It is currently 18 Oct 2017, 08:35

Live Now:

GMAT Verbal Live on YouTube: Join Now!


Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

On a certain transatlantic crossing, 20 percent of a ship's

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41885

Kudos [?]: 128724 [0], given: 12182

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

Show Tags

New post 09 Mar 2014, 15:17
Expert's post
31
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (02:00) correct 29% (02:12) wrong based on 664 sessions

HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

Problem Solving
Question: 146
Category: Arithmetic Percents
Page: 81
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128724 [0], given: 12182

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41885

Kudos [?]: 128724 [0], given: 12182

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

Show Tags

New post 09 Mar 2014, 15:17
Expert's post
4
This post was
BOOKMARKED
SOLUTION

On a certain transatlantic crossing, 20 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard 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 \(0.4x=20\) --> \(x=50\).

Answer: C.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128724 [0], given: 12182

Intern
Intern
User avatar
Affiliations: CA, SAP FICO
Joined: 22 Nov 2012
Posts: 33

Kudos [?]: 12 [0], given: 51

Location: India
Concentration: Finance, Sustainability
Schools: Mannheim"18
GMAT 1: 620 Q42 V33
GMAT 2: 720 Q47 V41
GPA: 3.2
WE: Corporate Finance (Energy and Utilities)
Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]

Show Tags

New post 09 Mar 2014, 18:18
Assume total passengers = 100,

So people with round ticket and having cars = 20

These 20 people = 40% of total round ticket holders. So total round ticket holders = 60
% of Round Ticket holders = 60/100 = 60%

Kudos [?]: 12 [0], given: 51

2 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1853

Kudos [?]: 2617 [2], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]

Show Tags

New post 09 Mar 2014, 19:59
2
This post received
KUDOS
Answer = (C) 50%

Lets say total passengers = 100

Passengers with round ticket & cars = 20

If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship which means 40% with round trip tickets took cars

40x/100 = 20

x = 50

Answer = 50%
Attachments

tik.jpg
tik.jpg [ 23.4 KiB | Viewed 5951 times ]


_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2617 [2], given: 193

2 KUDOS received
Manager
Manager
avatar
Joined: 01 May 2013
Posts: 62

Kudos [?]: 27 [2], given: 8

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

Show Tags

New post 09 Mar 2014, 20:14
2
This post received
KUDOS
20% of the passengers were RT passengers with cars aboard. 60% of RT passengers did not bring cars. Thus, 20% of all passengers corresponds to 40% of RT passengers.

r = RT
t = total

2r/5 = t/5

r = 5t/10

= t/2

= 50%

OR 40% = 2(20%). 10% of all passengers are 20% of RT, so 100% of RT are 50% of passengers.

Kudos [?]: 27 [2], given: 8

1 KUDOS received
Moderator
Moderator
User avatar
Joined: 20 Dec 2013
Posts: 185

Kudos [?]: 74 [1], given: 71

Location: United States (NY)
GMAT 1: 640 Q44 V34
GMAT 2: 710 Q48 V40
GMAT 3: 720 Q49 V40
GPA: 3.16
WE: Consulting (Venture Capital)
GMAT ToolKit User Premium Member Reviews Badge
Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]

Show Tags

New post 09 Mar 2014, 21:09
1
This post received
KUDOS
Total Passengers = 100
Both RT and Cars = 20

RT*(1-.6) = 20
RT = 50
RT/Passengers = 50/100

C
_________________

MY GMAT BLOG - ADVICE - OPINIONS - ANALYSIS

Kudos [?]: 74 [1], given: 71

Current Student
User avatar
Joined: 25 Sep 2012
Posts: 287

Kudos [?]: 173 [0], given: 242

Location: India
Concentration: Strategy, Marketing
GMAT 1: 660 Q49 V31
GMAT 2: 680 Q48 V34
GMAT ToolKit User Reviews Badge
Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]

Show Tags

New post 09 Mar 2014, 21:37
As there are only percents involve here and no numbers, we can assume some comfortable numbers.

