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.
The price of an item is greater than $90 and less than $150.
[#permalink]
10 Jun 2018, 05:17
10 Jun 2018, 05:17
Expert Reply
8
Bookmarks
00:00
Question Stats:
57% (01:32) correct
42% (01:19) wrong based on 228 sessions
Hide Show timer Statistics
The price of an item is greater than $90 and less than $150.
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 |
The price of the item after a 10%-off discount and then a $20-off discount |
The price of the item after a $10-off discount and then a 20%-off discount |
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: The price of an item is greater than $90 and less than $150.
[#permalink]
14 Jul 2018, 04:45
14 Jul 2018, 04:45
1
Expert Reply
Explanation
Reducing a number by a percent involves multiplication; reducing a number by a fixed amount involves subtraction. The order of operations (PEMDAS) will make a difference.
One possible value for the item is $100. In this case, the value of Quantity A = ($100)(0.9) – $20 = $70. The value of Quantity B = ($100 – $10)(0.80) = $72. Here, Quantity B is greater.
However, a greater starting value may change the result, because a 20% discount off a greater starting value can result in a much greater decrease. For a $140 item, the value of Quantity A = ($140)(0.9) – $20 = $106. The value of Quantity B = ($140 – $10)(0.80) = $104.
Here, Quantity A is greater. The relationship cannot be determined from the information given.
Reducing a number by a percent involves multiplication; reducing a number by a fixed amount involves subtraction. The order of operations (PEMDAS) will make a difference.
One possible value for the item is $100. In this case, the value of Quantity A = ($100)(0.9) – $20 = $70. The value of Quantity B = ($100 – $10)(0.80) = $72. Here, Quantity B is greater.
However, a greater starting value may change the result, because a 20% discount off a greater starting value can result in a much greater decrease. For a $140 item, the value of Quantity A = ($140)(0.9) – $20 = $106. The value of Quantity B = ($140 – $10)(0.80) = $104.
Here, Quantity A is greater. The relationship cannot be determined from the information given.
Re: The price of an item is greater than $90 and less than $150.
[#permalink]
01 May 2020, 04:40
01 May 2020, 04:40
2
For this, I chose the extremes of $91 and $149. Not pretty, but makes me feel secure in my logic.
Starting with $91:
Quantity A: 10% pride reduction = $81.90, followed by $20 off, leaves you with $61.9
Quantity B: $10 off = $81, followed by 20% reduction, leaves you with $64.8
Quantity B is greater
Then, using $149:
Quantity A: 10% price reduction = $134.1, followed by $20 off leaves you with $114.10
Quantity B: $10 off = $139, followed by 20% reduction, leaving you with $112.20
Here, Quantity A is greater.
Since we have two different answers, we don't have enough information to come to a definitive conclusion. Answer is D.
Starting with $91:
Quantity A: 10% pride reduction = $81.90, followed by $20 off, leaves you with $61.9
Quantity B: $10 off = $81, followed by 20% reduction, leaves you with $64.8
Quantity B is greater
Then, using $149:
Quantity A: 10% price reduction = $134.1, followed by $20 off leaves you with $114.10
Quantity B: $10 off = $139, followed by 20% reduction, leaving you with $112.20
Here, Quantity A is greater.
Since we have two different answers, we don't have enough information to come to a definitive conclusion. Answer is D.
