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# Tickets to a certain concert sell for \$20 each. The first 10 people to

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Math Expert
Joined: 02 Sep 2009
Posts: 65807
Tickets to a certain concert sell for \$20 each. The first 10 people to  [#permalink]

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11 Sep 2016, 04:32
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:54) correct 14% (02:17) wrong based on 81 sessions

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Tickets to a certain concert sell for \$20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 56 people bought tickets to the concert, what was the total revenue from ticket sales?

A. \$600
B. \$740
C. \$850
D. \$980
E. \$1,140

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Joined: 08 Jun 2013
Posts: 30
Re: Tickets to a certain concert sell for \$20 each. The first 10 people to  [#permalink]

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11 Sep 2016, 08:10
3
First 10 on 40% discount i.e. 12 each for first 10 tickets =\$120
Next 20 on 15% discount i.e. 17 each for next 20 tickets = \$340
Rest 26 got tickets for \$20 = 520
Total = 120 + 340 + 520 = \$ 980

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Re: Tickets to a certain concert sell for \$20 each. The first 10 people to  [#permalink]

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11 Sep 2016, 04:54
1
Price of 1 ticket = 20\$
Revenue generated from sales of first 10 tickets = 10 * (60/100 * 20 )
= 10 * 12 = 120
Revenue generated from sales of next 20 tickets = 20 *(85/100 * 20 )
=20*17 = 340
Revenue generated from sales of last 26 tickets = 20 * 26
= 520
Revenue generated from sales of 56 tickets = 120 + 340 + 520
= 980 \$

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Re: Tickets to a certain concert sell for \$20 each. The first 10 people to  [#permalink]

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23 Jun 2017, 17:09
Bunuel wrote:
Tickets to a certain concert sell for \$20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 56 people bought tickets to the concert, what was the total revenue from ticket sales?

A. \$600
B. \$740
C. \$850
D. \$980
E. \$1,140

Simple

17(20) = 340
12(10) =120

56-30 = 26
26(20) + 460 =980

Thus
"D"
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Re: Tickets to a certain concert sell for \$20 each. The first 10 people to  [#permalink]

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17 Apr 2020, 09:41
Bunuel wrote:
Tickets to a certain concert sell for \$20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 56 people bought tickets to the concert, what was the total revenue from ticket sales?

A. \$600
B. \$740
C. \$850
D. \$980
E. \$1,140

We will assume that those who bought the tickets after the first 30 people will not receive any discount. That is, they have to pay the full price of the ticket.

If that is the case, then the total revenue from the ticket sales was:

20 x 0.6 x 10 + 20 x 0.85 x 20 + 20 x (56 - 30)

120 + 340 + 520 = 980

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Re: Tickets to a certain concert sell for \$20 each. The first 10 people to   [#permalink] 17 Apr 2020, 09:41