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The table above shows the cancellation fee schedule that a travel agen

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The table above shows the cancellation fee schedule that a travel agency uses to determine the fee charged to a tourist who cancels a trip prior to departure. If a tourist canceled a trip with a package price of $1,700 and a departure date of September 4, on what day was the trip canceled?

(1) The cancellation fee was $595.
(2) If the trip had been canceled one day later, the cancellation fee would have been $255 more.

Data Sufficiency
Question: 93
Category: Arithmetic Percents
Page: 159
Difficulty: 650


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Re: The table above shows the cancellation fee schedule that a travel agen  [#permalink]

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The table above shows the cancellation fee schedule that a travel agency uses to determine the fee charged to a tourist who cancels a trip prior to departure. If a tourist canceled a trip with a package price of $1,700 and a departure date of September 4, on what day was the trip canceled?

(1) The cancellation fee was $595 --> cancellation fee is 595/1700=35% of a package price, so the trip was canceled from 31 to 45 days prior to 4th of September. Not sufficient.

(2) If the trip had been canceled one day later, the cancellation fee would have been $255 more --> $255 is 15% of of a package price, so the trip was canceled either 31 or 16 days prior to 4th of September (15% change is from 35% to 50% and from 50% to 65%). Not sufficient.

(1)+(2) The trip was canceled 31 days prior to 4th of September. Sufficient.

Answer: C.

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Re: The table above shows the cancellation fee schedule that a travel agen  [#permalink]

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New post 14 Feb 2014, 03:34
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St1: The cancellation fee was $595.

595 is 35% of 1700. We are in the 45-31 day window. It can be any day during that window. Not sufficient.

St2: If the trip had been canceled one day later, the cancellation fee would have been $255 more.

Not sufficient. We don't know $255 more than what?

St1 + St2: So, if the cancellation was 1 day later, total fee = 595 + 255 = 850 which is 50% of 1700. We are in the 30-16 day window. However, this is a "would have been" scenario which means the cancellation was exactly 30 days earlier than September 4. Sufficient.

Answer (C).
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Re: The table above shows the cancellation fee schedule that a travel agen  [#permalink]

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New post 07 Jun 2014, 14:26
Is there a quick way to derive that 595/1700 = 35% ?
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Re: The table above shows the cancellation fee schedule that a travel agen  [#permalink]

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New post 08 Jun 2014, 04:34
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Re: The table above shows the cancellation fee schedule that a travel agen  [#permalink]

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New post 11 Jul 2014, 23:44
Quote:
(2) If the trip had been canceled one day later, the cancellation fee would have been $255 more --> $255 is 15% of of a package price, so the trip was canceled either 31 or 16 days prior to 4th of September (15% change is from 35% to 50% and from 50% to 65%). Not sufficient.


would you please clear how 1 day later cancellation increases the fees. As per schedule, the more days prior to cancellation, the less fees is charged.
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Re: The table above shows the cancellation fee schedule that a travel agen  [#permalink]

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New post 12 Jul 2014, 03:58
musunna wrote:
Quote:
(2) If the trip had been canceled one day later, the cancellation fee would have been $255 more --> $255 is 15% of of a package price, so the trip was canceled either 31 or 16 days prior to 4th of September (15% change is from 35% to 50% and from 50% to 65%). Not sufficient.


would you please clear how 1 day later cancellation increases the fees. As per schedule, the more days prior to cancellation, the less fees is charged.


Closer to departure date more fee on cancellation. So, later cancellation date = more fee.
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Re: The table above shows the cancellation fee schedule that a travel agen  [#permalink]

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New post 10 Apr 2015, 18:51
Bunuel, pls explain point number 2. How you are coming to 15% and how you are selecting 31st or 16th day.

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Re: The table above shows the cancellation fee schedule that a travel agen  [#permalink]

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New post 11 Apr 2015, 08:09
lipsi18 wrote:
Bunuel, pls explain point number 2. How you are coming to 15% and how you are selecting 31st or 16th day.

Thanks,


$255 is 15% of of a package price. So, 1 day later cancellation increases the fee by 15%.

