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At a certain convenience store, the revenue from Brand A hot

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At a certain convenience store, the revenue from Brand A hot [#permalink] New post 02 Jun 2010, 21:01
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At a certain convenience store, the revenue from Brand A hot dogs decreased by 5% from April to May, while the revenue from Brand B hot dogs increased by 5% from April to May. The revenue from Brand A in May was what percentage of the revenue from Brand B in April?

(1) The increase in revenue from Brand B was 19/20 the decrease in revenue from Brand A.
(2) The revenue in April from Brand A was equal to 20/19 the revenue in April from Brand B.
[Reveal] Spoiler: OA
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Re: Convenience store CR [#permalink] New post 07 Jun 2010, 10:41
The OA is correct A. Since this does not seem more of math question I will try to use as much english as possible to explain DS. I also think the idea of this question is to make people enjoy scary maths over any other approach.

Q Says revenue from Brand A & Brand B share a percent decrease & increase during the accounting month of from April to May the statement underlined is very important. I will explain later why.

Now Question that need to be answered can we find the percentage revenue if statement 1 is given. YES. I do not want to focus on maths here however since all required information is presented we can caculate the revenue percentage (Revenue of Brand A/Revenue of Brand B * 100 ).

Statement 1 - The increase in revenue from Brand B was 19/20 the decrease in revenue from Brand A. Point to be noted here, the key thing about this statement is that it does not talk about the months and derives from the information above to provide revenue information. Hence Sufficient. We can setup the equation and solve.

Statement 2. The revenue in April from Brand A was equal to 20/19 the revenue in April from Brand B.
Choices.
Can I use the information in statement 2 ? NO. Why ? because it smartly introduces the month April

Now please revisit the question stem in the above bold letters :

Q Says revenue from Brand A & Brand B share a percent decrease & increase during the accounting month of from April to May the statement underlined is very important. I will explain later why.

Here is why :
1. Since the question is not asking us to calculate the revenue percentage itself for the month of April this information is insufficient or irrelevant to answer.
2. Since the revenue are given through the month of April to May we dont have the revenue information for the month of April and we cannot setup up the equations to solve this problem.

Please consider giving kudos if you like the explanation.
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Re: Convenience store CR [#permalink] New post 07 Jun 2010, 10:55
shrivastavarohit wrote:
The OA is correct A. Since this does not seem more of math question I will try to use as much english as possible to explain DS. I also think the idea of this question is to make people enjoy scary maths over any other approach.

Q Says revenue from Brand A & Brand B share a percent decrease & increase during the accounting month of from April to May the statement underlined is very important. I will explain later why.

Now Question that need to be answered can we find the percentage revenue if statement 1 is given. YES. I do not want to focus on maths here however since all required information is presented we can caculate the revenue percentage (Revenue of Brand A/Revenue of Brand B * 100 ).

Statement 1 - The increase in revenue from Brand B was 19/20 the decrease in revenue from Brand A. Point to be noted here, the key thing about this statement is that it does not talk about the months and derives from the information above to provide revenue information. Hence Sufficient. We can setup the equation and solve.

Statement 2. The revenue in April from Brand A was equal to 20/19 the revenue in April from Brand B.
Choices.
Can I use the information in statement 2 ? NO. Why ? because it smartly introduces the month April

Now please revisit the question stem in the above bold letters :

Q Says revenue from Brand A & Brand B share a percent decrease & increase during the accounting month of from April to May the statement underlined is very important. I will explain later why.

Here is why :
1. Since the question is not asking us to calculate the revenue percentage itself for the month of April this information is insufficient or irrelevant to answer.
2. Since the revenue are given through the month of April to May we dont have the revenue information for the month of April and we cannot setup up the equations to solve this problem.

Please consider giving kudos if you like the explanation.



I disagree with your assertion on statement 2. We are given the ratio of revenue in April as A/B is 20/19. We are also given the change in revenue in May for Brand A, which is -5%.

We need to compare the revenue in May for Brand A to the revenue in April for Brand B.

Let's plug in numbers,

Assume April revenues are as follows:

Brand A = $20
Brand B = $19

Brand A Revenues in May are therefore 20 * 0.95, which equals 19, the ratio between Brand A May revenues ($19) and Brand B April Revenues ($19) is 1.

I can't find any number pair where this ratio doesn't hold true. Hence, statement 2 is sufficient and OA should be D.

If I am missing something, please let me know.

Thanks
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Re: Convenience store CR [#permalink] New post 07 Jun 2010, 11:07
Dude !!! If GMAT were an exam for math wizards only I would agree with your argument.

Since it is not, You need to use the presense of mind as well.

