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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 ## On a Saturday night, each of the rooms at a certain motel tagged by: swerve ##### This topic has 2 expert replies and 0 member replies ### Top Member ## On a Saturday night, each of the rooms at a certain motel ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult On a Saturday night, each of the rooms at a certain motel was rented for either$40 or $60. If 10 of the rooms that were rented for$60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 25 percent. What was the total rent the motel actually charged for that night? A.$600
B. $800 C.$1,000
D. $1,600 E.$2,400

The OA is B

Source: GMAT Paper Tests

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swerve wrote:
On a Saturday night, each of the rooms at a certain motel was rented for either $40 or$60. If 10 of the rooms that were rented for $60 had instead been rented for$40, then the total rent the motel charged for that night would have been reduced by 25 percent. What was the total rent the motel actually charged for that night?

A. $600 B.$800
C. $1,000 D.$1,600
E. $2,400 If 10 rooms are rented for$40 instead of $60 -- a decrease of$20 per room -- the total decrease = 10*20 = $200. Since the value in blue constitutes a 25% reduction in the total rent, it must be equal to 1/4 of the total rent: 200 = (1/4)R 800 = R. 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 25 Apr 2015 Posted: 2852 messages Followed by: 18 members Upvotes: 43 swerve wrote: On a Saturday night, each of the rooms at a certain motel was rented for either$40 or $60. If 10 of the rooms that were rented for$60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 25 percent. What was the total rent the motel actually charged for that night? A.$600
B. $800 C.$1,000
D. $1,600 E.$2,400

The OA is B

Source: GMAT Paper Tests
We can let a = the number of 40-dollar rooms rented and b = the number of 60-dollar rooms rented. Thus, the original rental income for the night was (40a + 60b). If this amount were reduced by 25%, the motelâ€™s rental income would be 0.75(40a + 60b). This would result from renting 10 more 40-dollar rooms (a + 10), resulting in a decrease in the number of 60-dollar rooms to (b - 10). Thus, we have:

0.75(40a + 60b) = 40(a + 10) + 60(b - 10)

30a + 45b = 40a + 400 + 60b - 600

200 = 10a + 15b

40 = 2a + 3b

Since the total rental income of the motel, in terms of a and b, is (40a + 60b), which is 20 times (2a + 3b), the total rent is 20(2a + 3b) = 20(40) = $800. Alternate Solution: We can let a = the number of 40-dollar rooms rented and b = the number of 60-dollar rooms rented. Thus, the motel charges (40a + 60b) in total for the night. If 10 of the rooms that were rented for$60 had instead been rented for $40; then the motel would have charged 40(a + 10) + 60(b - 10) = 40a + 400 + 60b - 600 = 40a + 60b - 200 instead. We notice that this is a$200 reduction compared to the actual price. Since we are given that the reduction in price would be 25% of the actual figure, the motel charged 200/(0.25) = $800 for the night. 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. Read our reviews • FREE GMAT Exam Know how you'd score today for$0

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