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Greta’s salary was x thousand dollars per year, then she rec [#permalink]
10 Jun 2018, 03:52
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Question Stats:
38% (00:54) correct
61% (01:03) wrong based on 98 sessions
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.
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.
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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink]
13 Jun 2018, 16:32
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ExplanationBecause 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
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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink]
13 Jun 2018, 17:50
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x, y >= 1, integer Quantity A = xy% Quantity B = yx% > A = B
Keys: C



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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink]
21 Feb 2019, 07:37
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Just for my better understanding : the question says " y raise or x raise", NOT x percent or y percent raise. The raise maybe in whole figure ( say y=300 dollar raise or y=400 dollar raise), instead of x% or y% raise, is not it? Please help somebody with some explanation. Thanks in advance .



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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink]
21 Feb 2019, 10:17
If your salary is 100 and then the increase is 10, then you do have $10 more. But still, it is a 10% increase. The two things overlap. It is not specified in the stem. In this particular case, we can hand it as % also. Hope is clear now. Regards
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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink]
16 Jun 2019, 10:20
Carcass wrote: If your salary is 100 and then the increase is 10, then you do have $10 more. But still, it is a 10% increase.
The two things overlap. It is not specified in the stem.
In this particular case, we can hand it as % also.
Hope is clear now.
Regards No, unfortunately it is still not clear. How about we would not assume that there are percents? Then Greta had $100 000, raise was 50 000, => raise was 50 000; Annika had $50 000, raise was $100 000 => raise WAS 100 000. What exactly am I missing? Where is this mysterious thing which is obvious for the rest of us?



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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink]
25 Jun 2019, 03:41
I agree with leanyanko (received a y raise) is different from (received a y% raise) y raise means a constant number, in this case the answer will be "D"



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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink]
25 Jun 2019, 06:04
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You are all correct to question the veracity of the official answer. I have edited the question to show that we are raising the salaries by y and x PERCENT. Cheers, Brent
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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink]
01 May 2020, 03:23
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This doesn't make sense to me...I thought the answer was D. Please correct me where I am wrong.
If x = 30 and y = 10 x+y% raise = 30 + 10% = 33 y+x% raise = 10 + 30% = 13.
I can also do this for x=200 and y=2 200+2% raise = 202 2 + 200% raise = 6



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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink]
22 May 2020, 11:10
shift5105 wrote: This doesn't make sense to me...I thought the answer was D. Please correct me where I am wrong.
If x = 30 and y = 10 x+y% raise = 30 + 10% = 33 y+x% raise = 10 + 30% = 13.
I can also do this for x=200 and y=2 200+2% raise = 202 2 + 200% raise = 6



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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink]
30 May 2020, 00:56
d




Re: Greta’s salary was x thousand dollars per year, then she rec
[#permalink]
30 May 2020, 00:56