Can you please explain, considering you are correct what is the difference in Statement 1 and 2.

Assuming months can be ignored, it dosent matter if 19/20 or 20/19.

An an intelligent test taker it would be a waste of lot of energy and time to rewrite statement 1 in statement 2 with absolutely no change.

BEYOND ALL, Also consider this possibility April to May :

Could be 15 Apr - 15 May. If so, how would you know he revenue of accouting month from Apr to May at the end of APR?
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Re: Convenience store CR [#permalink] New post 07 Jun 2010, 11:24
shrivastavarohit wrote:
Dude !!! If GMAT were an exam for math wizards only I would agree with your argument.

Since it is not, You need to use the presense of mind as well.

Can you please explain, considering you are correct what is the difference in Statement 1 and 2.

Assuming months can be ignored, it dosent matter if 19/20 or 20/19.

An an intelligent test taker it would be a waste of lot of energy and time to rewrite statement 1 in statement 2 with absolutely no change.

BEYOND ALL, Also consider this possibility April to May :

Could be 15 Apr - 15 May. If so, how would you know he revenue of accouting month from Apr to May at the end of APR?


The answer has nothing to do with math wizardry, in statement 2 we are given the ratio of revenues in April 20 / 19. 20 * (1 - 0.05) is always 19, hence the ratio is always 1.

I am unclear of what you mean when you say "presence of mind" as I am unsure what you mean by saying an "intelligent test taker would waste alot of time" as it took 42 seconds to answer this question.

On the last point, I will make the assumption that the months are equal meaning April means all of April and the same for May. If that assumption doesn't hold true, the answer for this question and any like it would be E as there would be no solution.

The two statements are different and not the same as you imply but they are both sufficient.

Instead of worrying about the metaphysical aspects of the GMAT, it would be helpful if someone could explain how my reasoning that statement 2 is sufficient is wrong. Preferably with an example of numbers where it doesn't work. However, judging from the responses given throughout this thread, which are all D except for one and the explanation for that one has been disproven, I do not expect an explanation justifying A.

Maybe someone smarter than me on these things (Bunuel or Walker?) can shine some light on this?

Thanks
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Re: Convenience store CR [#permalink] New post 07 Jun 2010, 11:38
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shekar123 wrote:
At a certain convenience store, the revenue from Brand A hot dogs decreased by 5% from April to May, while the revenue from Brand B hot dogs increased by 5% from April to May. The revenue from Brand A in May was what percentage of the revenue from Brand B in April?

(1) The increase in revenue from Brand B was 19/20 the decrease in revenue from Brand A.

(2) The revenue in April from Brand A was equal to 20/19 the revenue in April from Brand B.


Given:
Attachment:
untitled.JPG
untitled.JPG [ 4.73 KiB | Viewed 1399 times ]


Q: \frac{0.95A}{B}=\frac{19A}{20B}=?

(1) The increase in revenue from Brand B was 19/20 the decrease in revenue from Brand A --> 0.05B=\frac{19}{20}0.05A --> \frac{A}{B}=\frac{20}{19} --> hence \frac{19A}{20B}=1. Sufficient.

(2) The revenue in April from Brand A was equal to 20/19 the revenue in April from Brand B --> A=\frac{20}{19}B --> hence \frac{19A}{20B}=1. Sufficient.

Answer: D.

Hope it's clear.
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Re: Convenience store CR [#permalink] New post 15 Jun 2013, 05:02
Bunuel wrote:
shekar123 wrote:
At a certain convenience store, the revenue from Brand A hot dogs decreased by 5% from April to May, while the revenue from Brand B hot dogs increased by 5% from April to May. The revenue from Brand A in May was what percentage of the revenue from Brand B in April?

(1) The increase in revenue from Brand B was 19/20 the decrease in revenue from Brand A.

(2) The revenue in April from Brand A was equal to 20/19 the revenue in April from Brand B.


Given:
Attachment:
untitled.JPG


Q: \frac{0.95A}{B}=\frac{19A}{20B}=?

(1) The increase in revenue from Brand B was 19/20 the decrease in revenue from Brand A --> 0.05B=\frac{19}{20}0.05A --> \frac{A}{B}=\frac{20}{19} --> hence \frac{19A}{20B}=1. Sufficient.

(2) The revenue in April from Brand A was equal to 20/19 the revenue in April from Brand B --> A=\frac{20}{19}B --> hence \frac{19A}{20B}=1. Sufficient.

Answer: D.

Hope it's clear.


Great Explanation! PS congrats on the 10000 kudos I don't think anyone will ever reach that feat on GMAT club...
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Re: Convenience store CR   [#permalink] 15 Jun 2013, 05:02
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