ladyp Posted April 29, 2005 Share Posted April 29, 2005 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 © $1,000 (D) $1,600 (E) $2,400 TIA OA is B Quote Link to comment Share on other sites More sharing options...
securitygeek Posted April 29, 2005 Share Posted April 29, 2005 Suppose they are x $40 rooms and y $60 rooms. So 40x + 60 y = T ( total) As the the given condition 40 ( x+10) + 60 ( y-10) = 0.75T Solving these two equations...you get T= 800 HTH Quote Link to comment Share on other sites More sharing options...
upchucks Posted April 30, 2005 Share Posted April 30, 2005 hey security geek can you please explain further. i get to the equation and some how i can not get 800 for the answer. :crazy: Quote Link to comment Share on other sites More sharing options...
TwinnSplitter Posted April 30, 2005 Share Posted April 30, 2005 Another way to think of it is this: For each room that they change from 60 to 40, they lose $20. In this case, they changed it for 10 rooms, and thus lost 10 x 20 = 200 dollars. It tells us that they lost 25 percent by doing this, so we know that 200 dollars is 25% of the total. Thus, the total is 4 x 200 = 800 Quote Link to comment Share on other sites More sharing options...
Obelixous Posted April 30, 2005 Share Posted April 30, 2005 great explanation twinnsplitter Quote Link to comment Share on other sites More sharing options...
ish Posted April 30, 2005 Share Posted April 30, 2005 hey security geek can you please explain further. i get to the equation and some how i can not get 800 for the answer. :crazy: So 40x + 60 y = T ( total) As the the given condition 40 ( x+10) + 60 ( y-10) = 0.75T Solving these two equations...you get T= 800 well on expanding the second one you get 40x+60y=.75T+200 so T=.75T+200 (as the left hand sides of both equations are equal, we equate the right hand sides to get this) so .25t=200 and t=800 HTH Quote Link to comment Share on other sites More sharing options...
ladyp Posted April 30, 2005 Author Share Posted April 30, 2005 cool... that explains a lot. Thx Quote Link to comment Share on other sites More sharing options...
nario Posted April 30, 2005 Share Posted April 30, 2005 10 rooms charging $20 less gives $200 which is 1/4 th (25%) reduction so total is $800 Quote Link to comment Share on other sites More sharing options...
Trouble Posted April 30, 2005 Share Posted April 30, 2005 Another way to think of it is this: For each room that they change from 60 to 40, they lose $20. In this case, they changed it for 10 rooms, and thus lost 10 x 20 = 200 dollars. It tells us that they lost 25 percent by doing this, so we know that 200 dollars is 25% of the total. Thus, the total is 4 x 200 = 800 ur good! lol I never thought of it this way...does that mean i won't pass my GMAT exam,i am already freaking out,this is meant to be a very simple question...OH GOD! :crazy: Quote Link to comment Share on other sites More sharing options...
TwinnSplitter Posted April 30, 2005 Share Posted April 30, 2005 don't worry about it, you're fine, when I first started I was also rusty and noticing tricks such as that. Just do as many math problems as you can and you'll get better and more used to noticing such things:tup: Quote Link to comment Share on other sites More sharing options...
Trouble Posted May 1, 2005 Share Posted May 1, 2005 don't worry about it, you're fine, when I first started I was also rusty and noticing tricks such as that. Just do as many math problems as you can and you'll get better and more used to noticing such things:tup: I Hope So,I wasn;t planning on studying,I didn't know u study for GMAT,I thought if u take the Powerprep GMAT that would be enough,if it wasn't for this forum,I prbably wud go without even knowing how the exam is taken... Thanks guys :) Quote Link to comment Share on other sites More sharing options...
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