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The price of an airline ticket to Zua Zua island on a chartered flight

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The price of an airline ticket to Zua Zua island on a chartered flight  [#permalink]

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New post 27 Dec 2017, 23:07
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A
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C
D
E

Difficulty:

  25% (medium)

Question Stats:

80% (01:23) correct 20% (01:24) wrong based on 27 sessions

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The price of an airline ticket to Zua Zua island on a chartered flight with 200 seats is set at $500 for the first 50 tickets sold. Once 50 tickets are sold, the price of each ticket is set at $600. What is the least number of tickets that must be sold to realize revenue of at least $30,000?

A. 50
B. 57
C. 58
D. 59
E. 60

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Re: The price of an airline ticket to Zua Zua island on a chartered flight  [#permalink]

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New post 28 Dec 2017, 02:22
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500*50 + 600*8 = 29800 < 30000
So total tickets to be sold to realize revenue atleast 30000 are 59.
D is answer.
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The price of an airline ticket to Zua Zua island on a chartered flight  [#permalink]

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New post 20 Sep 2018, 04:44
Bunuel wrote:
The price of an airline ticket to Zua Zua island on a chartered flight with 200 seats is set at $500 for the first 50 tickets sold. Once 50 tickets are sold, the price of each ticket is set at $600. What is the least number of tickets that must be sold to realize revenue of at least $30,000?

A. 50
B. 57
C. 58
D. 59
E. 60


Dear Moderator,
Just a thought,
"..............chartered flight with 200 seats is set at $500 for the first 50 tickets sold..." This could be interpreted as that 50 seats together cost 500. Leading to a different answer.
"..............chartered flight with 200 seats is set at $500 for EACH TICKET for the first 50 tickets sold..." This gives the meaning in a more clearer way.
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Re: The price of an airline ticket to Zua Zua island on a chartered flight  [#permalink]

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New post 20 Sep 2018, 06:54
Bunuel wrote:
The price of an airline ticket to Zua Zua island on a chartered flight with 200 seats is set at $500 for the first 50 tickets sold. Once 50 tickets are sold, the price of each ticket is set at $600. What is the least number of tickets that must be sold to realize revenue of at least $30,000?

A. 50
B. 57
C. 58
D. 59
E. 60

\(30000 = 50*500 + 600t\)

Or, \(300 = 50*5 + 6t\)

Or, \(6t = 50\)

So, \(t = 8.xxx\)

Thus, total no of tickets sold must be 50 + 8.xx > 58, among the given options only (D) matches, hence answer must be (D)
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Re: The price of an airline ticket to Zua Zua island on a chartered flight  [#permalink]

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New post 20 Sep 2018, 21:34
Amount: Atleast 30,000
First 50 seats = 50 x 500 =>25,000
i.e., we need more than 50 seats

Remaining amount = 5,000
=>5000/600 = 8.33

So 50+8.33 = 58.33

50x500 + 8x600 = 29,800 and the question is asking atleast 30,000 & least number of tickets sold.

Hence D is only choice
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Re: The price of an airline ticket to Zua Zua island on a chartered flight &nbs [#permalink] 20 Sep 2018, 21:34
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