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20 Jun 2025, 00:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:23) correct
18%
(02:15)
wrong
based on 68
sessions
History
Date
Time
Result
Not Attempted Yet
Every pupil in a school was given one ticket for a concert. The school was charged a total of $6000 for these tickets, all of which were of equal value. What was the price of one ticket?
(1) If the price of each ticket had been one dollar less, the total cost would have been 1,200 less.
(2) If the price of each ticket had been $2 more, the total bill would have increased by 40%.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) If the price of each ticket had been one dollar less, the total cost would have been 1,200 less.
(2) If the price of each ticket had been $2 more, the total bill would have increased by 40%.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
20 Jun 2025, 01:09
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Let the price be p and number of people be n
np = 6000
p=?
We need n to calculate p
S1
(p-1)n=6000-1200
np-n=6000-1200
n=1200
p=6000/1200=5
Sufficient
S2
(p+2)n = 1.4*6000
np+2n=1.4*6000
2n=6000*(1.4-1)
n=3000*0.4
n=1200
p=6000/1200=5
Sufficient
Answer D
np = 6000
p=?
We need n to calculate p
S1
(p-1)n=6000-1200
np-n=6000-1200
n=1200
p=6000/1200=5
Sufficient
S2
(p+2)n = 1.4*6000
np+2n=1.4*6000
2n=6000*(1.4-1)
n=3000*0.4
n=1200
p=6000/1200=5
Sufficient
Answer D
Bunuel
20 Jun 2025, 10:03
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Bunuel
Let the number of pupil be n.
Let the price be p.
np = $6000
We need to find the price of one ticket = p.
Statement 1:
(1) If the price of each ticket had been one dollar less, the total cost would have been 1,200 less.
If $1 is less per ticket, the total value is $1200 less. So, the number of person = 1200.
1200*p = 6000
Price per Ticket = $5.
Hence, Sufficient
Statement 2:
(2) If the price of each ticket had been $2 more, the total bill would have increased by 40%.
n * (p+2) = (140/100)* 6000
np + 2*n = 8400
2*n = 8400 - 6000
n =1200.
Price per Ticket = $5.
Hence, Sufficient
Option D
