GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
State Y charges a 4 % tax on all residential household telephone lines
[#permalink]
24 Jan 2023, 09:51
24 Jan 2023, 09:51
Expert Reply
1
Bookmarks
00:00
Question Stats:
33% (02:01) correct
66% (01:28) wrong based on 12 sessions
Hide Show timer Statistics
State Y charges a 4 % tax on all residential household telephone lines each month, rounded to the nearest penny. Customer A spends less than $50 each month on his telephone bill, including tax.
A. The quantity in Column A is greater.
B. The quantity in Column B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
$48 |
The cost of Customer A's telephone bill before taxes |
A. The quantity in Column A is greater.
B. The quantity in Column B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given
Re: State Y charges a 4 % tax on all residential household telephone lines
[#permalink]
25 Jan 2023, 02:40
25 Jan 2023, 02:40
Expert Reply
OE
The total value of the bill is equal to the original value of the bill, plus 4 % of that original value. To use algebra, T = O + 0.04O = 1.040, where O is the original value of the bill (pre-taxes) and T is the total cost of the bill (including taxes).
The question states that for Customer A, T < 50. Therefore, 1.04O < 50, and 0<$50/1.04=$48.07
Therefore, the original bill could have cost $48.07 (tax of $1.92), or $48 (tax of $1.92), or $30 (tax of $1.20). Thus, the relationship cannot be determined from the information given.
The total value of the bill is equal to the original value of the bill, plus 4 % of that original value. To use algebra, T = O + 0.04O = 1.040, where O is the original value of the bill (pre-taxes) and T is the total cost of the bill (including taxes).
The question states that for Customer A, T < 50. Therefore, 1.04O < 50, and 0<$50/1.04=$48.07
Therefore, the original bill could have cost $48.07 (tax of $1.92), or $48 (tax of $1.92), or $30 (tax of $1.20). Thus, the relationship cannot be determined from the information given.
gmatclubot
Re: State Y charges a 4 % tax on all residential household telephone lines [#permalink]
25 Jan 2023, 02:40
Moderators:
