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

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Bunuel
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Tickets went on sale for a 120,000 person concert and 30% of the total [#permalink] New post   21 Jan 2018, 03:42
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68% (02:16) correct 32% (02:27) wrong based on 76 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 non-charitable revenue was $357,000, how many tickets were unsold?

A. None
B. 5,100
C. 15,300
D. 51,000
E. 69,000
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E
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Tickets went on sale for a 120,000 person concert and 30% of the total [#permalink] New post   21 Jan 2018, 03:50
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 non-charitable revenue was $357,000, how many tickets were unsold?

A. None
B. 5,100
C. 15,300
D. 51,000
E. 69,000


let \(n\) tickets were unsold. so total sold tickets \(= 120,000-n\)

as \(70\)% (100%-30%=70% or 0.7) revenue did not went to charity so we have -

\((120,000-n)*10*0.7=357,000\)

\(=>n=69,000\)

Option E
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Re: Tickets went on sale for a 120,000 person concert and 30% of the total [#permalink] New post   21 Jan 2018, 08:39
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 non-charitable revenue was $357,000, how many tickets were unsold?

A. None
B. 5,100
C. 15,300
D. 51,000
E. 69,000

So, 70% of the Total Revenue is 357,000

So, Total Revenue is 510000

Given , Tickets went on sale for a 120,000 person concert ....If the price of each ticket was $10...

So, No of Tickets not sold is \(\frac{1200000 - 510000}{10}\), thus answer must be (E)
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Re: Tickets went on sale for a 120,000 person concert and 30% of the total [#permalink] New post   21 Jan 2018, 18:04
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X = Total Revenue
$357,000 = 0.7*X because if 30% of the total revenue is allocated to charity, then 70% is non-charitable revenue. The problem states that $357,000 is the non-charitable revenue so $357,000 must be equal to 70% of the total revenue.

X = $510,000
Since each ticket is $10, and total revenue is $510,000, then $510,000/$10 = 51,000 which represents the total amount of tickets sold.

120,000 - 51,000 = 69,000 tickets were unsold (Option E)
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Re: Tickets went on sale for a 120,000 person concert and 30% of the total [#permalink]
21 Jan 2018, 18:04
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