BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Z is 120% of Y. X is smaller than Z by 80%. What percentage

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2505
Joined: Sun Oct 15, 2017 1:50 pm
Followed by:6 members

Z is 120% of Y. X is smaller than Z by 80%. What percentage

by BTGmoderatorLU » Fri Apr 27, 2018 2:07 pm
Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?

A. 96%
B. 50%
C. 45%
D. 40%
E. 24%

The OA is E.

I get the solution as follows,

Let y = 100
z = 120
x = 120*(100-80)/100 = 24

x : y = 24 : 100
i.e. 24%
The correct answer is E.

Please, can anyone explain another way to solve this PS question? Thanks!
Top
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Fri Apr 27, 2018 2:26 pm
BTGmoderatorLU wrote:Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?

A. 96%
B. 50%
C. 45%
D. 40%
E. 24%
Since Z is 120% of Y, we get:
Z/Y = 120/100 = 6/5.

X is 80% less than Z implies that X is 20% of Z:
X/Z = 20/100 = 1/5.

What percentage of Y is X?
X/Y = X/Z * Z/Y = 1/5 * 6/5 = 6/25 = 24/100.

Thus:
X is 24% of Y.

The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
User avatar
GMAT Instructor
Posts: 1462
Joined: Thu Apr 09, 2015 9:34 am
Location: New York, NY
Thanked: 39 times
Followed by:22 members

by Jeff@TargetTestPrep » Fri May 04, 2018 9:35 am
BTGmoderatorLU wrote:Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?

A. 96%
B. 50%
C. 45%
D. 40%
E. 24%
We can create the equations:

Z = 1.2Y

and

X = 0.2Z


Z = X/0.2

Since Z is equal to both 1.2Y and X/0.2, let's set these two quantities equal to each other:

X/0.2 = 1.2Y

X = 1.2Y(0.2)

X/Y = (1.2)(0.2) = (0.24)

Thus, X is 24% of Y.

Answer: E

Jeffrey Miller
Head of GMAT Instruction
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

Re: Z is 120% of Y. X is smaller than Z by 80%. What percentage

by Brent@GMATPrepNow » Wed Jan 15, 2020 7:23 am
BTGmoderatorLU wrote: ↑
Fri Apr 27, 2018 2:07 pm
 Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?

A. 96%
B. 50%
C. 45%
D. 40%
E. 24%
We can also solve this by assigning values that meet the given conditions.

Z is 120% of Y
So, let Z = 120 and let Y = 100

X is smaller than Z by 80%.
In other words, X is 20% of Z
If Z = 120, then X = 20% of 120
So, X = 24

What percentage is X of Y?
24/100 = 24%

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8086
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

Re: Z is 120% of Y. X is smaller than Z by 80%. What percentage

by Scott@TargetTestPrep » Tue Jan 21, 2020 8:53 am
BTGmoderatorLU wrote: ↑
Fri Apr 27, 2018 2:07 pm
 Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?

A. 96%
B. 50%
C. 45%
D. 40%
E. 24%

The OA is E.

I get the solution as follows,

Let y = 100
z = 120
x = 120*(100-80)/100 = 24

x : y = 24 : 100
i.e. 24%
The correct answer is E.

Please, can anyone explain another way to solve this PS question? Thanks!
We can create the equations:

Z = 1.2Y

and

X = 0.2Z

X/0.2 = Z

Thus:

X/0.2 = 1.2Y

X = 0.24Y

X/Y = 0.24

X/Y * 100 = 0.24 * 100 = 24 percent

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Post new topic Post Reply
• Page 1 of 1