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

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
Tickets went on sale for a 120,000 person concert and 30% of the total  [#permalink]

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21 Jan 2018, 03:42
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Difficulty:

55% (hard)

Question Stats:

74% (02:07) correct 26% (02:37) wrong based on 64 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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Joined: 25 Feb 2013
Posts: 1178
Location: India
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Tickets went on sale for a 120,000 person concert and 30% of the total  [#permalink]

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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]

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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) _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Intern Joined: 28 Dec 2017 Posts: 30 Re: Tickets went on sale for a 120,000 person concert and 30% of the total [#permalink] ### Show Tags 21 Jan 2018, 18:04 1 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)
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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