Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of t

Question

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

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

The question was locked, so this is a re-post.

What is the quickest way to solve this? I guess rounding is one method. Are there any other methods?

Kurtosis · Accepted Answer

10000 seats --> Full Price : Half Price = 8000 : 2000
Price when all seats are filled = 16000 + 2000 = 18000

100 seats are unsold --> Loss due to unfilled seats = 20 + 2*80 = 180

Revenue = 18000 - 180 = 17820

Answer: B

hsbinfy · Answer

100 are not sold from 10,000

So seats sold=9900

20% is 1980 and remaining 80% is 7920.

each ticket cost 2$ and 1980 cost 1$

So 2*7920 +1980=17820 is ur answer.

dave13 · Answer

The fastest way to solve it, is to ignore at first the fact that 100 were not sold. so 20% of 10,000 = 2000 remaining 8000 sold for 2 dollar = 16000 16,000+2000 = 18,000 (now since -100 tickets) from answer options one can see that the clossest number should be just a bit smaller than 18000 Hence B

ScottTargetTestPrep · Answer

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

YashChavan05 · Answer

Tickets for all but 100 seats in a 10,000-seat stadium were sold. what this exactly means?

aarushi1710 · Answer

Tickets for all but a 100 seats were sold means,

total seats - 100 seats were sold, i.e. 10,000 - 100 seats were sold (9900 were sold and 100 remains unsold)

Think of it this way - tickets for ALL except a 100 seats were sold, so 100 seats remain unsold.

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Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of t

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Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of t

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