Total = 100
Passenger with round trip+ cars = 20% of Total = 20
Passenger with round trip+no car = 60% of round trip

Hence,
20 = 100% of round trip - 60% of round trip = 40% of round trip
Therefore,
roundtrip = 50
which is 50% of Total

Answer C
Difficulty level 650 (It took me complete 2 mins which I think makes this problem lengthy)
Time Taken 2:00

Kudos [?]: 173 [0], given: 242

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 20 Dec 2013
Posts: 267

Kudos [?]: 106 [1], given: 29

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

Show Tags

New post 10 Mar 2014, 00:28
1
This post received
KUDOS
Option C.
If 60% of passengers with round-trip do not have cars,40% of passengers with round-trip tickets will have their cars on board.
40% of total=20
=50

Kudos [?]: 106 [1], given: 29

1 KUDOS received
Director
Director
User avatar
Joined: 10 Mar 2013
Posts: 593

Kudos [?]: 460 [1], given: 200

Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
GMAT ToolKit User
On a certain transatlantic crossing, 20 percent of a ship's [#permalink]

Show Tags

New post 15 Jun 2015, 11:07
1
This post received
KUDOS
1
This post was
BOOKMARKED
We can solve this problem using Double matrix. Unknown NUmber is here the number of pasengers with round trip tickets - let it be X, then 60% of X = 0,6X
Let the Total be 100, then people with Round Trip Tickets and Cars = 20% of 100 = 20

See the attached screenshot and then solve.

20 + 0,6X = X
X = 50
Attachments

Temp.JPG
Temp.JPG [ 12.22 KiB | Viewed 3967 times ]


_________________

When you’re up, your friends know who you are. When you’re down, you know who your friends are.

Share some Kudos, if my posts help you. Thank you !

800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50
GMAT PREP 670
MGMAT CAT 630
KAPLAN CAT 660

Kudos [?]: 460 [1], given: 200

Director
Director
User avatar
Joined: 18 Oct 2014
Posts: 906

Kudos [?]: 411 [0], given: 69

Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
On a certain transatlantic crossing, 20 percent of a ship's [#permalink]

Show Tags

New post 05 Jun 2016, 13:59
pepo wrote:
On a certain boat, 20 % of the passengers have round-trip tickets and are trasporting cars. if 60% of the passengers who have round-trip tickets are not transporting cars, what percent of all the passengers have round-trip ticketsOn a certain boat, 20 % of the passengers have round-trip tickets and are trasporting cars. if 60% of the passengers who have round-trip tickets are not transporting cars, what percent of all the passengers have round-trip tickets?

A 40%
B 50%
C 60%
D 70%
E 80%


Let's suppose total customers are 100 and customers who have round-trip tickets are r


if 60% of the passengers who have round-trip tickets are not transporting cars or 40% who have round trips are transporting cars.

i.e. .6r are not transporting cars and .4r are transporting cars.

Its given that 20 % of the passengers have round-trip tickets and are transporting cars (20 out of 100)

.4r=20
r=50%

C is the answer
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Kudos [?]: 411 [0], given: 69

Intern
Intern
avatar
Joined: 23 Apr 2016
Posts: 22

Kudos [?]: 9 [0], given: 39

Location: Finland
Concentration: General Management, International Business
GPA: 3.65
Premium Member
Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]

Show Tags

New post 10 Aug 2016, 12:37
I have a slight difficulty in understanding the question:
1.On a certain transatlantic crossing, 20 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship.
2.If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?

>> So 2nd statement means that 40% have Round trip ticket and also took car.

But in the first sentence it said that percentage of such people who have round trip ticket and brought their cars is 20% ?

How did you guys understand this question ?

Kudos [?]: 9 [0], given: 39

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16709

Kudos [?]: 273 [0], given: 0

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

Show Tags

New post 21 Aug 2017, 05:19
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 273 [0], given: 0

Re: On a certain transatlantic crossing, 20 percent of a ship's   [#permalink] 21 Aug 2017, 05:19
Display posts from previous: Sort by

On a certain transatlantic crossing, 20 percent of a ship's

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.