Last visit was: 23 Apr 2026, 04:05 It is currently 23 Apr 2026, 04:05
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,774
Own Kudos:
810,744
 [23]
Given Kudos: 105,853
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,774
Kudos: 810,744
 [23]
At a car dealership, 10% of all cars are red and have heated seats, an 11 Mar 2020, 04:12
1
Kudos
Add Kudos
22
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

80% (02:29) correct 20% (02:56) wrong based on 422 sessions

History

Date
Time
Result
Not Attempted Yet
At a car dealership, 10% of all cars are red and have heated seats, and 75% of cars without heated seats are red. If 40% of all of the cars are red, what percent of the cars have heated seats?

(A) 25%
(B) 40%
(C) 60%
(D) 75%
(E) 85%
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,733
Own Kudos:
36,448
 [6]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,733
Kudos: 36,448
 [6]
At a car dealership, 10% of all cars are red and have heated seats, an Updated on: 18 Feb 2022, 08:35
Originally posted by BrentGMATPrepNow on 22 Mar 2020, 09:47.
Last edited by BrentGMATPrepNow on 18 Feb 2022, 08:35, edited 1 time in total.
5
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
At a car dealership, 10% of all cars are red and have heated seats, and 75% of cars without heated seats are red. If 40% of all of the cars are red, what percent of the cars have heated seats?

(A) 25%
(B) 40%
(C) 60%
(D) 75%
(E) 85%
Show more

Time for the Double Matrix Method!
This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions)..

Here, we have a population of cars, and the two characteristics are:
- red or not red
- heated seats or no heated seats

From the given information we can set up our diagram as follows:

Notice that we had to assign a variable (x) to the total number of cars with unheated seats

Since of the two boxes in the top row must add to 40, we can write: 10 + 0.75x = 40
When we solve this equation we get x = 40

If 40 of the 100 cars DON'T have heated seats, then the remaining 60 cars must have heated seats:


Answer: C

This question type is VERY COMMON on the GMAT, so be sure to master the technique.

To learn more about the Double Matrix Method, watch this video:

EXTRA PRACTICE QUESTION

More questions to practice with:
EASY: https://gmatclub.com/forum/of-the-120-p ... 15386.html
MEDIUM: https://gmatclub.com/forum/in-a-certain ... 21716.html
HARD: https://gmatclub.com/forum/a-group-of-2 ... 24888.html
KILLER: https://gmatclub.com/forum/a-certain-hi ... 32899.html
General Discussion
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 23 Apr 2026
Posts: 6,976
Own Kudos:
16,905
 [1]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,976
Kudos: 16,905
 [1]
At a car dealership, 10% of all cars are red and have heated seats, an 11 Mar 2020, 06:38
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
At a car dealership, 10% of all cars are red and have heated seats, and 75% of cars without heated seats are red. If 40% of all of the cars are red, what percent of the cars have heated seats?

(A) 25%
(B) 40%
(C) 60%
(D) 75%
(E) 85%
Show more

Red only (a) + Heated Seat only (b) + Red with Heated Seat (c) + None (d) = 100%

c = 10

(75/100)*(a+d) = a
I.e. a = 3d

Also, a+c = 40
I.e. a = 40-10 = 30

I.e. 3d = 30
I.e. d = 10


I.e. b = 100 - (10+30+10) = 50

I.e. Heated seat cars = b+c = 50+10 = 60

Answer: Option C
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 23 Apr 2026
Posts: 8,628
Own Kudos:
5,190
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,628
Kudos: 5,190
At a car dealership, 10% of all cars are red and have heated seats, an 11 Mar 2020, 08:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
At a car dealership, 10% of all cars are red and have heated seats, and 75% of cars without heated seats are red. If 40% of all of the cars are red, what percent of the cars have heated seats?

(A) 25%
(B) 40%
(C) 60%
(D) 75%
(E) 85%
Show more

solve using 2x2 matrix

---Red---Not red---total
Heat--10---50------60
NH---.75x--10----x;40
total--40----60----100
.75x+10=40
x=40
so heated seats ; 60%
IMO C
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 22 Apr 2026
Posts: 22,278
Own Kudos:
26,529
 [3]
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,278
Kudos: 26,529
 [3]
At a car dealership, 10% of all cars are red and have heated seats, an 14 Mar 2020, 10:02
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Bunuel
At a car dealership, 10% of all cars are red and have heated seats, and 75% of cars without heated seats are red. If 40% of all of the cars are red, what percent of the cars have heated seats?

(A) 25%
(B) 40%
(C) 60%
(D) 75%
(E) 85%
Show more

If there are 100 cars, 40 are red and of the 40 red cars, 10 have heated seats. Thus, 30 red cars do not have heated seats, and these account for 75% of cars without heated seats. Therefore, the total number of cars without heated seats is 30 / 0.75 = 40, and thus 60 cars, or 60% of all the cars, have heated seats.

Answer: C
User avatar
Farina
User avatar
Joined: 21 Aug 2019
Last visit: 13 Oct 2020
Posts: 97
Own Kudos:
45
Given Kudos: 352
Posts: 97
Kudos: 45
At a car dealership, 10% of all cars are red and have heated seats, an 30 Mar 2020, 10:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Excellent video explanation, thanks

GMATPrepNow
Bunuel
At a car dealership, 10% of all cars are red and have heated seats, and 75% of cars without heated seats are red. If 40% of all of the cars are red, what percent of the cars have heated seats?

(A) 25%
(B) 40%
(C) 60%
(D) 75%
(E) 85%

Time for the Double Matrix Method!
This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions)..

Here, we have a population of cars, and the two characteristics are:
- red or not red
- heated seats or no heated seats

From the given information we can set up our diagram as follows:

Notice that we had to assign a variable (x) to the total number of cars with unheated seats

Since of the two boxes in the top row must add to 40, we can write: 10 + 0.75x = 40
When we solve this equation we get x = 40

If 40 of the 100 cars DON'T have heated seats, then the remaining 60 cars must have heated seats:


Answer: C

This question type is VERY COMMON on the GMAT, so be sure to master the technique.

To learn more about the Double Matrix Method, watch this video:


EXTRA PRACTICE QUESTION
Show more
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,956
Own Kudos:
1,117
Posts: 38,956
Kudos: 1,117
At a car dealership, 10% of all cars are red and have heated seats, an 20 Apr 2026, 08:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109774 posts
Krunaal
Tuck School Moderator
853 posts