NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 19:03 It is currently 26 Apr 2024, 19:03
Decision Tracker
My Rewards
New posts
New comers' posts

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

x, y and z are positive. If x percent of y is z

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6818
Own Kudos [?]: 29942 [16]
Given Kudos: 799
Location: Canada
Send PM
x, y and z are positive. If x percent of y is z [#permalink] New post   28 Mar 2017, 06:48
2
Kudos
13
Bookmarks
Expert Reply
Top Contributor
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

67% (01:56) correct 33% (02:21) wrong based on 417 sessions
Hide Show timer Statistics
x, y and z are positive. If x percent of y is z, and z percent of x is y, then what is x² percent of 1/10?

A) 1/100
B) 1/10
C) 1
D) 10
E) 100

*Kudos for all correct solutions
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6818
Own Kudos [?]: 29942 [8]
Given Kudos: 799
Location: Canada
Send PM
Re: x, y and z are positive. If x percent of y is z [#permalink] New post   29 Mar 2017, 06:57
1
Kudos
7
Bookmarks
Expert Reply
Top Contributor
GMATPrepNow wrote:
x, y and z are positive. If x percent of y is z, and z percent of x is y, then what is x² percent of 1/10?

A) 1/100
B) 1/10
C) 1
D) 10
E) 100



Here's one approach:

x percent of y is z
So (x/100)(y) = z
Simplify: xy/100 = z

z percent of x is y
So (z/100)(x) = y
Simplify: xz/100 = y

Multiply the two equations to get: (xy/100)(xz/100) = (z)(y)
Simplify: x²yz/10,000 = yz
Divide both sides by yz to get: x²/10,000 = 1
This means x² = 10,000

What is x² percent of 1/10?
In other words, (x²/100)(1/10) = ?
Replace x² with 10,000 to get: (10,000/100)(1/10) = 10,000/1,000 = 10

Answer: D

RELATED VIDEOS



General Discussion
User avatar
B
Cez005
Manager
Manager
Joined: 13 Dec 2013
Posts: 102
Own Kudos [?]: 126 [2]
Given Kudos: 122
Location: United States (NY)
Concentration: General Management, International Business
Schools: Cambridge"19 (A)
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
GPA: 4
WE:Consulting (Consulting)
Send PM
Reviews Badge
Re: x, y and z are positive. If x percent of y is z [#permalink] New post   04 Apr 2017, 20:54
2
Kudos
Eqn.1: (yx/100)=z
Eqn.2: (xz/100)=y

Eqn. 2: (100y/x)=z

(yx/100)= (100y/x)
yx^2=10000y
x^2=10000

So 0.1*10000%=10

Kudos if you agree! If you have a better solution please comment.
User avatar
B
Andruida
Intern
Intern
Joined: 09 May 2018
Posts: 6
Own Kudos [?]: 7 [1]
Given Kudos: 1
Concentration: Finance, Technology
Send PM
GMAT ToolKit User
x, y and z are positive. If x percent of y is z [#permalink] New post   04 Jul 2018, 11:56
1
Kudos
the question is to compute

\(\frac{x^2}{100}*\frac{1}{10}\)

according to the question:

(i) \(\frac{x}{100}y=z\)

(ii)\(\frac{z}{100}x=y\)

from (i) and (ii):


\(\frac{\left(\frac{x}{100}y\right)}{100}x=y \implies \frac{x^2}{100} = 100\)

\(\therefore \frac{x^2}{100}*\frac{1}{10} = 100 * \frac{1}{10} = 10\)

Answer: D
User avatar
L
pushpitkc
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 2873
Own Kudos [?]: 5206 [0]
Given Kudos: 47
Location: India
GPA: 3.12
Send PM
Re: x, y and z are positive. If x percent of y is z [#permalink] New post   04 Jul 2018, 12:44
GMATPrepNow wrote:
x, y and z are positive. If x percent of y is z, and z percent of x is y, then what is x² percent of 1/10?

