Last visit was: 16 Jul 2024, 11:51 It is currently 16 Jul 2024, 11:51
Toolkit
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

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.

# If 60 percent of a rectangular floor is covered by a rectangular rug

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94370
Own Kudos [?]: 641385 [12]
Given Kudos: 85332
Manager
Joined: 25 Jun 2016
Posts: 58
Own Kudos [?]: 557 [6]
Given Kudos: 4
GMAT 1: 780 Q51 V46
General Discussion
Math Expert
Joined: 02 Sep 2009
Posts: 94370
Own Kudos [?]: 641385 [3]
Given Kudos: 85332
Manager
Joined: 21 Mar 2011
Status:GMATting
Posts: 96
Own Kudos [?]: 288 [4]
Given Kudos: 104
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
4
Kudos
Firstly, let us find the area of the rectangular rug: 9 * 12 = 108 sq.ft;
If 60% of floor = area of the rectangular rug,
(0.6 * x) = 108, where x is the area of the floor;
x = (108 * 100)/60
x = 180.

Ans is (C).
Manager
Joined: 01 Sep 2013
Status:suffer now and live forever as a champion!!!
Posts: 87
Own Kudos [?]: 315 [3]
Given Kudos: 74
Location: India
GPA: 3.5
WE:Information Technology (Computer Software)
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
2
Kudos
1
Bookmarks
12 *9 = 108;

108 --------------> 60%
??? --------------> 40%

therefore 40% ------ > 72.
108+72= 180 ;
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19147
Own Kudos [?]: 22646 [0]
Given Kudos: 286
Location: United States (CA)
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
Bunuel wrote:

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

(A) 65
(B) 108
(C) 180
(D) 270
(E) 300

We are given that 60 percent of a rectangular floor is covered by a 9-foot by 12-foot rug. Thus, the area of the rug is 9 x 12 = 108 square feet. To determine the area of the floor, we can create the following equation in which the total area of the floor is n:

0.6n = 108

6n = 1,080

n = 1,080/6 = 180 square feet

GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6804
Own Kudos [?]: 30817 [1]
Given Kudos: 799
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
1
Kudos
Top Contributor
Bunuel wrote:
If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

(A) 65
(B) 108
(C) 180
(D) 270
(E) 300

Area of rectangular RUG = (base)(height) = (9)(12) =108
This RUG covers 60% of the FLOOR
In other words, 108 = 60% of the area of the FLOOR
Or we can write: 108 = 0.6(area of FLOOR)

So, 108 /0.6 = area of FLOOR
Evaluate to get: 180 = area of FLOOR

Cheers,
Brent
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6804
Own Kudos [?]: 30817 [1]
Given Kudos: 799
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
1
Kudos
Top Contributor
PRO TIP :D

Once we know that So, 108 /0.6 = area of FLOOR, we can apply some number sense to avoid dividing 0.6 into 108

Notice that 108 /0.5 = 216
Since 0.6 is a bit bigger than 0.5, we know that 108 /0.6 will be a little bit less than 216
Check the answer choices...only answer choice C is a bit less than 216

ASIDE: This shortcut works, because the answer choices are nicely spread apart.

For more on this strategy, watch the following math tips video

Cheers,
Brent
Target Test Prep Representative
Joined: 04 Mar 2011
Affiliations: Target Test Prep
Posts: 3036
Own Kudos [?]: 6573 [1]
Given Kudos: 1646
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
1
Kudos
Bunuel wrote:
If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

(A) 65
(B) 108
(C) 180
(D) 270
(E) 300

Letting n = the area of the floor, we can create the following equation:

(9 x 12) = 0.6n

108 = 0.6n

180 = n

GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21835
Own Kudos [?]: 11783 [2]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
2
Kudos
Hi All,

With this question, we can use the answer choices 'against' the prompt and TEST THE ANSWERS. To start, we know that the area of the rug is...

(9 ft)(12 ft) = 108 ft^2

We're told that this value represents 60% of the area of the rug. Since we're asked to find the area of the rug, 108 is 60% of one of the answer choices.

Since 60% of 200 = 120, we're clearly looking for an answer that is LESS than200 (but not that much less).

Let's TEST Answer C: 180

(.6)(180) = 108

This is an exact match for what we were told, so this must be the answer.

GMAT assassins aren't born, they're made,
Rich
Intern
Joined: 05 Jun 2017
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 3
Concentration: Technology, Technology
GPA: 3.52
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
dheeraj24 wrote:
12 *9 = 108;

108 --------------> 60%
??? --------------> 40%

therefore 40% ------ > 72.
108+72= 180 ;

how did u get 72

Posted from my mobile device

Posted from my mobile device
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21835
Own Kudos [?]: 11783 [0]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
Hi crescendoboy,

You can use a ratio to determine the value of 40%. Since 60% = 108.....

40%/60% = X/108
4/6 = X/108
2/3 = X/108
3X = 216
X = 72

GMAT assassins aren't born, they're made,
Rich
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5291
Own Kudos [?]: 4200 [0]
Given Kudos: 160
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

(A) 65
(B) 108
(C) 180
(D) 270
(E) 300

Problem Solving
Question: 15
Category: Geometry; Arithmetic Area; Percents
Page: 63
Difficulty: 550

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!

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

.6x = 9*12
x = 9*12/.6 = 180

IMO C
Non-Human User
Joined: 09 Sep 2013
Posts: 33991
Own Kudos [?]: 851 [0]
Given Kudos: 0
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
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.
Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]
Moderator:
Math Expert
94370 posts