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An assumption is a premise required to make the conclusion in the argument.

Lets says a pack costed 100 cents before the tax increase. If the pre-tax price dropped by 8 cents, then the pre-tax cost would be (100-8)=92 cents. After applying the increased tax, the new price would be 1.00(0.92+0.08).

If this was true, then the federal tax increase would not have made any difference to the price. So, the conclusion that the drop in sales was due to the tax increase would not hold water. For the conclusion to be true, we need to assume that the pre-tax price did not decrease by 8 cents. This can be re-written as

For the year following the tax increase, the pretax price of a pack of cigarettes was not eight or more cents lower than it had been in the previous year.

D is the required assumption.

Originally posted by ncp on 04 Feb 2007, 18:25.
Last edited by ncp on 04 Feb 2007, 21:09, edited 1 time in total.
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Swagatalakshmi wrote:
In the year following an 8-cent increase in the federal tax on a pack of cigarettes, sales of cigarettes fell 10%. In contrast, in the year prior to the tax increase, sales had fallen 1%. The volume of cigarette sales is therefore strongly related to the after-tax price of a pack of cigarettes.

The argument above requires which of the following assumptions?

A. During the year following the tax increase, the pretax price of a pack of cigarettes did not increase by as much as it had during the year prior to the tax increase.

B. The one percent fall in cigarette sales in the year prior to tax increase was due to a smaller tax increase.

C. The pretax price of a pack of cigarettes gradually decreased throughout the year before and the year after the tax increase.

D. For the year following the tax increase, the pretax price of a pack if cigarettes were not eight or more cents lower than it had been the previous year.

If the pretax price was less than 8 cents or more then the increase in tax would not have any impact and that impact can't be attributed to drop in sales. Tax can have impact only when there is overall increase in the price.

E. As the after-tax price of a pack of cigarettes rises, the pretax price also rises.
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If the pre tax price was 8 or more cents lower. Cigarettes would cost just as much or less than they did before. If thats true then the conclusion cannot stand on its own. After tax price would not be the cause of slower sales .
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Re: In the year following an eight-cent increase in the federal tax on a [#permalink]
Why not B ?
Also A is very confusing :(
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Practicegmat wrote:
Why not B ?
Also A is very confusing :(


The premise: tax fee/pack of cigarette = 8 cent ==> sales decrease 10%
no tax ===> sales decrease only 1%

Conclusion: Tax correlate with sales


I will negate A and B:
A. During the year following the tax increase, the pretax price of a pack of cigarettes INCREASED by as much as it had during the year prior to the tax increase.

Last: pretax price 110 cent (increase 10 cent from 100 cent in the previous year) => price after tax: 118
Now: pretax price 120 cent (also increase 10 cent) => price after tax: 128

This fact does not reflect add tax into pretax price of cigarette pack will make the sale decrease

B. The one percent fall in cigarette sales in the year prior to tax increase was due to a smaller tax increase.

In contrast, in the year prior to the tax increase, sales had fallen 1%. (from the argument). In fact the year before tax increase, there is no tax increase. The tax keep constant. That explains why choice B is wrong answer.
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thebigr002 wrote:
In the year following an 8-cent increase in the federal tax on a pack of cigarettes, sales of cigarettes fell 10%. In contrast, in the year prior to the tax increase, sales had fallen 1%. The volume of cigarette sales is therefore strongly related to the after-tax price of a pack of cigarettes.

The argument above requires which of the following assumptions?

A. During the year following the tax increase, the pretax price of a pack of cigarettes did not increase by as much as it had during the year prior to the tax increase.

B. The one percent fall in cigarette sales in the year prior to tax increase was due to a smaller tax increase.

C. The pretax price of a pack of cigarettes gradually decreased throughout the year before and the year after the tax increase.

D. For the year following the tax increase, the pretax price of a pack of cigarettes were not eight or more cents lower than it had been the previous year.

E. As the after-tax price of a pack of cigarettes rises, the pretax price also rises.



OA is D.
Kindly explain how?
I had reasoned it to be B. please tell me what's wrong there.

Hi thebigr,

Step 1: Identify the question type.

The word "assumption" makes it clear that we are dealing with, appropriately enough, an assumption question! This is a member of the "Argument" question family, so knowing this helps up read and plan strategically.

Step 2: Untangle the stimulus.

Because this is an argument question, we know that the assumption the unstated gap between the authors main conclusion and his cited evidence. So, we'll start with his conclusion: that the tax increase is responsible for the reduction of cigarette sales. And his evidence? Well, there was an 8 cent tax boost, and that 8 cent increase correlated to a steep decrease in cigarett sales.

