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The price of lunch for 15 people was $207.00, including a 15 [#permalink] ### Show Tags 02 May 2012, 14:55 4 This post received KUDOS 24 This post was BOOKMARKED 00:00 Difficulty: 55% (hard) Question Stats: 62% (02:36) correct 38% (01:46) wrong based on 1316 sessions ### HideShow timer Statistics 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?

(A) $11.73 (B)$12.00
(C) $13.80 (D)$14.00
(E) $15.87 [Reveal] Spoiler: How come the answer is B? This is how I solved it and got A, which is incorrect.$207 includes 15% gratuity so 0.15 * 207 = 31.05

Price EXCLUDING gratuity = 207 - 31.05 = 175.95

Average price per person = 175.95/15 = 11.73
[Reveal] Spoiler: OA

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02 May 2012, 20:23
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The mistake you have made is that you have calculated the gratuity on the final amount, instead of finding the amount on which gratuity was charged to get the final amount.

If the amount spent excluding the gratuity was x, then x(1.15) = 207
=> x = 207/1.15 = 180

Then the average price per person = 180/15 = 12

Option (B)
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03 May 2012, 01:48
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GyanOne wrote:
The mistake you have made is that you have calculated the gratuity on the final amount, instead of finding the amount on which gratuity was charged to get the final amount.

If the amount spent excluding the gratuity was x, then x(1.15) = 207
=> x = 207/1.15 = 180

Then the average price per person = 180/15 = 12

Option (B)

gratuity is charged on final amount then is it not obvious to calculate such as!

just wish to have clarification on the two :
1.) 270 - 15% of 270 = 175.95/ 15 = 11.73

2.) if 115 is 270 then 100 = 180 and 180/15 = 12

is it not the same thing ?
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Re: The price of lunch for 15 people was $207 including a 15% [#permalink] ### Show Tags 03 May 2012, 06:51 2 This post received KUDOS 2 This post was BOOKMARKED enigma123 wrote: The price of lunch for 15 people was$207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?

A. 11.73
B. 12
C. 13.8
D. 14
E. 15.87

How come the answer is B?

This is how I solved it and got A, which is incorrect.

$207 includes 15% gratuity so 0.15 * 207 = 31.05 Price EXCLUDING gratuity = 207 - 31.05 = 175.95 Average price per person = 175.95/15 = 11.73 I'll show You perhaps the most easiest way to solve such problem As it is a percentage problem so just take the initial price before the gratuity is 100 the as the gratuity is calculated on the final price, so as we assumed the final bill before adding gratuity is 100 so gratuity is 15% of 100 is 15 so the total price of meals is 115 so the given amount i.e 207 is for 115 then we have to calculate for 100 here we go for 115 207 for 100 x so by cross multiplication we get 115x=100*207 => x=100*207/110 by simplifying we get x as 180 which is the price of lunch before gratuity so the gratuity is 27 so as the question ask the average price person excluding gratuity is 180/15=12 so our answer is b hope its concise and clear . if u satisfied with my effort don't hesitate to give +1 kudos. Math Expert Joined: 02 Sep 2009 Posts: 36540 Followers: 7072 Kudos [?]: 93037 [4] , given: 10541 Re: Price of lunch [#permalink] ### Show Tags 03 May 2012, 11:56 4 This post received KUDOS Expert's post 2 This post was BOOKMARKED kashishh wrote: GyanOne wrote: The mistake you have made is that you have calculated the gratuity on the final amount, instead of finding the amount on which gratuity was charged to get the final amount. If the amount spent excluding the gratuity was x, then x(1.15) = 207 => x = 207/1.15 = 180 Then the average price per person = 180/15 = 12 Option (B) gratuity is charged on final amount then is it not obvious to calculate such as! just wish to have clarification on the two : 1.) 270 - 15% of 270 = 175.95/ 15 = 11.73 2.) if 115 is 270 then 100 = 180 and 180/15 = 12 is it not the same thing ? Tip is charged on the bill. Consider this: the bill is$100 and tip is 15% means that total amount paid is 100+15=$115. The price of lunch for 15 people was$207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?
A. 11.73
B. 12
C. 13.8
D. 14
E. 15.87

Bill*1.15=$207 --> Bill=$180 --> per person=$180/15=$12.