15% difference is from 31st to 30th day and from 16th to 15th day, so the trip was canceled either 31 or 16 days prior to 4th of September
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Re: The table above shows the cancellation fee schedule that a travel agen  [#permalink]

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New post 11 Apr 2015, 16:20
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Hi All,

It looks like everyone's correctly solved this problem, so I won't rehash any of that work here. Instead, I want to point out a traditional 'shortcut' that tends to be built into these types of Chart/Graph/Table questions in the Quant section....

Whenever these types of questions show up, you should expect to spend a bit more time (than normal) to deal with it, since you have to process the information in the table. However, the designers can't give you a question that is too lengthy or complex because then you'd never have the time to properly answer it and get through the rest of the section. As such, there is almost certain to be a built-in pattern in the data. Your ability to quickly find that pattern will make solving the problem relatively easier.

Here, the pattern is in the differences between each consecutive level in the table...

From 10% to 35%, the fee difference is 25%
From 35% to 50%, the fee difference is 15%
From 50% to 65%, the fee difference is 15%
From 65% to 100%, the fee difference is 35%

Notice how there are TWO points at which the difference is exactly 15%. That is NOT a coincidence. Consider the rest of the work that goes into solving this problem and how much of that work you can actually AVOID once you recognize this pattern. That shortcut was put there by the writer(s) to save you some time.

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Re: The table above shows the cancellation fee schedule that a  [#permalink]

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New post 18 Nov 2016, 08:10
ezinis wrote:
Cancellation Fees
Days Prior to DeparturePercent of Package Price
46 or more10%
45 - 3135%
30 - 1650%
15 - 565%
4 or fewer100%

The table above shows the cancellation fee schedule that a travel agency uses to determine the fee charged to a tourist who cancels a trip prior to departure. If a tourist canceled a trip with a package price of $1,700 and a departure date of September 4, on what day was the trip canceled?

(1) The cancellation fee was $595
(2) If the trip had been canceled one day later, the cancellation fee would have been $255 more


The table above shows the cancellation fee schedule that a travel agency uses to determine the fee charged to a tourist who cancels a trip prior to departure. If a tourist canceled a trip with a package price of $1,700 and a departure date of September 4, on what day was the trip canceled?

(1) The cancellation fee was $595.
(2) If the trip had been canceled one day later, the cancellation fee would have been $255 more.

We are given a tourist canceled a trip with a package price of $1,700 and a departure date of September 4, and we need to determine the day on which the trip was canceled.

Statement One Alone:

The cancellation fee was $595.

Since we know the total price of the trip as well as the cancellation fee, we can determine the range of days prior to departure in which the trip was canceled.

(595/1700) x 100 = 35%

Thus, the trip was canceled between 31 and 45 days (inclusive) before September 4. However, we cannot determine the exact date of the cancellation. Statement one alone is not sufficient. We can eliminate answer choices A and D.

Statement Two Alone:

If the trip had been canceled one day later, the cancellation fee would have been $255 more.

In the provided table, we are given the following:

Cancellation Fees
Days Prior to DeparturePercent of Package Price
46 or more10%
45 - 3135%
30 - 1650%
15 - 565%
4 or fewer100%


We note that the customer may be subject to a penalty of 10%, 35%, 50%, 65%, or 100% of the cost of the trip ($1,700), and therefore the customer may pay $170, $595, $850, $1105, or $1700 depending on how many days prior to the trip the cancellation is made.

If the customer cancels the trip one day later, and therefore must pay the cancellation fee of the next interval, then the fee may increase as follows:

595 - 170 = $425

850 - 595 = $255

1105 - 850 = $255

or

1700 - 1105 = $595

Since there are two possibilities that may cause in an increase of $255 (31 days and 16 days prior to the departure), we cannot determine the exact date on which the trip was cancelled.

Statement two alone is not sufficient to answer the question. Eliminate answer choice B.

Statements One and Two Together:

Using statements one and two, we know that the trip was canceled between 31 and 45 days (inclusive) before September 4 and that had the trip been canceled one day later, the fee would have been $255 more. From this information, we can determine that the trip was canceled 31 days before September 4, because had it been canceled 30 days before the trip, the fee would have been $1,700 x 0.5 = $850, which is $255 more than the fee of $595.

Since we know that the trip was canceled 31 days before the trip, we can determine the exact date on which it was canceled.

Answer: C
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