So what's missing? Well, a tax is only part of the story when it comes to cigarette prices! After all, the cigarettes themselves cost money, too. Who knows how much people are paying out-of-pocket for cigarettes today. This is a classic GMAT critical reasoning pattern, and we know the assumption: that the base price of the cigarettes has not dropped enough to offset the tax increase!

Step 3: Make a prediction.

For Assumption questions, the assumption is our predictions. We predict an answer choice that says that the untaxed price of cigarettes hes stayed constant or risen.

Step 4: Evaluate the answer choices.

That's (D). And one of the great things about making a prediction in step 3 is that we don't get distracted by (B) here! Of course, we could rule out (B) for being out of scope--the cause of the 1% decrease last year is irrelevant to the argument at hand. But it's much easier to spot 1 match than to rule out 4 wrong choices, so that's what we should aim for.

Hope this helps!
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Re: In the year following an eight-cent increase in the federal tax on a [#permalink]
Even I got confused by the meaning of D. Can someone explain what is pretax price and how does it impact the conclusion.
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+1 for D.

A. During the year following the tax increase, the pretax price of a pack of cigarettes did not increase by as much as it had during the year prior to the tax increase. --> negate: if we see price of cig increased as much as it had in the year prior to the tax, then it would explain why sales have decreased and they are being forced to lower their volume per cigarette package to make up for those that aren't buying the product. ELIMINATE.

B. The one percent fall in cigarette sales in the year prior to the tax increase was due to a smaller tax increase. -->irrelevant; we don't care about whether there was a tax before - unless we know the company's response (aka pre-tax = price of cigarettes) we cannot use this info; we need to know how people are responding to the product before the shock takes place.

C The pretax price of a pack of cigarettes gradually decreased throughout the year before and after the tax increase --> this isn't helpful as it doesn't give us any relation between pre-tax and after-tax

D. For the year following the tax increase, the pretax price of a pack of cigarettes was not eight or more cents lower than it had been in the previous year. --> Correct! Negate: if the pre-tax price was 0.08+ lower, then the price of the product would be roughly the same as the prior year (if not lower). Based on the law of demand we know that as P decreases --> Q increases, which challenges the conclusion drawn out in the prompt. The prompt is having us infer that because this tax took place, and the Co. kept their Priceproduct the same, that less people were willing to buy the product. They were facing a higher Priceproduct (pre-tax same + new after-tax amount = Priceproduct) and as result Quantity decreased.

E. As the after-tax price of a pack of cigarettes rises, the pretax price also rises. --> Similar to discussion in D, if we negate: pretax price doesn't right as after-tax price rises --> great, doesn't help us. People are responding exactly how we would predict they would and this doesn't challenge the conclusion.
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Re: In the year following an eight-cent increase in the federal tax on a [#permalink]
i got lost on this question. i understand we're trying to negate, and therefore attack the conclusion.

whats tripping me up is the sheer number of variables:
> volume of cigarette sales (on both sides of the 8-cent increase in federal taxes)
> pre-tax price of cigarettes
> after-tax price of cigarettes
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Re: In the year following an eight-cent increase in the federal tax on a [#permalink]
GMATNinjaTwo wrote:
Quote:
whats tripping me up is the sheer number of variables:
> volume of cigarette sales (on both sides of the 8-cent increase in federal taxes)
> pre-tax price of cigarettes
> after-tax price of cigarettes


Hi LakerFan24, maybe this will help you keep track of the variables...

a = the after-tax price of cigarettes
p = the pre-tax price of cigarettes
t = the tax

The after-tax price is equal to the pre-tax price plus the tax, so a = p + t. For example, if the pre-tax price of a pack is $4.75 (p = 4.75) and the tax on each pack is $0.25 (t = 0.25), the after-tax price is $5.00 (a = p + t = 4.75 + 0.25 = 5.00).

If the tax (t) increases by 8 cents (from 25 cents per pack to 33 cents per pack) and the pre-tax price (p) remains unchanged, the after-tax price (a) will go up by 8 cents (a = p + t = 4.75 + .33 = 5.08). But what if the pre-tax price (p) decreases from $4.75 to $4.67? In that case, the after-tax price (a) will remain unchanged, despite the tax increase (a = p + t = 4.67 + .33 = $5.00). What if the pre-tax price (p) decreases from $4.75 to $4.50? In that case, the after-tax price (a) will decrease from $5.00 to $4.83 (a = p + t = 4.50 + .33 = 4.83).

