NEW HERE? LEARN MORE
close
It is currently 31 Mar 2023, 12:43
Register
GMAT Club Tests
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

If an item that originally sold for z dollars was marked up

12 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
B
GMATT73
CEO
CEO
Joined: 29 Jan 2005
Posts: 2944
If an item that originally sold for z dollars was marked up [#permalink] New post  Updated on: 09 Oct 2013, 09:12
14
Bookmarks
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

71% (02:28) correct 29% (02:38) wrong based on 641 sessions

Hide Show timer Statistics

If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions represents the final price of the item?

A. (10,000z + 100z(x – y) – xyz)/10,000

B. (10,000z + 100z(y – x) – xyz)/10,000

C. (100z(x – y) – xyz)/10000

D. (100z(y – x) – xyz)/10000

E. 10000 /(x – y)

Show Spoiler
Actually figured it out as I was typing it in by picking the following numbers:

z=$10, x=20%, y=50% 1.2z*.5= 6

Final price should be $6.

Any other ways?
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

Originally posted by GMATT73 on 15 Nov 2006, 08:55.
Last edited by Bunuel on 09 Oct 2013, 09:12, edited 1 time in total.
Edited the question and added the OA.
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Community Reply
avatar
SaraLotfy
Intern
Intern
Joined: 24 Apr 2013
Posts: 44
Location: United States
Re: If an item that originally sold for z dollars was marked up [#permalink] New post  09 Oct 2013, 08:57
3
Kudos
4
Bookmarks
Solving algebraically:

Z * (1+(x/100)) * (1-(y/100))
Z* (100+x/100) * (100-y/100)
(100Z + ZX)/100 * (100-y/100)
[10,000Z + 100 ZX - 100 ZY - XYZ] /10,000
[10,000Z +100Z (X - Y) - XYZ] / 10,000

Choice A
General Discussion
avatar
Sumithra
Manager
Manager
Joined: 24 Oct 2006
Posts: 173
[#permalink] New post  15 Nov 2006, 09:10
3
Bookmarks
z dollars was marked up by x percent:

z+(z*x/100)=(100z+zx)/100

This discounted by y%:

{(100z+zx)/100}-{(100z+zx)/100 * (y/100)}

{(100z+zx)/100}-{100yz+xyz/100^2}

Solving I get A
User avatar
ak_idc
Director
Director
Joined: 21 Aug 2006
Posts: 567
Re: PS XYZ [#permalink] New post  15 Nov 2006, 09:34
GMATT73 wrote:
If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions represents the final price of the item?

(A) [10,000z + 100z(x – y) – xyz]/10,000
(B) [10,000z + 100z(y – x) – xyz]/10,000
(C) [100z(x – y) – xyz]/10,000
(D) [100z(y – x) – xyz]/10,000
(E) 10,000/(100yz + xy)

Actually figured it out as I was typing it in by picking the following numbers:

z=$10, x=20%, y=50% 1.2z*.5= 6

Final price should be $6.

Any other ways?


Matt, that is the easier way. Other way is to directly multiply and take the common factors out..but that seems to be time taking in this problem. As you know, whenever its possible, solving by substituting the numbers is the best way to solve problems when we are under time pressure :wink:
avatar
Priyah
Manager
Manager
Joined: 29 Aug 2006
Posts: 94
Re: PS XYZ [#permalink] New post  15 Nov 2006, 12:12
1
Kudos
GMATT73 wrote:
If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions represents the final price of the item?

(A) [10,000z + 100z(x – y) – xyz]/10,000
(B) [10,000z + 100z(y – x) – xyz]/10,000
(C) [100z(x – y) – xyz]/10,000
(D) [100z(y – x) – xyz]/10,000
(E) 10,000/(100yz + xy)

Actually figured it out as I was typing it in by picking the following numbers:

z=$10, x=20%, y=50% 1.2z*.5= 6

Final price should be $6.

Any other ways?


If mark-up is x%, new price will be (100+x)/100 times old price.

Discounted by y% means new price will be (100-y)/100 times old price.