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14 May 2012, 05:10
enigma123 wrote:
The price of lunch for 15 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity? A. 11.73 B. 12 C. 13.8 D. 14 E. 15.87 How come the answer is B? This is how I solved it and got A, which is incorrect.$207 includes 15% gratuity so 0.15 * 207 = 31.05

Price EXCLUDING gratuity = 207 - 31.05 = 175.95

Average price per person = 175.95/15 = 11.73

Hello
here is my approach

so let x be the sum of the 15 lunch WITHOUT the 15 %
1.15 X = 207
X = 207/ 1.15
X= 180

so 180 is for 15 people
the average price be 180 /15= 12

HENCE B

HOPE THIS HELP

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20 Feb 2013, 09:50
ravitejar wrote:
enigma123 wrote:
The price of lunch for 15 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity? A. 11.73 B. 12 C. 13.8 D. 14 E. 15.87 How come the answer is B? This is how I solved it and got A, which is incorrect.$207 includes 15% gratuity so 0.15 * 207 = 31.05

Price EXCLUDING gratuity = 207 - 31.05 = 175.95

Average price per person = 175.95/15 = 11.73

I'll show You perhaps the most easiest way to solve such problem

As it is a percentage problem so just take the initial price before the gratuity is 100 the as the gratuity is calculated on the final price, so as we assumed the final bill before adding gratuity is 100 so gratuity is 15% of 100 is 15 so the total price of meals is 115 so the given amount i.e 207 is for 115 then we have to calculate for 100 here we go

for 115 207
for 100 x

so by cross multiplication we get 115x=100*207 => x=100*207/110 by simplifying we get x as 180 which is the price of lunch before gratuity so the gratuity is 27 so

as the question ask the average price person excluding gratuity is 180/15=12 so our answer is b

hope its concise and clear .

if u satisfied with my effort don't hesitate to give +1 kudos.

Typical way to solve this nice
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27 Feb 2013, 20:31
Can someone please explain how you compute 207/1.15 under two minutes quickly? I think my division need help
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07 May 2014, 14:06
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For those who are intimidated by the division I found back solving to be very efficient for this problem.

I started with D $14.00 14*15 = 210 210>207 and that doesn't even have the gratuity added. So I know right there that D and E are out and a 20 cent deduction on choice C is probably still going to be too high. Went to answer choice B.$12.00

12*15=180 15% of 180=27 180+72=207.00
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The price of lunch for 15 people was $207 including a 15% [#permalink] ### Show Tags 12 May 2014, 01:55 1 This post was BOOKMARKED The price of lunch for 15 people was$207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?

A. 11.73
B. 12
C. 13.8
D. 14
E. 15.87

here is my trouble:

the answer is B, because people say that the "15%" means 15% of the real amount, by say real amount, I mean the amounts these guys paid for what they ate.
but what puzzled me is that,
the subject of the sentence is "the price", which equals to $207, so, in my opinion, the following "15%" is to modify "the price", which is$207. if so, the gratuity must be $207*15%, and in this way, answer is A. so could anybody explain this to me? am i wrong? thanks a lot! Math Expert Joined: 02 Sep 2009 Posts: 36540 Followers: 7072 Kudos [?]: 93037 [0], given: 10541 Re: The price of lunch for 15 people was$207 including a 15% [#permalink]

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12 May 2014, 02:00
MY42 wrote:
The price of lunch for 15 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity? A. 11.73 B. 12 C. 13.8 D. 14 E. 15.87 here is my trouble: the answer is B, because people say that the "15%" means 15% of the real amount, by say real amount, I mean the amounts these guys paid for what they ate. but what puzzled me is that, the subject of the sentence is "the price", which equals to$207, so, in my opinion, the following "15%" is to modify "the price", which is $207. if so, the gratuity must be$207*15%, and in this way, answer is A.

so could anybody explain this to me? am i wrong?
thanks a lot!

Merging similar topics. please refer to the discussion above.

Hope it helps.
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12 Sep 2014, 05:42
enigma123 wrote:
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? (A)$11.73
(B) $12.00 (C)$13.80
(D) $14.00 (E)$15.87

[Reveal] Spoiler:
How come the answer is B?

This is how I solved it and got A, which is incorrect.

$207 includes 15% gratuity so 0.15 * 207 = 31.05 Price EXCLUDING gratuity = 207 - 31.05 = 175.95 Average price per person = 175.95/15 = 11.73 let x be the total without gratuity.. then we shall form x+0.15x = 207 1.15x=207 x=207/1.15 x=180. x/15 for each person then 180/15 = 12.. SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1858 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Followers: 47 Kudos [?]: 1929 [0], given: 193 The price of lunch for 15 people was$207.00, including a 15 [#permalink]

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30 Oct 2014, 23:34
Per head without gratuity $$= \frac{207 * 100}{115 * 15} = \frac{900}{75} = 12$$

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Re: The price of lunch for 15 people was $207.00, including a 15 [#permalink] ### Show Tags 07 Jan 2015, 12:19 The price included a gratuity of 15% on top of the original bill, hence$207.00 represents 115% of bill $x.yz$207.00 ------- 115%
$x.yz ---------- 100% x =$180.00

Bill per person: $180.00 : 15 =$12.00
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Re: The price of lunch for 15 people was $207.00, including a 15 [#permalink] ### Show Tags 31 Mar 2016, 07:27 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: The price of lunch for 15 people was$207.00, including a 15   [#permalink] 31 Mar 2016, 07:27

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