Last visit was: 22 Apr 2026, 21:39 It is currently 22 Apr 2026, 21:39
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: 22 Apr 2026
Posts: 109,754
Own Kudos:
810,694
 [1]
Given Kudos: 105,834
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: 109,754
Kudos: 810,694
 [1]
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% 22 Jul 2018, 23:26
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

69% (01:51) correct 31% (02:14) wrong based on 156 sessions

History

Date
Time
Result
Not Attempted Yet
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, x/y is what percent greater or less than z/w ?

(A) 25 % less
(B) 20 % less
(C) 20 % greater
(D) 25 % greater
(E) 50 % greater
ShowHide Answer
Official Answer
D
User avatar
KSBGC
User avatar
Joined: 31 Oct 2013
Last visit: 10 Mar 2022
Posts: 1,240
Own Kudos:
1,508
 [2]
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Posts: 1,240
Kudos: 1,508
 [2]
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% 22 Jul 2018, 23:49
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, x/y is what percent greater or less than z/w ?

(A) 25 % less
(B) 20 % less
(C) 20 % greater
(D) 25 % greater
(E) 50 % greater
Show more


let assume the value:

w=100

x=150

y=100

z=120

1. x/y = 150/100 = 3/2

2. z / w = 120 /100 = 6/5

Difference = 3/2 -6/5 = 3/10

Required % = (3/10 ) / (6/5)

= 1/ 4 ~ 25%.

The best answer is D.
User avatar
CounterSniper
User avatar
Joined: 20 Feb 2015
Last visit: 14 Apr 2023
Posts: 611
Own Kudos:
857
Given Kudos: 74
Concentration: Strategy, General Management
Posts: 611
Kudos: 857
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% 23 Jul 2018, 04:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, x/y is what percent greater or less than z/w ?

(A) 25 % less
(B) 20 % less
(C) 20 % greater
(D) 25 % greater
(E) 50 % greater
Show more

x=1.5y
z=1.2w

x/y=1.5y/y=15/10
z/w=12/10

%greater = (0.3)*100/1.2 =25%
User avatar
sandman13
User avatar
Joined: 20 Apr 2018
Last visit: 26 Dec 2019
Posts: 132
Own Kudos:
304
Given Kudos: 156
Concentration: Technology, Nonprofit
Schools: ISB '21 (A)
WE:Analyst (Non-Profit and Government)
Schools: ISB '21 (A)
Posts: 132
Kudos: 304
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% 23 Jul 2018, 07:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
How do you decide what goes in the denominator in such %(change) questions?

Why is the answer not 0.3/1.5 x 100 = 20% increase?
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,754
Own Kudos:
810,694
 [1]
Given Kudos: 105,834
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: 109,754
Kudos: 810,694
 [1]
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% 23 Jul 2018, 07:14
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
sandman13
How do you decide what goes in the denominator in such %(change) questions?

Why is the answer not 0.3/1.5 x 100 = 20% increase?
Show more

Put in the denominator the value you are comparing to. For example: what percent is 10 greater than 8? (10 - 8)/8*100 = 0.25
User avatar
CounterSniper
User avatar
Joined: 20 Feb 2015
Last visit: 14 Apr 2023
Posts: 611
Own Kudos:
857
Given Kudos: 74
Concentration: Strategy, General Management
Posts: 611
Kudos: 857
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% 23 Jul 2018, 09:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
sandman13
How do you decide what goes in the denominator in such %(change) questions?

Why is the answer not 0.3/1.5 x 100 = 20% increase?
Show more

The question itself makes it clear that x/y is greater.
Profit % is normally calculated over cp(cost price,unless specifically stated in the question), similarly loss percent over selling price.
Just have to figure out which one is what.

Posted from my mobile device
User avatar
gracie
User avatar
Joined: 07 Dec 2014
Last visit: 11 Oct 2020
Posts: 1,028
Own Kudos:
2,021
Given Kudos: 27
Posts: 1,028
Kudos: 2,021
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% 23 Jul 2018, 12:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, x/y is what percent greater or less than z/w ?

(A) 25 % less
(B) 20 % less
(C) 20 % greater
(D) 25 % greater
(E) 50 % greater
Show more

x/y=1.5/1
z/w=1.2/1
1.5/1.2=1.25
25%
D
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,974
Own Kudos:
8,710
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,974
Kudos: 8,710
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% 25 Jul 2018, 17:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, x/y is what percent greater or less than z/w ?

(A) 25 % less
(B) 20 % less
(C) 20 % greater
(D) 25 % greater
(E) 50 % greater
Show more

We can create the equations:

x = 1.5y

x/y = 1.5

and

z = 1.2w

z/w = 1.2

So we have:

(1.5 - 1.2)/1.2 x 100

0.3/1.2 x 100

3/12 x 100 = 25%

Answer: D
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,964
Own Kudos:
1,117
Posts: 38,964
Kudos: 1,117
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% 12 Jun 2025, 19:11
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
109754 posts
Krunaal
Tuck School Moderator
853 posts