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.
Greta’s salary was x thousand dollars per year, then she rec
[#permalink]
10 Jun 2018, 03:52
10 Jun 2018, 03:52
1
Expert Reply
8
Bookmarks
00:00
Question Stats:
46% (01:05) correct
53% (01:04) wrong based on 199 sessions
Hide Show timer Statistics
Greta’s salary was \(x\) thousand dollars per year, then she received a \(y\) percent raise. Annika’s salary was \(y\) thousand dollars per year, then she received an \(x\) percent raise. \(x\) and \(y\) are positive integers.
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 dollar amount of Greta’s raise |
The dollar amount of Annika’s raise |
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: Greta’s salary was x thousand dollars per year, then she rec
[#permalink]
13 Jun 2018, 16:32
13 Jun 2018, 16:32
3
Expert Reply
Explanation
Because the problem never indicates real values, pick your own smart numbers. If x = 100 and y = 50, then:
Greta’s salary was $100,000 and she received a 50% raise. Greta’s raise, therefore, was $50,000.
Annika’s salary was $50,000 and she received a 100% raise. Annika’s raise, therefore, was $50,000.
The two quantities are equal. This holds true for any positive numbers chosen for x and y, because x percent of y = y percent of x. Thus, any two numbers can be used—just as 50% of 100 = 100% of 50, it is also true that 1% of 2,000 = 2,000% of 1, or a% of b = b% of a.
Hence option C
Because the problem never indicates real values, pick your own smart numbers. If x = 100 and y = 50, then:
Greta’s salary was $100,000 and she received a 50% raise. Greta’s raise, therefore, was $50,000.
Annika’s salary was $50,000 and she received a 100% raise. Annika’s raise, therefore, was $50,000.
The two quantities are equal. This holds true for any positive numbers chosen for x and y, because x percent of y = y percent of x. Thus, any two numbers can be used—just as 50% of 100 = 100% of 50, it is also true that 1% of 2,000 = 2,000% of 1, or a% of b = b% of a.
Hence option C
Re: Greta’s salary was x thousand dollars per year, then she rec
[#permalink]
13 Jun 2018, 17:50
13 Jun 2018, 17:50
2
x, y >= 1, integer
Quantity A = xy%
Quantity B = yx%
--> A = B
Keys: C
Quantity A = xy%
Quantity B = yx%
--> A = B
Keys: C
