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The price of lunch for 15 people was $207.00, including a 15

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ThatDudeKnows
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Re: The price of lunch for 15 people was $207 including a 15% gratuity for [#permalink] New post   29 May 2022, 11:06
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RF1010 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



are we supposed to take 207 as 'x' or '1.15x'?



PITA (Plug In The Answers)!!

I usually like trying B and D. Let's start with B.
$12*15 people is $180 before gratuity.
Add 15% or $180, which is $27. That brings the total to $207. Is that what we wanted? Yep.

Answer choice B.
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Re: The price of lunch for 15 people was $207.00, including a 15 [#permalink] New post   29 May 2022, 11:15
Given: The price of lunch for 15 people was $207 including a 15% gratuity for service.
Asked: What was the average price per person, EXCLUDING the gratuity?

The price of lunch for 15 people was $207 EXCLUDING 15% gratuity for service = $207/1.15 = $180
Average price per person, EXCLUDING the gratuity = $180/15 = $12

IMO B
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The price of lunch for 15 people was $207.00, including a 15 [#permalink] New post   17 Sep 2022, 00:02
207*100
----------
115*15

207*20
--------
23*15

9*20
--------
1*15
=12
23*10=210
=>23*9 = 210-23=207
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Re: The price of lunch for 15 people was $207.00, including a 15 [#permalink] New post   27 May 2023, 10:12
To find the average price per person excluding the gratuity, we need to subtract the gratuity amount from the total price and then divide it by the number of people.

The total price including the gratuity is $207, which is equal to 100% + 15% = 115% of the average price per person. So, the average price per person would be $207 / 115% = $180.

To find the average price per person excluding the gratuity, we divide $180 by 15 people:

Average price per person = $180 / 15 = $12

Therefore, the answer is (B) $12.
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Re: The price of lunch for 15 people was $207.00, including a 15 [#permalink] New post   25 Jun 2023, 11:34
Let us consider the avg per person to be 'x'

1 . Cost of eating = No of people * x = 15x
2 . Gratuity on bill = 15 % of Cost of eating (ie. bill) = 15/100 * 15x

Therefore
15x + 15*15x/100 = 207
=> x = 12

Therefore avg person cost is 12

IMO B
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Re: The price of lunch for 15 people was $207.00, including a 15 [#permalink]
25 Jun 2023, 11:34
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