Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

On a certain transatlantic crossing, 20 percent of a ship’s [#permalink]

Show Tags

23 Nov 2010, 12:38

2

This post received KUDOS

5

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

72% (02:40) correct
28% (02:00) wrong based on 366 sessions

HideShow timer Statistics

On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?

On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?

a 33 1/3 % b 40% c 50% d 60% e 66 2/3%

Let the total # of passengers be 100.

Now, 20 passengers held round-trip tickets AND cars.

As 60% of the passengers with round-trip tickets did not take their cars then 40% of the passengers with round-trip tickets did take their cars, so # of passengers with round-trip tickets AND cars is 40% of the passengers with round-trip tickets.

If we take # of the passengers with round trip tickets to be \(x\) then we'll have \(0.4x=20\) --> \(x=50\).

Let round ticket = x so, 0.60x+0.20 = x x = 50% Ans. C

Please help if i am not correct.

If the thought process was that x is the fraction of total passengers who have the round ticket and total passengers = 1 (theoretically since we need percentages), then the logic is sound.

Otherwise, note that 0.20 on its own doesn't mean anything. It needs to be 0.20p where p is the total number of passengers. 0.60x + 0.20p = x x/p = .50 = 50%

or you can say that since 60% people with round trip ticket did not take their car, 40% people with round trip ticket did take their car. 40% people with round trip ticket = 20% total people So people with round trip ticket are 1/2 (i.e.50%) of total people. _________________

Re: On a certain transatlantic crossing, 20 percent of a ship’s [#permalink]

Show Tags

02 Jan 2012, 13:13

Fairly easy question this. Easy to get to 50%, the correct answer. 60% of the people who have not taken the car also gives us 40% of the people who have taken the car (people with round trip tickets btw). From there, it is easy to get to 50%. _________________

Re: On a certain transatlantic crossing, 20 percent of a ship’s [#permalink]

Show Tags

09 Jan 2012, 15:15

You can use a table approach as recommended by MGMAT.

-----R---nR---Total C---20------------- nC--0.6x----------- Total x---------100

We get, 0.4x = 20 -> x = 50% _________________

I am the master of my fate. I am the captain of my soul. Please consider giving +1 Kudos if deserved!

DS - If negative answer only, still sufficient. No need to find exact solution. PS - Always look at the answers first CR - Read the question stem first, hunt for conclusion SC - Meaning first, Grammar second RC - Mentally connect paragraphs as you proceed. Short = 2min, Long = 3-4 min

Re: On a certain transatlantic crossing, 20 percent of a ship’s [#permalink]

Show Tags

01 May 2013, 03:37

Another method?

Take the total number of passengers to be 100. therefore those with both round trip tickets and cars is 20, leaving 80 passengers with either round trip ticket only and cars only (the question is silent on the number of passengers who have neither round trip tickets nor cars, so assuming that to be zero). let number of passengers with round trip tickets be - x therefore number of passengers with cars is - 0.6x hence 80= x + 0.6x x=50%

Re: On a certain transatlantic crossing, 20 percent of a ship’s [#permalink]

Show Tags

25 May 2013, 12:20

can anyone please clarify this through a Venn diagram. I understand that this is a percent of a percent problem. I just need to picture it. Thanks _________________

Re: On a certain transatlantic crossing, 20 percent of a ship’s [#permalink]

Show Tags

27 May 2013, 07:24

i might sound a little silly with my query but if one looks at the question and tries to translate it seems some what like this:

1)20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship which means that 20% held roundtrip tickets and took their cars aboard the ship 2) 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship which means that another 60% held round trip tickets but didn't take their cars abroad. so aren't they like 2 different groups i dunno but i am so confused.

i might sound a little silly with my query but if one looks at the question and tries to translate it seems some what like this:

1)20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship which means that 20% held roundtrip tickets and took their cars aboard the ship 2) 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship which means that another 60% held round trip tickets but didn't take their cars abroad. so aren't they like 2 different groups i dunno but i am so confused.

Read the stem carefully: "60 percent of the passengers with round-trip tickets did not take their cars abroad the ship..." So, 60% of some particular group did not take their cars abroad the ship. _________________

Re: On a certain transatlantic crossing, 20 percent of a ship’s [#permalink]

Show Tags

27 Sep 2013, 11:07

Let total no of passengers be T Let the no of passengers with round trip tickets be X

Given: 20% of total passengers have round trip tickets and took their cars aboard = 0.2*T

60% of passengers with round trip tickets did not take their cars => 40% of passengers with round trip tickets took their cars => 0.4*X=0.2*T => X=1/2*T => X=50% of T

Re: On a certain transatlantic crossing, 20 percent of a ship’s [#permalink]

Show Tags

31 Jul 2014, 01:41

azule45 wrote:

On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?

A. 33 1/3 % B. 40% C. 50% D. 60% E. 66 2/3%

a = total passenger b = passenger owning R ticket ( including car (C) and no car (NC))

passenger owning R ticket and C = 20%*a passenger owning R ticket and NC = 60%*b

so, b = 20%a + 60%b -> 40%b = 20%a -> b/a = 1/2 -> b = 50% _________________

......................................................................... +1 Kudos please, if you like my post

Re: On a certain transatlantic crossing, 20 percent of a ship’s [#permalink]

Show Tags

09 Aug 2015, 04:41

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Check out this awesome article about Anderson on Poets Quants, http://poetsandquants.com/2015/01/02/uclas-anderson-school-morphs-into-a-friendly-tech-hub/ . Anderson is a great place! Sorry for the lack of updates recently. I...

As you leave central, bustling Tokyo and head Southwest the scenery gradually changes from urban to farmland. You go through a tunnel and on the other side all semblance...

Ghibli studio’s Princess Mononoke was my first exposure to Japan. I saw it at a sleepover with a neighborhood friend after playing some video games and I was...