Hopefully that helps you make sense of the passage and answer choice D!


do you seriously track all these variables and equations in your head? i don't write down notes for the verbal section, i only map out a chart for A/C A:E and i track the # of questions (make a note for #10/15/20/25/30/35/40...)
- is there another way of doing this problem in which you don't have to rely on these calculations?
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LakerFan24, those calculations are certainly not necessary. The point is to understand that the after-tax price is comprised of two parts: 1) the pre-tax price and 2) the tax. Therefore, if we only know that the tax increased by 8 cents, we do not know if the after-tax price increased, remained the same, or decreased (because we do not know how much the pre-tax price changed, if at all). If we make the assumption given in choice D, then we know that the after-tax price must have also increased when the tax was increased. The argument makes sense once we establish that the after-tax price increased. Those variables and equations are not necessary; I simply used them as an example to clarify the logic. I hope that helps!
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Hi,
In option D, the phrasing is the "for the year following the tax increase". Doesn't that mean the argument is talking about the next year? Since what happens in next year is irrelevant to the argument, I eliminated this choice.
The choice would have made complete sense had it said "during the year of tax increase". Am I thinking in the wrong direction or thinking too much?
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abhijay wrote:
Hi,
In option D, the phrasing is the "for the year following the tax increase". Doesn't that mean the argument is talking about the next year? Since what happens in next year is irrelevant to the argument, I eliminated this choice.
The choice would have made complete sense had it said "during the year of tax increase". Am I thinking in the wrong direction or thinking too much?

Yes, choice (D) refers to "the year following the tax increase", but so does the argument in the passage: "In the year following an 8-cent increase in the federal tax". So choice (D) is consistent with the the argument.
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Swagatalakshmi wrote:
In the year following an 8-cent increase in the federal tax on a pack of cigarettes, sales of cigarettes fell 10%. In contrast, in the year prior to the tax increase, sales had fallen 1%. The volume of cigarette sales is therefore strongly related to the after-tax price of a pack of cigarettes.

The argument above requires which of the following assumptions?


(A) During the year following the tax increase, the pretax price of a pack of cigarettes did not increase by as much as it had during the year prior to the tax increase.

(B) The one percent fall in cigarette sales in the year prior to tax increase was due to a smaller tax increase.

(C) The pretax price of a pack of cigarettes gradually decreased throughout the year before and the year after the tax increase.

(D) For the year following the tax increase, the pretax price of a pack if cigarettes were not eight or more cents lower than it had been the previous year.

(E) As the after-tax price of a pack of cigarettes rises, the pretax price also rises.



The trick to good score in GMAT is not just to solve a CR question right but to solve it fast. This is how I would approach this question:
Paraphrasing the question: Tax on cigarettes increased by 8% and sales fell by 10%. Therefore, sales volume is strongly related to after tax price.
Common knowledge: After tax price= Pre tax price (1 + tax rate/ 100)
As conclusion says sales is strongly related to "after tax price" which was drawn on basis of tax increase, then the after tax price must has increased due to tax rate. Therefore Pretax price didnt fall by >=8%.

Lets evaluate options, bearing in mind that it is an assumption question which tests what is required for the conclusion to be true:
(A) During the year following the tax increase, the pretax price of a pack of cigarettes did not increase by as much as it had during the year prior to the tax increase.
Evaluation: The pretax price of cigarettes has increased but by a lessor amount than in previous years. Is pretax price increase required for the conclusion to be true. no. Even without a pre tax price increase, the post tax price can increase due to tax and conclusion talks about relation between post tax price and sales.

(B) The one percent fall in cigarette sales in the year prior to tax increase was due to a smaller tax increase.
Evaluation: In previous year, tax increase led to price increase. Do i require that during previous year a tax increase should decline sales by 1% for drawing the conclusion. No

(C) The pretax price of a pack of cigarettes gradually decreased throughout the year before and the year after the tax increase.
Evaluation: The pretax price decreased. This can actually harm the conclusion if the pretax price decrease was more than 8%, then the post tax price of cigarettes could have reduced and thus the drawn conclusion can fall apart.

(D) For the year following the tax increase, the pretax price of a pack if cigarettes were not eight or more cents lower than it had been the previous year.
Evaluation: This is the required assumption that the pre tax price were not eight or more cents lower , or there would not be a post tax price increase and the drawn conclusion will fall apart.

(E) As the after-tax price of a pack of cigarettes rises, the pretax price also rises.
Evaluation: Even if the pretax price doesnt rise, the post tax can still rise. This is not a required assumption.

