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09 Dec 2013, 00:19
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
61% (02:25) correct
39%
(02:03)
wrong
based on 474
sessions
History
Date
Time
Result
Not Attempted Yet
Every attendee at a monster truck rally paid the same admission fee. How many people attended the rally?
(1) If the admission fee had been raised to $20 and twice as many people had attended, the total admission fees collected would have been three times greater.
(2) If the admission fee had been raised to $30 and two-thirds as many people had attended, the total admission fees collected would have been 150% of the actual admission fees collected.
(1) If the admission fee had been raised to $20 and twice as many people had attended, the total admission fees collected would have been three times greater.
(2) If the admission fee had been raised to $30 and two-thirds as many people had attended, the total admission fees collected would have been 150% of the actual admission fees collected.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
09 Dec 2013, 01:04
Kudos
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Qoofi
Initially,
No of people attending = x
Price per ticket = y
Revenue collected = (No. of tickets sold)*(Price per ticket) = x*y.
Condition 1:
No of people attending = 2x
Price per ticket = 20
Revenue for condition 1 = 2x*20 = 40x
This revenue is 3 times the original revenue,
Thus, 40x = 3xy
x cancels out, hence insufficient
Condition 2:
No of people attending = 2x/3
Price per ticket = 30
Revenue for condition 1 = 2x*30/3 = 20x
This revenue is 3 times the original revenue,
Thus, 20x = 1.5xy
x cancels out, hence insufficient
1 & 2 together donot give the value of x either. Hence OA is E.
09 Dec 2013, 01:16
Kudos
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Every attendee at a monster truck rally paid the same admission fee. How many people attended the rally?
Number of attendees = n;
Fee = x.
(1) If the admission fee had been raised to $20 and twice as many people had attended, the total admission fees collected would have been three times greater.
20*2n = 3xn --> x = 40/3. Not sufficient.
(2) If the admission fee had been raised to $30 and two-thirds as many people had attended, the total admission fees collected would have been 150% of the actual admission fees collected.
30*2/3*n = 3/2*xn --> x = 40/3. Not sufficient.
(1)+(2) From both statements we have that x = 40/3, which is not sufficient to get the value of n.
Answer: E.
Hope it's clear.
Number of attendees = n;
Fee = x.
(1) If the admission fee had been raised to $20 and twice as many people had attended, the total admission fees collected would have been three times greater.
20*2n = 3xn --> x = 40/3. Not sufficient.
(2) If the admission fee had been raised to $30 and two-thirds as many people had attended, the total admission fees collected would have been 150% of the actual admission fees collected.
30*2/3*n = 3/2*xn --> x = 40/3. Not sufficient.
(1)+(2) From both statements we have that x = 40/3, which is not sufficient to get the value of n.
Answer: E.
Hope it's clear.
