Hi All,
Though this a simple problem I am a bit confused, Please help.
The price of lunch for 15 people was $207.00 including a 15 percent gratuity for service.What was the average price per person excluding the gratuity..??
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Algebra
This topic has expert replies
-
beat_gmat_09
- Master | Next Rank: 500 Posts
- Posts: 437
- Joined: Sat Nov 22, 2008 5:06 am
- Location: India
- Thanked: 50 times
- Followed by:1 members
- GMAT Score:580
Isn't it 207/15 ?AndyB wrote:Hi All,
Though this a simple problem I am a bit confused, Please help.
The price of lunch for 15 people was $207.00 including a 15 percent gratuity for service.What was the average price per person excluding the gratuity..??
Hope is the dream of a man awake
-
diebeatsthegmat
- Legendary Member
- Posts: 1119
- Joined: Fri May 07, 2010 8:50 am
- Thanked: 29 times
- Followed by:3 members
suppose thr price for all 15 people together is xAndyB wrote:Hi All,
Though this a simple problem I am a bit confused, Please help.
The price of lunch for 15 people was $207.00 including a 15 percent gratuity for service.What was the average price per person excluding the gratuity..??
x+0,15x ( tax)=207
1,15x=207 so x=1800
1800=15a ( a is price for each person)
a=120
GMAT/MBA Expert
-
Rahul@gurome
- GMAT Instructor
- Posts: 1179
- Joined: Sun Apr 11, 2010 9:07 pm
- Location: Milpitas, CA
- Thanked: 447 times
- Followed by:88 members
Let the total price excluding gratuity = x
x + 15% of x = 207
1.15x = 207
x = 180
Therefore, average price per person excluding gratuity = $180/15 = $12
x + 15% of x = 207
1.15x = 207
x = 180
Therefore, average price per person excluding gratuity = $180/15 = $12
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Hi Rahul.
Thanks for the answer, You are rite but I am confused because the question says
"The price of lunch for 15 people was $207.00 including a 15 percent gratuity for service"
So why is it wrong to consider the price for lunch excluding gratuity is 85% of $207.
Please could you clarify at this point.
Thanks for the answer, You are rite but I am confused because the question says
"The price of lunch for 15 people was $207.00 including a 15 percent gratuity for service"
So why is it wrong to consider the price for lunch excluding gratuity is 85% of $207.
Please could you clarify at this point.
GMAT/MBA Expert
-
Rahul@gurome
- GMAT Instructor
- Posts: 1179
- Joined: Sun Apr 11, 2010 9:07 pm
- Location: Milpitas, CA
- Thanked: 447 times
- Followed by:88 members
It cannot be 85% of 207, it is nowhere mentioned in the questions that price for lunch excluding gratuity is this. We'll have to consider the average price per person excluding the gratuity to be any variable and then solve.AndyB wrote:Hi Rahul.
Thanks for the answer, You are rite but I am confused because the question says
"The price of lunch for 15 people was $207.00 including a 15 percent gratuity for service"
So why is it wrong to consider the price for lunch excluding gratuity is 85% of $207.
Please could you clarify at this point.
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
-
diebeatsthegmat
- Legendary Member
- Posts: 1119
- Joined: Fri May 07, 2010 8:50 am
- Thanked: 29 times
- Followed by:3 members
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
We can plug in the answer choices, which represent the price per person without the gratuity.The price of lunch for 15 peoplewas $207.00 including a 15% gratuity for service. What was the average price per person, excluding gratuity?
a.11.73
b.12.00
c.13.80
d.14.00
e.15.87
Since the total cost of 207 is an integer, the correct answer is likely to be an integer, so we should start with answer choice B or D.
Answer choice B:
Price per person = 12
Total cost for 15 people without gratuity = 15*12 = 180
Gratuity = .15*180 = 27
Total cost with gratuity = 180+27 = 207. Success!
The correct answer is B.
Plugging in the answers removes any possible confusion. We know that the price per person has to be one of the answer choices; we just have to determine which answer choice yields a final cost of 207.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