Please hit +1 Kudos if you liked the Explanation. :cool:
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Swagatalakshmi wrote:
In the year following an 8-cent increase in the federal tax on a pack of cigarettes, sales of cigarettes fell 10%. In contrast, in the year prior to the tax increase, sales had fallen 1%. The volume of cigarette sales is therefore strongly related to the after-tax price of a pack of cigarettes.

The argument above requires which of the following assumptions?


(A) During the year following the tax increase, the pretax price of a pack of cigarettes did not increase by as much as it had during the year prior to the tax increase.

(B) The one percent fall in cigarette sales in the year prior to tax increase was due to a smaller tax increase.

(C) The pretax price of a pack of cigarettes gradually decreased throughout the year before and the year after the tax increase.

(D) For the year following the tax increase, the pretax price of a pack if cigarettes were not eight or more cents lower than it had been the previous year.

(E) As the after-tax price of a pack of cigarettes rises, the pretax price also rises.


Year 0 - Pretax price was $4 and tax was say 50 cent. After tax price = $4.50
Sales fell by 1%

Year 1 - Tax increased by 8 cent to 58 cents. After tax price = $4.58 (presumably)
In year 1, sales decreased by 10%.

Conclusion: Volume of sales is strongly related to after tax price.

The data only tells us that the tax increased by 8 cents in one year in which sales fell 10%. But the conclusion is concluding about the sales being related to the entire "after tax price".
To conclude that sales is related to after tax price, we need to assume that the after tax price did increase because of which sales dipped. What in year 1, the pretax price was $3.92 and hence after tax price was still $4.50. Then can we say that sales depends on after tax price? No.

This is given in option (D). Hence that is the answer.

(A) During the year following the tax increase, the pretax price of a pack of cigarettes did not increase by as much as it had during the year prior to the tax increase.

Even if the pretax price increased more this year, it just means that after tax price was higher this year and hence the sales decreased. We don't need to assume that pre tax price did not increase as much as it had in the previous year.

(B) The one percent fall in cigarette sales in the year prior to tax increase was due to a smaller tax increase.

1% change in sales is too little to comment on. It kind of implies stable sales only. We need to assume that the 1% fall was due to smaller increase in tax.

(C) The pretax price of a pack of cigarettes gradually decreased throughout the year before and the year after the tax increase.

We are assuming that the pretax price did not decrease.

(D) For the year following the tax increase, the pretax price of a pack if cigarettes were not eight or more cents lower than it had been the previous year.

Correct.

(E) As the after-tax price of a pack of cigarettes rises, the pretax price also rises.

We don't need to assume this. The pretax price could stay stable.

Answer (D)
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buckkitty wrote:
In the year following an eight-cent increase in the federal tax on a pack of cigarettes, sales of cigarettes fell ten percent. In contrast, in the year prior to the tax increase, sales had fallen one percent. The volume of cigarette sales is therefore strongly related to the after-tax price of a pack of cigarettes.

The argument above requires which of the following assumptions?

(A) During the year following the tax increase, the pretax price of a pack of cigarettes did not increase by as much as it had during the year prior to the tax increase.

(B) The one percent fall in cigarette sales in the year prior to the tax increase was due to a smaller tax increase.

(C) The pretax price of a pack of cigarettes gradually decreased throughout the year before and after the tax increase

(D) For the year following the tax increase, the pretax price of a pack of cigarettes was not eight or more cents lower than it had been in the previous year.

(E) As the after-tax price of a pack of cigarettes rises, the pretax price also rises.


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The argument presupposes a correlation on the basis of a comparable pre-tax price.

IF the situation were as below:
Pre-tax price in 2008 : $100
pre-tax price in 2009 : $99.2

Add tax:
2008: $100.01 (1% decrease)
2009: $100 (10% decrease)

Then the outcome would be that a 10% decrease was caused in the year after the tax increase, overall prices were lower, but there was still a 10% decrease, so there must have been something else to blame.

Assumption D is absolutely mathematically necessary.


B is wrong as the logic is analogous to saying "X is correlated to Y because X caused Y". The conclusion, that cigarette sales are strongly correlated to tax increases, is based on analysis of the relationship between TWO consecutive tax increases and demand. We need the second data point, not the first year's tax increase in isolation.

E is incorrect as it may not be 100% true. Prices may be put up for various reasons aside from tax. Conversely, what if cigarette vendors ate the tax increase cost? I.e. what if they didn't pass this cost onto consumers.
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