Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44627

On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
09 Mar 2014, 15:17
Question Stats:
76% (02:00) correct 24% (02:11) wrong based on 695 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionOn a certain transatlantic crossing, 20 percent of a ship's passengers held roundtrip tickets and also took their cars aboard the ship. If 60 percent of the passengers with roundtrip tickets did not take their cars aboard the ship, what percent of the ship's passengers held roundtrip 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 ProjectEach 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!
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Math Expert
Joined: 02 Sep 2009
Posts: 44627

Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
09 Mar 2014, 15:17
SOLUTIONOn a certain transatlantic crossing, 20 percent of a ship's passengers held roundtrip tickets and also took their cars aboard the ship. If 60 percent of the passengers with roundtrip tickets did not take their cars aboard the ship, what percent of the ship's passengers held roundtrip 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 roundtrip tickets AND cars. As 60% of the passengers with roundtrip tickets did not take their cars then 40% of the passengers with roundtrip tickets did take their cars, so # of passengers with roundtrip tickets AND cars is 40% of the passengers with roundtrip 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? Extrahard Quant Tests with Brilliant Analytics



Intern
Affiliations: CA, SAP FICO
Joined: 22 Nov 2012
Posts: 35
Location: India
Concentration: Finance, Sustainability
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
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%



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
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
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 roundtrip tickets did not take their cars aboard the ship which means 40% with round trip tickets took cars40x/100 = 20 x = 50 Answer = 50%
Attachments
tik.jpg [ 23.4 KiB  Viewed 7309 times ]
_________________
Kindly press "+1 Kudos" to appreciate



Manager
Joined: 01 May 2013
Posts: 61

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



Retired Moderator
Joined: 20 Dec 2013
Posts: 181
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)

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



Current Student
Joined: 25 Sep 2012
Posts: 276
Location: India
Concentration: Strategy, Marketing
GMAT 1: 660 Q49 V31 GMAT 2: 680 Q48 V34

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



Senior Manager
Joined: 20 Dec 2013
Posts: 254
Location: India

Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
10 Mar 2014, 00:28
1
This post received KUDOS
Option C. If 60% of passengers with roundtrip do not have cars,40% of passengers with roundtrip tickets will have their cars on board. 40% of total=20 =50



Director
Joined: 10 Mar 2013
Posts: 563
Location: Germany
Concentration: Finance, Entrepreneurship
GPA: 3.88
WE: Information Technology (Consulting)

On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
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 [ 12.22 KiB  Viewed 5320 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



Current Student
Joined: 18 Oct 2014
Posts: 886
Location: United States
GPA: 3.98

On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
05 Jun 2016, 13:59
pepo wrote: On a certain boat, 20 % of the passengers have roundtrip tickets and are trasporting cars. if 60% of the passengers who have roundtrip tickets are not transporting cars, what percent of all the passengers have roundtrip ticketsOn a certain boat, 20 % of the passengers have roundtrip tickets and are trasporting cars. if 60% of the passengers who have roundtrip tickets are not transporting cars, what percent of all the passengers have roundtrip tickets?
A 40% B 50% C 60% D 70% E 80% Let's suppose total customers are 100 and customers who have roundtrip tickets are r if 60% of the passengers who have roundtrip 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 roundtrip 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+



Intern
Joined: 23 Apr 2016
Posts: 22
Location: Finland
Concentration: General Management, International Business
GPA: 3.65

Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
10 Aug 2016, 12:37
1
This post received KUDOS
I have a slight difficulty in understanding the question: 1.On a certain transatlantic crossing, 20 percent of a ship's passengers held roundtrip tickets and also took their cars aboard the ship. 2.If 60 percent of the passengers with roundtrip tickets did not take their cars aboard the ship, what percent of the ship's passengers held roundtrip 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 ?



Senior Manager
Joined: 09 Mar 2016
Posts: 441

On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
04 Apr 2018, 04:55
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionOn a certain transatlantic crossing, 20 percent of a ship's passengers held roundtrip tickets and also took their cars aboard the ship. If 60 percent of the passengers with roundtrip tickets did not take their cars aboard the ship, what percent of the ship's passengers held roundtrip 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 ProjectEach 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! generis, pushpitkc, do you guys have any tips for overlapping sets ? i need some methodologic approach to solve these type of questions i dont understand whats wrong with my solution the only thing I would change in my diagram x20 into 20x
Attachments
overlapping sets .jpg [ 103.46 KiB  Viewed 434 times ]



BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2436
Location: India
GPA: 3.12

