word problem

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word problem

by smallsorrow » Tue Sep 30, 2008 9:23 am
On a staurday 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 be rented for 40$, then the total rent the motel charged for that night would have been reduced by 25%. what was the total rent the motel actually chraged for that night?

A) 600
B) 800
C) 1000
D) 1600
E) 2400


Does anyone have a fast way to solve this??

Thank you!
Source: — Problem Solving |

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by schumi_gmat » Tue Sep 30, 2008 9:30 am
LEt the total rent br T and rooms for $40 be x and $60 by y.

T = 40x + 60 y
0.75 T = 40 (x+10) + 60 (y-10)

Solving, we get T = 800

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by vishubn » Tue Sep 30, 2008 9:36 am
one more approach

question says ! if 10 rooms was charged 40$ instead of 60 ....
so this is a reduction of 20$/room so a loss of 200$
now 200$ represents 25% of the toal income loss ! then total income is 800$

Vishu

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by stop@800 » Tue Sep 30, 2008 9:42 am
simple soln

25% is 200$
so total 800