GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 05 Jul 2020, 22:32

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# On a Saturday night, each of the rooms at a certain motel was rented

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64951
On a Saturday night, each of the rooms at a certain motel was rented  [#permalink]

### Show Tags

11 Nov 2015, 00:01
00:00

Difficulty:

25% (medium)

Question Stats:

80% (02:10) correct 20% (02:06) wrong based on 127 sessions

### HideShow timer Statistics

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) $2,400 _________________ ##### Most Helpful Community Reply Verbal Forum Moderator Status: Greatness begins beyond your comfort zone Joined: 08 Dec 2013 Posts: 2445 Location: India Concentration: General Management, Strategy Schools: Kelley '20, ISB '19 GPA: 3.2 WE: Information Technology (Consulting) Re: On a Saturday night, each of the rooms at a certain motel was rented [#permalink] ### Show Tags 11 Nov 2015, 00:34 4 3 Let total rent the motel charge for all rooms =x If 10 rooms that were rented for 60$ had instead been rented for 40 $, then total difference in prices = 20$ * 10 = 200 $Total rent the motel charged would have been reduced by 25 % .25x = 200 => x= 800 Answer B _________________ When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long ##### General Discussion VP Joined: 18 Dec 2017 Posts: 1404 Location: United States (KS) GMAT 1: 600 Q46 V27 Re: On a Saturday night, each of the rooms at a certain motel was rented [#permalink] ### Show Tags 26 Mar 2020, 15:13 Bunuel 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

Since the reduction in the original price will be (10*20$)= 200$

200$is 25% of what amount? 800$

Hence Option B
_________________
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

Why You Don’t Deserve A 700 On Your GMAT

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
Senior Manager
Joined: 11 Mar 2018
Posts: 250
Re: On a Saturday night, each of the rooms at a certain motel was rented  [#permalink]

### Show Tags

26 Mar 2020, 22:32
Bunuel 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 Although this is a longer way but this is what had hit me when doing the question. Hope this helps some of you So here it goes, Let$40 rooms be 'a' in count
Let $60 rooms be 'b' in count Let total rent be 'c' Hence from first line of the prompt we can create this equation - 40a + 60 b = c - (1) Now the second says, we removed 10 rooms from$60 lot and had put it out for $40 slots and rent was reduced by 25%, hence our (1) becomes as follows - $$40 (a + 10) + 60 (b - 10) = \frac{3}{4}c$$ $$40a + 400 + 60b - 600 = \frac{3}{4}c$$ $$40a + 60b - 200 = \frac{3}{4}c$$ - (2) Using (1) and (2), $$c - 200 = \frac{3}{4}c$$ $$\frac{1}{4}c = 200$$ c = 800 Hence B. Even though it is a little time consuming but can be used when nothing strikes. _________________ Regards, AD ---------------- An admiration by anybody is an explanation understood by somebody !!! Happy GMATing... Go Nuts Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 11036 Location: United States (CA) Re: On a Saturday night, each of the rooms at a certain motel was rented [#permalink] ### Show Tags 29 Mar 2020, 03:57 Bunuel 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

Solution:

If we let x = the number of $40 rooms and y = the number of$60 rooms, then the total rent for the motel is 40x + 60y. 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:

40(x + 10) + 60(y - 10) = (40x + 60y) * 3/4

160(x + 10) + 240(y - 10) = 120x + 180y

160x + 1600 + 240y - 2400 = 120x + 180y

40x + 60y = 800

Alternate Solution:

If 10 rooms were rented for $40 instead of$60, then the total rent would have been 10 * (60 - 40) = 10 * 20 = $200 less. We are given that this reduction corresponds to 25% of the total rent; thus, the total rent is 200/0.25 =$800.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
225 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Re: On a Saturday night, each of the rooms at a certain motel was rented   [#permalink] 29 Mar 2020, 03:57