On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
04 Apr 2018, 06:55
1
This post received KUDOS
dave13 wrote: Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionOn a certain transatlantic crossing, 20 percent of a ship's passengers held roundtrip tickets and also took their cars aboard the ship. If 60 percent of the passengers with roundtrip tickets did not take their cars aboard the ship, what percent of the ship's passengers held roundtrip 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 ProjectEach 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! generis, pushpitkc, do you guys have any tips for overlapping sets ? i need some methodologic approach to solve these type of questions i dont understand whats wrong with my solution the only thing I would change in my diagram x20 into 20x Hi dave13Let the ship's passengers who hold roundtrip tickets be x P(Hold roundtrip tickets) = x We are told that 60% of this number did not take their cars P(Only hold roundtrip tickets) = 0.6x Also, P(Both) = 20%. If total number of people is 100, P(Both) = 20 P(Hold roundtrip ticket) = P(Only hold roundtrip tickets) + P(Both)
\(x = 0.6x + 20\) > \(x  0.6x = 20\) > \(0.4x = 20\) > \(x = \frac{20}{0.4} = 50\) Therefore, the percentage of ship's passengers who hold round trip tickets is \(\frac{50}{100} = 50\)% (Option C) Hope this helps you.
_________________
Stay hungry, Stay foolish
20172018 MBA Deadlines
Class of 2020: Rotman Thread  Schulich Thread Class of 2019: Sauder Thread



Senior Manager
Joined: 09 Mar 2016
Posts: 441

Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
04 Apr 2018, 12:29
pushpitkc wrote: dave13 wrote: Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionOn a certain transatlantic crossing, 20 percent of a ship's passengers held roundtrip tickets and also took their cars aboard the ship. If 60 percent of the passengers with roundtrip tickets did not take their cars aboard the ship, what percent of the ship's passengers held roundtrip 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 ProjectEach 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! generis, pushpitkc, do you guys have any tips for overlapping sets ? i need some methodologic approach to solve these type of questions i dont understand whats wrong with my solution the only thing I would change in my diagram x20 into 20x Hi dave13Let the ship's passengers who hold roundtrip tickets be x P(Hold roundtrip tickets) = x We are told that 60% of this number did not take their cars P(Only hold roundtrip tickets) = 0.6x Also, P(Both) = 20%. If total number of people is 100, P(Both) = 20 P(Hold roundtrip ticket) = P(Only hold roundtrip tickets) + P(Both)
\(x = 0.6x + 20\) > \(x  0.6x = 20\) > \(0.4x = 20\) > \(x = \frac{20}{0.4} = 50\) Therefore, the percentage of ship's passengers who hold round trip tickets is \(\frac{50}{100} = 50\)% (Option C) Hope this helps you. hi pushpitkc, thanks! here \(x = 0.6x + 20\) why do you denote 20 as number and not percent ? 60 and 20 are both percentages ? do you mind correcting my diagram so as i can see visually what i did wrong ?



BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2436
Location: India
GPA: 3.12

Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
04 Apr 2018, 23:35
1
This post received KUDOS
1
This post was BOOKMARKED
dave13 wrote: hi pushpitkc, thanks! here \(x = 0.6x + 20\) why do you denote 20 as number and not percent ? 60 and 20 are both percentages ? do you mind correcting my diagram so as i can see visually what i did wrong ? Hey dave13Please find the corrected diagram Attachment:
Diagram.png [ 4.61 KiB  Viewed 287 times ]
Here, we are assuming the total number of passengers to be 100. However, we have no clarity about the total number of passengers with roundtrip tickets(which we are assuming to be x) 60% of the passengers who hold roundtrip tickets do not take their cars. Therefore, the total number of passengers who only have roundtrip tickets are 60% of x or \(\frac{60}{100}*x = 0.6x\) In the diagram, it is clear why P(Hold roundtrip ticket) = P(Only hold roundtrip tickets) + P(Both) So, we arrive at the equation x=0.6x+20 Hope that it's clear now!
_________________
Stay hungry, Stay foolish
20172018 MBA Deadlines
Class of 2020: Rotman Thread  Schulich Thread Class of 2019: Sauder Thread



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2273

Re: On a certain transatlantic crossing, 20 percent of a ship's [#permalink]
Show Tags
06 Apr 2018, 08:46
Bunuel wrote: On a certain transatlantic crossing, 20 percent of a ship's passengers held roundtrip tickets and also took their cars aboard the ship. If 60 percent of the passengers with roundtrip tickets did not take their cars aboard the ship, what percent of the ship's passengers held roundtrip tickets?
(A) 33 1/3% (B) 40% (C) 50% (D) 60% (E) 66 2/3%
We can let the number of passengers = 100. Thus, 20 passengers held round trip tickets and took their cars aboard the ship. Since we are given that 60 percent of the passengers with roundtrip tickets did not take their cars aboard the ship, the 20 passengers who held round trip tickets and took their cars aboard the ship represent 40 percent of the passengers with roundtrip tickets. If n = the number of passengers with roundtrip tickets, we have: 20 = 0.4n n = 20/0.4 = 200/4 = 50 Thus, 50/100 = 50% of the ship’s passengers held roundtrip tickets. Answer: C
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions




Re: On a certain transatlantic crossing, 20 percent of a ship's
[#permalink]
06 Apr 2018, 08:46






