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# The price of lunch for 15 people was \$207 including a 15

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Manager
Joined: 17 Jul 2006
Posts: 50

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The price of lunch for 15 people was \$207 including a 15 [#permalink]

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13 Nov 2006, 15:23
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

The price of lunch for 15 people was \$207 including a 15 percent gratuity for service. What was the average price per person, excluding the gratuity?

A)\$11.73
B)\$12.00
C)\$13.00
D)\$14.00
E)\$15.87

(207) (15 / 100) = 31.05
207 â€“ 31.05 = 179.95
179.95 / 15 = 11.73

But the correct answer is \$12.00. Why?

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Retired Moderator
Joined: 05 Jul 2006
Posts: 1749

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13 Nov 2006, 15:32
The price of lunch for 15 people was \$207 including a 15 percent gratuity for service. What was the average price per person, excluding the gratuity?

A)\$11.73 B)\$12.00 C)\$13.00 D)\$14.00 E)\$15.87

LET ORIGINAL PRICE BEFORE SERVICE = X

PRICE AFTER SERVICE = 207

= X+.15X = 1.15X = 207

X = 180

AVERAGE = 180/15 = 12

HOPE THIS HELPS

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Manager
Joined: 25 May 2006
Posts: 226

Kudos [?]: 75 [0], given: 0

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13 Nov 2006, 16:46
=207/1.15 = 180
=180/15 = 12
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13 Nov 2006, 16:46
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# The price of lunch for 15 people was \$207 including a 15

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