 6% of that profit on the second Wednesday of August.
1% of $200,000 =$2,000, so 6% of $200,000 = (6)($2,000) = $12,000 So, the profit on that day =$12,000

If the profits that day were approximately 14.5% of the revenue for that day, then what was Pentheusâ€™s revenue on the second Wednesday of August?
Let R = the day's revenue.
So, we can write: $12,000/R = 14.5/100 Cross multiply to get: 1,200,000 = 14.5R So, R = 1,200,000/14.5 IMPORTANT: We COULD use long division to evaluate 1,200,000/14.5, but here's a faster route. First recognize that 1,200,000/15 = 80,000 Since 14.5 is a little bit smaller than 15, we know that 1,200,000/14.5 will be a little bit greater than 80,000 Answer: E Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our 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 Apr 2015 Posted: 1776 messages Followed by: 14 members Upvotes: 43 AAPL wrote: Magoosh In the month of August, Pentheus Corporation made$200,000 in profit. Pentheus made 6% of that profit on the second Wednesday of August. If the profits that day were approximately 14.5% of the revenue for that day, then what was Pentheusâ€™s revenue on the second Wednesday of August?

A. $65,536 B.$75,025
C. $77,922 D.$80,000
E. $82,756 On the second Wednesday of August, the profit made was 0.06 x 200,000 = 12,000. Since 12,000 was approximately 14.5% of the revenue for that day, we have: 12,000 = 0.145(revenue) 12,000/0.145 = revenue Since we can estimate, we see that 12,000/0.15 = 80,000; however, since we are dividing by 0.145, which is a SMALLER NUMBER, we see that our answer must be a bit larger than 80,000, and the only answer that fits is E, 82,756. Answer: E _________________ Scott Woodbury-Stewart Founder and CEO • FREE GMAT Exam Know how you'd score today for$0

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