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

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
The price of an airline ticket to Zua Zua island on a chartered flight  [#permalink]

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27 Dec 2017, 23:07
00:00

Difficulty:

25% (medium)

Question Stats:

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

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 _________________ Senior Manager Joined: 08 Aug 2017 Posts: 289 Re: The price of an airline ticket to Zua Zua island on a chartered flight [#permalink] ### Show Tags 28 Dec 2017, 02:22 1 500*50 + 600*8 = 29800 < 30000 So total tickets to be sold to realize revenue atleast 30000 are 59. D is answer. Director Joined: 27 May 2012 Posts: 667 The price of an airline ticket to Zua Zua island on a chartered flight [#permalink] ### Show Tags 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.
_________________

- Stne

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

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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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Abhishek....

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Manager
Joined: 24 Dec 2017
Posts: 179
Location: India
Concentration: Strategy, Real Estate
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Re: The price of an airline ticket to Zua Zua island on a chartered flight  [#permalink]

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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
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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