Last visit was: 03 Jan 2025, 06:03 It is currently 03 Jan 2025, 06:03
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

A certain boat sales lot sells both sailboats and boats that

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
huda
Director
Director
Joined: 22 Jun 2019
Posts: 521
Own Kudos [?]: 725 [14]
Given Kudos: 161
Send PM

Top Member of the Month
A certain boat sales lot sells both sailboats and boats that [#permalink] New post   08 Jan 2020, 14:50
1
13
Bookmarks
00:00

Question Stats:

40% (03:42) correct 59% (02:58) wrong based on 91 sessions

Hide Show timer Statistics

A certain boat sales lot sells both sailboats and boats that are not sailboats. 25% of the boats are used sailboats. Of non-sailboats, \(\frac{3}{5}\) are new. If 33% of all boats are used, approximately what percentage of the sailboats are new?

(A) 31%
(B) 33%
(C) 67%
(D) 68%
(E) 69%
ShowHide Answer
Official Answer
E
Most Helpful Community Reply
User avatar
G
BrushMyQuant
Moderator
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1126
Own Kudos [?]: 982 [6]
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Send PM
Re: A certain boat sales lot sells both sailboats and boats that [#permalink] New post   11 Jan 2020, 10:11
5
1
This question can be solved using overlapping sets 2x2 matrix. PFA The first image which talks about the things which are given in the question.
Now we are asked to find what percentage of the sailboats are new, which is nothing but \(\frac{Sailboats Which Are New }{ Total Sailboats}*100%\)
Now, see the second image attached. Let's calculate Used Non Sailboats. Using the Used column we will get number of used non-sailboats as 33-25 = 8
Using the Non-sailboat row we will get number of used non-sailboats as x = 3x/5 = 2x/5
=> 2x/5 = 8 => x = 20
So, Total Sailboats = 100-x = 100-20 = 80
New Sailboats = Total Sailboats - Used = 80 - 25 = 55
So, percentage of the sailboats are new = \(\frac{Sailboats Which Are New }{ Total Sailboats}\) = \(\frac{55 }{ 80}* 100%\) = 68.75% ~ 69%.
So, Answer will be E.
Hope it helps!
Attachments

File comment: Image-1
img1.jpg
img1.jpg [ 124.15 KiB | Viewed 6559 times ]

File comment: Image-2
img2.jpg
img2.jpg [ 136.43 KiB | Viewed 6533 times ]

General Discussion
avatar
RSQUANT
Manager
Manager
Joined: 27 Nov 2019
Posts: 78
Own Kudos [?]: 200 [2]
Given Kudos: 0
Send PM
Re: A certain boat sales lot sells both sailboats and boats that [#permalink] New post   14 Jan 2020, 03:00
2
huda wrote:
A certain boat sales lot sells both sailboats and boats that are not sailboats. 25% of the boats are used sailboats. Of non-sailboats, \(\frac{3}{5}\) are new. If 33% of all boats are used, approximately what percentage of the sailboats are new?

(A) 31%
(B) 33%
(C) 67%
(D) 68%
(E) 69%


Sorry to reply the answer in the form of an image but have to as it's a Venn diagram question. Please could the author check the answer as my answer is 67%. The 3/5th of Non sail boats information is not required.
Attachments

WhatsApp Image 2020-01-14 at 4.27.52 PM.jpeg
WhatsApp Image 2020-01-14 at 4.27.52 PM.jpeg [ 65.39 KiB | Viewed 6489 times ]

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30581
Own Kudos [?]: 36932 [0]
Given Kudos: 26116
Send PM
Re: A certain boat sales lot sells both sailboats and boats that [#permalink] New post   14 Jan 2020, 10:09
Expert Reply
Great guys for the explanations.

Thank you so much.

Regards
avatar
suchetadas
Intern
Intern
Joined: 20 Aug 2021
Posts: 3
Own Kudos [?]: 0 [0]
Given Kudos: 3
Send PM
Re: A certain boat sales lot sells both sailboats and boats that [#permalink] New post   17 Oct 2021, 00:42
RSQUANT wrote:
huda wrote:
A certain boat sales lot sells both sailboats and boats that are not sailboats. 25% of the boats are used sailboats. Of non-sailboats, \(\frac{3}{5}\) are new. If 33% of all boats are used, approximately what percentage of the sailboats are new?

(A) 31%
(B) 33%
(C) 67%
(D) 68%
(E) 69%


Sorry to reply the answer in the form of an image but have to as it's a Venn diagram question. Please could the author check the answer as my answer is 67%. The 3/5th of Non sail boats information is not required.


I am getting the same answer too.
avatar
B
NHoorani
Intern
Intern
Joined: 17 Oct 2022
Posts: 3
Own Kudos [?]: 2 [0]
Given Kudos: 3
Send PM
Re: A certain boat sales lot sells both sailboats and boats that [#permalink] New post   15 Dec 2022, 22:42
I also got 67% would be nice if the answer can be re-verified? Since 69% makes no sense.
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30581
Own Kudos [?]: 36932 [3]
Given Kudos: 26116
Send PM
Re: A certain boat sales lot sells both sailboats and boats that [#permalink] New post   15 Dec 2022, 23:29
3
Expert Reply
Let total boats = 100
Non-sail boats = y

We know, used sailboats = 25 (from qu.) and new non-sail boats = 3y/5
So, used NON-sailboats = 2y/5
Also, total used boats = 33
so, 25 + 2y/5 = 33
Or y = 20
so new non-sail boats = 12 (3y/5)
67% of all boats are new.
So new sail boats = 67-12 = 55
Total sail boats (used + non used ) = 55+25 = 80

%age of new sail boats = 55/80 * 100 ~~ 69% E
User avatar
S
adewale223
GRE Instructor
Joined: 06 Nov 2023
Posts: 88
Own Kudos [?]: 93 [1]
Given Kudos: 21
Send PM
Re: A certain boat sales lot sells both sailboats and boats that [#permalink] New post   19 Dec 2023, 15:46
1
Let total number of boats be b

So used sailboat = 0.25b

All used boats = 0.33b


New sailboat = a


Total new boat = 0.67b


used non sailboat = 0.08b

total non sailboat = y


number of nonsailboats that are new = 0.6y

Total number of sailboats = x


0.08b + 0.6y = y

0.08b= 0.4y

b=5y


Required percent

x-0.25b/x


4y-1.25y/4y

2.75y/4y x 100

68.75%

Approx 69%

Answer E

Adewale Fasipe, GRE/GMAT quant instructor from Nigeria

https://www.teacheron.com/tutor-profile/8tG7?r=8tG7
Prep Club for GRE Bot
gmatclubot
Re: A certain boat sales lot sells both sailboats and boats that [#permalink]
19 Dec 2023, 15:46
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1126 posts
VibhuAnurag
GRE Instructor
234 posts

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

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact