GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Apr 2019, 07:50

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

If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54434
If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

Show Tags

New post 15 Feb 2017, 03:37
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

87% (01:38) correct 13% (01:46) wrong based on 77 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
User avatar
G
Joined: 19 Apr 2016
Posts: 274
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

Show Tags

New post 15 Feb 2017, 03:42
1
Bunuel wrote:
If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?

A. 35/24
B. 35/12
C. 12
D. 17.5
E. 52.5



60x/100=87.5y/100
60x = 87.5y
12x/y = 87.5/5 =17.5

Hence Option D is correct
Hit Kudos if you liked it 8-)
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13958
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

Show Tags

New post 16 Feb 2017, 14:06
Hi All,

Certain Quant questions can me made easier to deal with if you 'convert' the given information from one format to another. In this case, we can rewrite the two percentages as fractions...

60% = 3/5
87.5% = 7/8

The given information can then be used to create the following equation:

(3/5)(X) = (7/8)(Y)

We're asked for the value of 12X/Y...

We can manipulate the above equation to get a value for X/Y...

(3/5)(X) = (7/8)(Y)

X/Y = (7/8)/(3/5)

X/Y = (7/8)(5/3) = 35/24

The question asks for the value of 12X/Y, so we just have to multiply the above fraction by 12 and simplify...

12X/Y = (12)(35/24) = 35/2 = 17.5

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Manager
Manager
avatar
S
Joined: 03 Jan 2017
Posts: 145
Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

Show Tags

New post 11 Mar 2017, 14:37
6/10 of x=7/8 of y
y = 6*8/10*7
12*x/y=12*x*70/42=17,5
Director
Director
avatar
S
Joined: 12 Nov 2016
Posts: 725
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

Show Tags

New post 06 Jun 2017, 22:25
EMPOWERgmatRichC wrote:
Hi All,

Certain Quant questions can me made easier to deal with if you 'convert' the given information from one format to another. In this case, we can rewrite the two percentages as fractions...

60% = 3/5
87.5% = 7/8

The given information can then be used to create the following equation:

(3/5)(X) = (7/8)(Y)

We're asked for the value of 12X/Y...

We can manipulate the above equation to get a value for X/Y...

(3/5)(X) = (7/8)(Y)

X/Y = (7/8)/(3/5)

X/Y = (7/8)(5/3) = 35/24

The question asks for the value of 12X/Y, so we just have to multiply the above fraction by 12 and simplify...

12X/Y = (12)(35/24) = 35/2 = 17.5

Final Answer:

GMAT assassins aren't born, they're made,
Rich



EMPOWERgmatRichC how did you convert 87.5 into a fraction?
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13958
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

Show Tags

New post 07 Jun 2017, 20:02
Hi Nunuboy1994,

On a few questions in the Quant section on Test Day, knowing the common fraction-to-decimal conversions (1/2, 1/3, 1/4.... 1/11) will save you some significant time. With that information, you should be able to perform faster calculations on similar fractions (or not have to do the calculations at all if you already know the result).

For example:
1/5 = 20% = .2

so 3/5 = 3(20%) = 60% = 3(.2) = .6

If you know that 1/8 = 12.5% = .125, then you should be able to recognize that...

1 - 12.5% =
1 - 1/8 =
7/8 = 87.5%

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

Show Tags

New post 08 Jun 2017, 00:35
We need to know that 60% is \(\frac{3}{5}\) and 87.5% is \(\frac{7}{8}\).

Hence from the question stem, we can deduce that

\(\frac{3x}{5}\) = \(\frac{7y}{8}\)
x = \(\frac{35y}{24}\)

Now, in order to get the expression, \(\frac{12x}{y}\) , we can substitute this value of x :
\(12*\frac{x}{y} = \frac{(12*35)}{(24*y)}*y = \frac{35}{2}\) = 17.5(Option B)

P.S it is helpful to know, by heart the commonly used percent - fraction conversations
_________________
You've got what it takes, but it will take everything you've got
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2825
Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

Show Tags

New post 10 Jun 2017, 07:34
Bunuel wrote:
If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?

A. 35/24
B. 35/12
C. 12
D. 17.5
E. 52.5


Since 60% = 3/5 and 87.5% = 7/8, we can create the following equation:

(3/5)x = (7/8)y

3x/5 = 7y/8

24x = 35y

12x = 17.5y

12x/y = 17.5

Answer: D
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 10587
Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

Show Tags

New post 20 Mar 2019, 13:33
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 Club Bot
Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?   [#permalink] 20 Mar 2019, 13:33
Display posts from previous: Sort by

If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.