So we have final price =z(100+x)(100-y)/10000
and the terms rearranged give A. :)
avatar
Sumithra
Manager
Manager
Joined: 24 Oct 2006
Posts: 173
[#permalink] New post  16 Nov 2006, 07:55
1
Kudos
To me, for some questions, picking nos. and applying those in each ans choice and finding the right choice seems tedious. I guess it depends on the method of practice and the strength of the individual, as I see in many threads, and of course, the time pressure.
User avatar
monirjewel
Manager
Manager
Joined: 06 Feb 2010
Posts: 127
Concentration: Marketing, Leadership
Schools: University of Dhaka - Class of 2010
GPA: 3.63
WE:Business Development (Consumer Products)
Re: If an item that originally sold for z dollars was marked up [#permalink] New post  24 Nov 2013, 05:59
2
Kudos
1
Bookmarks
Assume Z=100, x=10, y=10. So final price is 99. Now put these value each option. Only option A will give right answer.
User avatar
G
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 2796
Re: If an item that originally sold for z dollars was marked up [#permalink] New post  06 Jun 2017, 16:42
1
Bookmarks
Expert Reply
GMATT73 wrote:
If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions represents the final price of the item?

A. (10,000z + 100z(x – y) – xyz)/10,000

B. (10,000z + 100z(y – x) – xyz)/10,000

C. (100z(x – y) – xyz)/10000

D. (100z(y – x) – xyz)/10000

E. 10000 /(x – y)


We are given that an item that originally sold for z dollars was marked up by x percent and then discounted by y percent; thus, the final price of the item is:

z(1 + x/100)(1 - y/100)

z[(100 + x)/100][(100 - y)/100]

z[(10,000 + 100x - 100y - xy)/10,000

[(10,000z + 100xz - 100yz - xyz)/10,000

[(10,000z + 100z(x - y) - xyz)/10,000

Answer: A
_________________

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

Signature Read More
User avatar
P
sahilvijay
Senior Manager
Senior Manager
Joined: 29 Jun 2017
Posts: 341
GPA: 4
WE:Engineering (Transportation)
GMAT ToolKit User Reviews Badge
Re: If an item that originally sold for z dollars was marked up [#permalink] New post  07 Nov 2017, 01:30
2
Kudos
Ans is A

x% rise and y percent fall
net change formula is (a + b + ab/100 )% if rise +ve and if fall -ve
so x is + and y is -
net change will be x-y - xy/100
and this is % of z
so net change ie rise => z( x-y-xy/100)1/100
and last price was z
so new one is z+ z( x-y - xy/100)1/100
so becomes A
User avatar
S
spetznaz
Senior Manager
Senior Manager
Joined: 08 Jun 2015
Posts: 359
Location: India
Schools: Tepper '21 (D) IIMC PGPEX"20 (A) ISB '20 (II) HEC Jan19 Intake IIMA PGPX"20 (A) IIMB EPGP"20 (D) IMD '21 (D)
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33
Reviews Badge
Re: If an item that originally sold for z dollars was marked up [#permalink] New post  23 Jun 2018, 22:50
Use the rule for consecutive percentage changes. If there are consecutive %changes a and b. Then a+b+(ab/100) % is the net change. Substitute for x and y and solve. The answer is option A.
_________________
" The few , the fearless "
Signature Read More
User avatar
D
GMATGuruNY
VP
VP
Joined: 04 Aug 2010
Posts: 1256
Schools:Dartmouth College
Re: If an item that originally sold for z dollars was marked up [#permalink] New post  24 Jun 2018, 03:56
2
Kudos
Expert Reply
GMATT73 wrote:
If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions represents the final price of the item?

A. (10,000z + 100z(x – y) – xyz)/10,000

B. (10,000z + 100z(y – x) – xyz)/10,000

C. (100z(x – y) – xyz)/10000

D. (100z(y – x) – xyz)/10000

E. 10000 /(x – y)


Let z=1, x=0 and y=100.
Since the final discount = 100%, the final price = 0.

Now plug z=1, x=0 and y=100 into the five numerators to see which yields a final price of 0.
Since xyz = 0, this term can be ignored.
Only the numerator in A yields a value of 0:
10,000z + 100z(x-y) = 10,000*1 + 100*1*(0-100) = 10,000 - 10,000 = 0.

Show Spoiler
A

_________________
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 your tutor, I won't simply teach you how I would approach problems.
I'll unlock the best way for YOU to solve problems.
Available all over the world for virtual sessions and in NYC for live sessions.
For more information, please email me at GMATGuruNY@gmail.com.
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 27172
Re: If an item that originally sold for z dollars was marked up [#permalink] New post  20 Dec 2021, 00:54
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: If an item that originally sold for z dollars was marked up [#permalink]
20 Dec 2021, 00:54
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10506 posts
Bunuel
Math Expert
88691 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3149 posts

cron

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