Last visit was: 14 Jul 2024, 22:21 It is currently 14 Jul 2024, 22:21
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Show Tags
Hide Tags
User avatar
Intern
Intern
Joined: 17 Oct 2008
Posts: 7
Own Kudos [?]: 76 [76]
Given Kudos: 0
Send PM
Most Helpful Reply
avatar
Intern
Intern
Joined: 05 Dec 2008
Posts: 11
Own Kudos [?]: 22 [17]
Given Kudos: 0
 Q49  V46
Send PM
General Discussion
User avatar
Director
Director
Joined: 17 Jun 2008
Posts: 614
Own Kudos [?]: 444 [1]
Given Kudos: 0
Send PM
User avatar
Manager
Manager
Joined: 03 Sep 2010
Posts: 53
Own Kudos [?]: 78 [0]
Given Kudos: 2
Location: Israel
GMAT 1: 660 Q47 V34
GMAT 2: 670 Q48 V34
GPA: 3.2
WE:Operations (Non-Profit and Government)
Send PM
Re: hotel charges a daily room rate [#permalink]
IMO D.
A. If for each person the daly rate is 45$ than 45*4=280. 280-120=160 This is the additional payment that the 3 additional people in the room would have to pay. 160/3 is the rate that each of this 3 people would have to pay. Sufficient.
B. The room rate for 2 people = (120+X). The room rate for 4 people= (120+3*Y). In addition we know that X = 25+Y. So we have 2 integers and two equations. Sufficient.
Retired Moderator
Joined: 16 Nov 2010
Posts: 903
Own Kudos [?]: 1194 [0]
Given Kudos: 43
Location: United States (IN)
Concentration: Strategy, Technology
Send PM
Re: hotel charges a daily room rate [#permalink]
It is D.

From (1) :


45 * 4 = 3x + 120 => x = (180 - 120)/3 = 20

From (2) :

120 + x = 120 + 3x
-------- --------- + 25
2 4

240 + 2x = 120 + 3x + 100

=> x = 240 - 220 = 20
Manager
Manager
Joined: 12 Dec 2010
Posts: 79
Own Kudos [?]: 82 [0]
Given Kudos: 640
Send PM
Re: hotel charges a daily room rate [#permalink]
Not clear with the second statement. Can anybody clear this please.
User avatar
Manager
Manager
Joined: 15 Aug 2010
Posts: 67
Own Kudos [?]: 9 [0]
Given Kudos: 2
Location: Moscow, Russia
Concentration: General
Schools:top schools
 Q43  V31 GMAT 2: 670  Q43  V38 GMAT 3: 680  Q48  V35
WE 1: Foreign Ministry - 6 years
WE 2: Law Firm - 3 years
Send PM
Re: hotel charges a daily room rate [#permalink]
mcmoorthy wrote:
Not clear with the second statement. Can anybody clear this please.


(i) daily cost per person in the case of two persons: (120+x)/2;
(ii) daily cost per person in the case of four persons: (120+3x)/4.
Keeping in view the difference of $25, we make an equation:
(120+x)/2 - 25 = (120+3x)/4
240+2x-100 = 120+3x
240-100-120=3x-2x
X=20
User avatar
Retired Moderator
Joined: 20 Dec 2010
Posts: 1108
Own Kudos [?]: 4752 [2]
Given Kudos: 376
Send PM
Re: hotel charges a daily room rate [#permalink]
2
Bookmarks
Total cost for the room renting; 120 + x*n

x - charge per additional person
n - number of additional people

Q: What is x?

1. (120 + x * 4)/4 = 45.
x can be found. Sufficient.

2. (120 + 2*x)/2 = (120+4x)/4 + 25
x can be found. Sufficient.

Ans; "D"
Manager
Manager
Joined: 12 Dec 2010
Posts: 79
Own Kudos [?]: 82 [0]
Given Kudos: 640
Send PM
Re: hotel charges a daily room rate [#permalink]
Thanks Matt1177!. I got it now :)
avatar
Director
Director
Joined: 29 Nov 2012
Posts: 576
Own Kudos [?]: 6157 [0]
Given Kudos: 543
Send PM
Re: For a convention, a hotel charges a daily room rate of $120 [#permalink]
What's the equation for the second statement?
Senior Manager
Senior Manager
Joined: 05 Sep 2016
Status:DONE!
Posts: 271
Own Kudos [?]: 103 [0]
Given Kudos: 283
Send PM
Re: For a convention, a hotel charges a daily room rate of $120 [#permalink]
D is correct! Here's why:

(1) (120+3x)/4 = 45 --> x = 20

SUFFICIENT

(2) (120+x)/2 = 25 + [(120+3x)/4x] --> x = 20

SUFFICIENT
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5274
Own Kudos [?]: 4181 [0]
Given Kudos: 160
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Re: For a convention, a hotel charges a daily room rate of $120 [#permalink]
mikegao wrote:
For a convention, a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person. What is the charge for each additional person?

(1) The daily cost per person for 4 people sharing the cost of a room equally is $45.
(2) The daily cost per person for 2 people sharing the cost of a room equally is $25 more than the corresponding cost for 4 people.


For a convention, a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person.

What is the charge for each additional person?

(1) The daily cost per person for 4 people sharing the cost of a room equally is $45.
Total cost for 4 person = 120 + 3x = 45*4 = 180
x = 60/3 = $20
SUFFICIENT

(2) The daily cost per person for 2 people sharing the cost of a room equally is $25 more than the corresponding cost for 4 people.
\(\frac{120 + x}{2} - \frac{120 + 3x}{4} = 25\)
\(60 + \frac{x}{2} - 30 - \frac{3x}{4} = 25\)
\(5 = \frac{x}{4}\)
x = $20
SUFFICIENT

IMO C
Intern
Intern
Joined: 19 Jul 2017
Posts: 32
Own Kudos [?]: 6 [0]
Given Kudos: 1158
Send PM
Re: For a convention, a hotel charges a daily room rate of $120 [#permalink]
fluke wrote:
Total cost for the room renting; 120 + x*n

x - charge per additional person
n - number of additional people

Q: What is x?

1. (120 + x * 4)/4 = 45.
x can be found. Sufficient.

2. (120 + 2*x)/2 = (120+4x)/4 + 25
x can be found. Sufficient.

Ans; "D"



plz notice the highlighted part
(1) (120+3x)/4 = 45 --> x = 20
Manager
Manager
Joined: 14 May 2023
Posts: 55
Own Kudos [?]: 41 [0]
Given Kudos: 9
Location: India
Send PM
Re: For a convention, a hotel charges a daily room rate of $120 [#permalink]
mikegao wrote:
For a convention, a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person. What is the charge for each additional person?

(1) The daily cost per person for 4 people sharing the cost of a room equally is $45.

\(\frac{(120+3*x)}{4}=45\)

\(x=20\)

(2) The daily cost per person for 2 people sharing the cost of a room equally is $25 more than the corresponding cost for 4 people.

\(\frac{(120+x)}{2}=25+\frac{(120+3x)}{4}\)

\(x=20\)

Both lead to same answers, and individually are sufficient to find charge for each additional person.
Hence, Opt (D)
GMAT Club Bot
Re: For a convention, a hotel charges a daily room rate of $120 [#permalink]
Moderator:
Math Expert
94342 posts