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02 Apr 2025, 00:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
77% (02:33) correct
23%
(02:23)
wrong
based on 133
sessions
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Julie bought 2 adult tickets, 1 child ticket, and 1 senior ticket to an amusement park. She received 30% off the adult tickets and 15% off the child and senior tickets. Was the total amount of the 4 discounts greater than 20% of the sum of the regular prices of the 4 tickets?
(1) The original price of an adult ticket was $48, the original price of the senior ticket was $24, and the original price of the child ticket was less than the senior ticket.
(2) The original price of the child ticket was $12.
Source: Veritas Prep
(1) The original price of an adult ticket was $48, the original price of the senior ticket was $24, and the original price of the child ticket was less than the senior ticket.
(2) The original price of the child ticket was $12.
Source: Veritas Prep
02 Apr 2025, 23:53
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Bunuel
Julie bought 2 A, 1C and 1 S tickets.
Discounts offered was:
30% on Adult tickets , 15% on Child ticket and a 15% on Senior citizens tickets.
The question asked is : Was the total amount of the 4 discounts greater than 20% of the sum of the regular prices of the 4 tickets?
Converting it into equation., we get
30%(2A) + 15% (C) + 15% (S ) > 20% ( 2A+ C+S)
60A + 15C + 15S > 40 A + 20 C + 20 S
20 A > 5C + 5S
Is 4A > C+S ?
Statement 1:
(1) The original price of an adult ticket was $48, the original price of the senior ticket was $24, and the original price of the child ticket was less than the senior ticket.
4*(48) > C + 24
lets take C to be max 23
192 > 23+24
Hence, SUFFICIENT.
Statement 2:
(2) The original price of the child ticket was $12.
Stand alone this statement is not sufficient to answer. Because values of A and S are unknown.
Hence Option A
03 Apr 2025, 07:13
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Think of weighted avg
30% has a weight of 2A
15% has a weight of C+S
If 2A were equal to C+S, the overall discount would be (30+15/2) = 22.5%. If 2A > C+S, we know that overall discount is greater than 20%
Q becomes: Is 2A > C+S?
Statement 1
A = 48
S = 24
C<S
Let C be 23 (taking max possible value)
2A = 96
C+S = 24+23 = 45
2A > C+S
Sufficient
Statement 2
C = 12
This gives no info on A and S
Insufficient
Answer A
30% has a weight of 2A
15% has a weight of C+S
If 2A were equal to C+S, the overall discount would be (30+15/2) = 22.5%. If 2A > C+S, we know that overall discount is greater than 20%
Q becomes: Is 2A > C+S?
Statement 1
A = 48
S = 24
C<S
Let C be 23 (taking max possible value)
2A = 96
C+S = 24+23 = 45
2A > C+S
Sufficient
Statement 2
C = 12
This gives no info on A and S
Insufficient
Answer A
Bunuel
