Tickets for all but 100 seats in a 10,000-seat stadium were

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

Tickets for all but 100 seats in a 10,000-seat stadium were

by BTGmoderatorDC » Thu May 02, 2019 1:04 am

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Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 20% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?

A. $15,840
B. $17,820
C. $18,000
D. $19,800
E. $21,780

OA B

Source: Official Guide

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Source: Beat The GMAT — Problem Solving | Thu May 02, 2019 1:04 am

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by GMATGuruNY » Thu May 02, 2019 2:20 am

BTGmoderatorDC wrote:Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 20% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?

A. $15,840
B. $17,820
C. $18,000
D. $19,800
E. $21,780

If all 10,000 tickets are sold, we get:
20% sold for $1 each = 2000*1 = 2,000
80% sold for $2 each = 8000*2 = 16,000
Total revenue = 2000+16000 = 18,000
Since 100 tickets are not actually sold, the total revenue must be a bit less than 18,000.

The correct answer is B.

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swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

by swerve » Thu May 02, 2019 9:24 am

100 are not sold from 10,000

So seats sold$=9900$

$20\%$ is 1980 and the remaining $80\%$ is 7920.

Each ticket cost 2$ and 1980 cost 1$

So $2*7920 +1980=17820$ is our answer $\Rightarrow$ __B__

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8083; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Mon May 06, 2019 7:12 pm

BTGmoderatorDC wrote:Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 20% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?

A. $15,840
B. $17,820
C. $18,000
D. $19,800
E. $21,780

OA B

Source: Official Guide

We see that 10,000 - 100 = 9,900 tickets were actually sold.

0.2 x 9,900 = 1,980 tickets were sold for 1 dollar each, so these tickets generated 1,980 dollars in revenue.

9,900 - 1,980 = 7,920 were sold for 2 dollars each, so these tickets generated 15,840 dollars in revenue.

The total revenue earned was 1,980 + 15,840= 17,820 dollars.

Answer: B

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