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Greta’s salary was x thousand dollars per year, then she rec

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Greta’s salary was x thousand dollars per year, then she rec [#permalink] New post 10 Jun 2018, 03:52
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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.
[Reveal] Spoiler: OA

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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink] New post 13 Jun 2018, 16:32
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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
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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink] New post 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] New post 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] New post 21 Feb 2019, 10:17
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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.

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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink] New post 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] New post 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] New post 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,
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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink] New post 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] New post 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] New post 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
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