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Tickets went on sale for a 120,000 person concert and 30% of the total

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Joined: 02 Sep 2009
Posts: 49862
Tickets went on sale for a 120,000 person concert and 30% of the total  [#permalink]

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New post 31 Dec 2017, 08:27
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88% (01:48) correct 13% (01:02) wrong based on 12 sessions

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Tickets went on sale for a 120,000 person concert and 30% of the total revenue was allocated to charity. If the price of each ticket was $10, and the charitable revenue was $360,000, how many tickets were unsold?

A. None
B. 1000
C 1200
D. 2500
E. 3250

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Re: Tickets went on sale for a 120,000 person concert and 30% of the total  [#permalink]

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New post 31 Dec 2017, 08:35
Bunuel wrote:
Tickets went on sale for a 120,000 person concert and 30% of the total revenue was allocated to charity. If the price of each ticket was $10, and the charitable revenue was $360,000, how many tickets were unsold?

A. None
B. 1000
C 1200
D. 2500
E. 3250



30% of the total revenue is given as $360,000

Therefore, 100% of the revenue would be = $120,0000

Thus, total tickets sold = 120,0000/Price of one ticket = 120,0000/10 = 120,000

Therefore, we can conclude that none of the tickets went unsold. The correct answer should be Option A.
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Re: Tickets went on sale for a 120,000 person concert and 30% of the total  [#permalink]

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New post 31 Dec 2017, 14:31
Bunuel wrote:
Tickets went on sale for a 120,000 person concert and 30% of the total revenue was allocated to charity. If the price of each ticket was $10, and the charitable revenue was $360,000, how many tickets were unsold?

A. None
B. 1000
C 1200
D. 2500
E. 3250


Before calculating, we'll estimate the answer to get a feel for the question.
This is an Alternative approach.

Let's say all the tickets were sold. That comes to 120,000*10 = $1,200,000.
If 30% of that went to charity then a total of $1,200,000*30% = $360,000 went to charity.
That's exactly what we're looking for! Therefore all tickets were sold.
Usually estimation can help us zoom in on the answer but in this case it solved the question.
(A) is our answer.
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Re: Tickets went on sale for a 120,000 person concert and 30% of the total &nbs [#permalink] 31 Dec 2017, 14:31
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