A) 1/100
B) 1/10
C) 1
D) 10
E) 100

*Kudos for all correct solutions


\(x\) percent of \(y\) is \(z\) translates to \(\frac{x}{100} * y = z\) -> \(xy = 100z\)

Similarly, \(z\) percent of \(x\) is \(y\). This translates to \(\frac{z}{100} * x = y\) -> \(xz = 100y\)

This is only possible when x=100 and y=z.

Therefore, \(x^2\) percent is 10000th percent of \(\frac{1}{10}\), which is \(\frac{10000}{100} * \frac{1}{10}\) = 10(Option D)
User avatar
B
mimajit
Manager
Manager
Joined: 03 Aug 2017
Posts: 76
Own Kudos [?]: 25 [0]
Given Kudos: 85
Send PM
Re: x, y and z are positive. If x percent of y is z [#permalink] New post   21 Sep 2019, 05:38
GMATPrepNow wrote:
x, y and z are positive. If x percent of y is z, and z percent of x is y, then what is x² percent of 1/10?

A) 1/100
B) 1/10
C) 1
D) 10
E) 100

*Kudos for all correct solutions


This is how i solved.

1) we know x/100*y = z ( 1............ )
We can aslo write this as xy/100 = z

2) We also know that z/100*x = y ( 2..... )'
We can write this as zx/100= y

Now substitute the value of z from 1st equation into the 2nd equation to get the value of x^2
ie xy/100*x/100=y
ie (x^2)*y/(100^2)=y
ie x^2=y*(100^2)/y
or x^2=100^2

now we are asked what is x^2 %of 1/10
ie (x^2)/100*1/10=?
ie (100^2)/100*1/10=?
so we get 100/10=10

Answer is (D) 10
User avatar
S
pranayeekarmakar
Manager
Manager
Joined: 14 Jun 2014
Posts: 107
Own Kudos [?]: 44 [0]
Given Kudos: 362
Location: India
Schools: ISB'22 IIM Booth '22
GPA: 4
Send PM
Re: x, y and z are positive. If x percent of y is z [#permalink] New post   01 Oct 2020, 12:05
x/100*y=z --> xy=100z

z/100*x=y --> xz=100y

x^2zy=10^4zy

x^2=10^4

x^2/100*1/10=10
User avatar
P
ramlala
Senior Manager
Senior Manager
Joined: 22 Aug 2020
Posts: 475
Own Kudos [?]: 352 [0]
Given Kudos: 30
Location: India
Concentration: International Business, Finance
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Oxford Said
GPA: 4
WE:Project Management (Energy and Utilities)
Send PM
Re: x, y and z are positive. If x percent of y is z [#permalink] New post   04 Oct 2020, 08:21
x, y and z are positive. If x percent of y is z, and z percent of x is y, then what is x² percent of 1/10?

A) 1/100
B) 1/10
C) 1
D) 10
E) 100

x%y=z & z%x=y......... therefore y=z
& x/100 = 1 ..... x=100

x^2% * 1/10
= 100 * 100
100 * 10
= 10
avatar
B
Booo123
Intern
Intern
Joined: 18 Jun 2019
Posts: 6
Own Kudos [?]: 5 [0]
Given Kudos: 37
Send PM
x, y and z are positive. If x percent of y is z [#permalink] New post   04 Oct 2020, 08:35
BrentGMATPrepNow wrote:
x, y and z are positive. If x percent of y is z, and z percent of x is y, then what is x² percent of 1/10?

A) 1/100
B) 1/10
C) 1
D) 10
E) 100

*Kudos for all correct solutions


1. [xy][/100] = z

2. [zx][/100] = y

Equate values of z/y

x square = 10000

Required value = [x square][/100*10] = 10

Option D
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32689
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: x, y and z are positive. If x percent of y is z [#permalink] New post   26 Feb 2024, 03:01
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
gmatclubot
Re: x, y and z are positive. If x percent of y is z [#permalink]
26 Feb 2024, 03:01
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions