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For a convention, a hotel charges a daily room rate of $120 [#permalink] ### Show Tags 17 Oct 2008, 09:31 9 This post was BOOKMARKED 00:00 Difficulty: 35% (medium) Question Stats: 68% (02:25) correct 32% (01:16) wrong based on 420 sessions ### HideShow timer Statistics 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.
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17 Oct 2008, 11:41
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D.

Stmt1: obviously sufficient.
Stmt2:
(120+x)/2 = (120 + 3x)/4 + 25 and we can solve for x. Hence, sufficient.
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12 Dec 2008, 20:30
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Jcpenny 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. Slightly longer explanation: Statement 1: If the average is$45, then the total cost per day is 4(45) = 180
With 4 people the cost is $120 + x + x + x So, we get the equation 120 + 3x = 180 (clearly, we COULD solve this equation for x) --> sufficient Statement 2: The average cost for 2 people is (120+x)/2 The average cost for 4 people is (120+3x)/4 We know that the first average cost is$25 more than the second average, so we can create the equation (120+x)/2 = (120+3x)/4 + 25
(clearly, we COULD solve this equation for x) --> sufficient

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Re: hotel charges a daily room rate [#permalink]

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18 Jan 2011, 09:45
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. SVP Joined: 16 Nov 2010 Posts: 1672 Location: United States (IN) Concentration: Strategy, Technology Followers: 33 Kudos [?]: 522 [0], given: 36 Re: hotel charges a daily room rate [#permalink] ### Show Tags 18 Jan 2011, 21:23 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 _________________ Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant) GMAT Club Premium Membership - big benefits and savings Intern Joined: 12 Dec 2010 Posts: 6 Followers: 0 Kudos [?]: 1 [0], given: 5 Re: hotel charges a daily room rate [#permalink] ### Show Tags 18 Jan 2011, 23:39 Not clear with the second statement. Can anybody clear this please. Manager Joined: 15 Aug 2010 Posts: 73 Location: Moscow, Russia Schools: top schools WE 1: Foreign Ministry - 6 years WE 2: Law Firm - 3 years Followers: 1 Kudos [?]: 5 [0], given: 2 Re: hotel charges a daily room rate [#permalink] ### Show Tags 08 Feb 2011, 09:23 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
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Re: hotel charges a daily room rate [#permalink]

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08 Feb 2011, 09:52
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"
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Re: hotel charges a daily room rate [#permalink]

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08 Feb 2011, 22:26
Thanks Matt1177!. I got it now
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25 Jun 2015, 04:02
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18 Sep 2016, 07:33
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
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