Jul 19 08:00 AM PDT  09:00 AM PDT The Competition Continues  Game of Timers is a teambased competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th Jul 20 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jul 21 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 30 Mar 2010
Posts: 80

x is what percent of y percent of z, in terms of x, y and z?
[#permalink]
Show Tags
28 Oct 2010, 13:51
Question Stats:
77% (01:28) correct 23% (01:14) wrong based on 65 sessions
HideShow timer Statistics
x is what percent of y percent of z, in terms of x, y and z? (A) 100xy/z (B) 100yz/x (C) 100yz/x (D) 10000x/yz (E) 10000yz/x
Official Answer and Stats are available only to registered users. Register/ Login.



Math Expert
Joined: 02 Sep 2009
Posts: 56268

x is what percent of y percent of z, in terms of x, y and z?
[#permalink]
Show Tags
28 Oct 2010, 14:04
afyl128 wrote: x is what percent of y percent of z, in terms of x, y and z?
(A) 100xy/z (B) 100yz/x (C) 100yz/x, (D) 10000x/yz (E) 10000yz/x
Really struggling with these successive percent VIC style questions. Any advice? x is what percent of ... > \(x=\frac{?}{100}*...\); y percent of z > \(z*\frac{y}{100}\); So, \(x=\frac{?}{100}*(z*\frac{y}{100})\) > \(?=\frac{10,000x}{yz}\). Answer D. Similar questions: http://gmatclub.com/forum/ifabandc ... ms#p684668http://gmatclub.com/forum/ifm0andxis103387.htmlHope it helps.
_________________



GMAT Tutor
Joined: 24 Jun 2008
Posts: 1727

Re: Successive Percents
[#permalink]
Show Tags
28 Oct 2010, 14:08
Algebraically, y% of z is just (y/100)*z, or yz/100. So we want to answer the question: x is what percent of yz/100? Say x is equal to m% of yz/100; then we have: x = (m/100)*(yz/100) 10,000x/yz = m and since m is what we were asked to find, the answer is 10,000x/yz. Alternatively, if you don't see how to do the algebra very quickly, you should fall back on a numberpicking strategy. Here, we can invent straightforward numbers for x, y and z, and answer the question using those numbers. We need to take a percentage of z, so we might let z = 100, and then choose smaller numbers for y and x, say y = 20, and x = 10, (though there lots of simple sets of numbers that would do just fine here). With these numbers, our question becomes: "10 is what percent of 20% of 100?", or in other words, "10 is what percent of 20?" We know the answer to that question is 50%, so we are looking for an answer that gives us 50 if we plug in our values of x, y and z. Only D works (if two answer choices work, that's an unfortunate coincidence, in which case you'd need to try again with a new set of numbers to distinguish between those two remaining choices  that's one reason that this method can sometimes be time consuming, and if you can do the algebra, you'll save time in most cases). Incidentally, answers B and C are identical in your post above  I'm guessing one of them should read 100xz/y.
_________________
GMAT Tutor in Toronto
If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com



Manager
Joined: 30 Mar 2010
Posts: 80

Re: Successive Percents
[#permalink]
Show Tags
28 Oct 2010, 14:18
IanStewart wrote: Incidentally, answers B and C are identical in your post above  I'm guessing one of them should read 100xz/y.
LOL question is actually written that way =) Many thanks for the answer!



Manager
Joined: 30 Mar 2010
Posts: 80

Re: Successive Percents
[#permalink]
Show Tags
28 Oct 2010, 14:23
Bunuel wrote: afyl128 wrote: x is what percent of y percent of z, in terms of x, y and z?
(A) 100xy/z (B) 100yz/x (C) 100yz/x, (D) 10000x/yz (E) 10000yz/x
Really struggling with these successive percent VIC style questions. Any advice? x is what percent of ... > \(x=\frac{?}{100}*...\); y percent of z > \(z*\frac{y}{100}\); So, \(x=\frac{?}{100}*(z*\frac{y}{100})\) > \(?=\frac{10,00x}{yz}\). Answer D. Similar questions: ifabandcaregreaterthan90197.html?hilit=percent%20terms#p684668ifm0andxis103387.htmlHope it helps. Thanks so much, this helps a lot.. I don't know what it is about you putting the ? in there but it really did the trick.



Senior Manager
Status: Not afraid of failures, disappointments, and falls.
Joined: 20 Jan 2010
Posts: 261
Concentration: Technology, Entrepreneurship
WE: Operations (Telecommunications)

Re: Successive Percents
[#permalink]
Show Tags
31 Oct 2010, 04:59
afyl128 wrote: Bunuel wrote: afyl128 wrote: x is what percent of y percent of z, in terms of x, y and z?
(A) 100xy/z (B) 100yz/x (C) 100yz/x, (D) 10000x/yz (E) 10000yz/x
Really struggling with these successive percent VIC style questions. Any advice? x is what percent of ... > \(x=\frac{?}{100}*...\); y percent of z > \(z*\frac{y}{100}\); So, \(x=\frac{?}{100}*(z*\frac{y}{100})\) > \(?=\frac{10,00x}{yz}\). Answer D. Similar questions: ifabandcaregreaterthan90197.html?hilit=percent%20terms#p684668ifm0andxis103387.htmlHope it helps. Thanks so much, this helps a lot.. I don't know what it is about you putting the ? in there but it really did the trick. It is better to write \(?\) instead of some variable as there are already variables provided and can be confusing at times.
_________________
"I choose to rise after every fall" Target=770 http://challengemba.blogspot.com Kudos??



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823

Re: x is what percent of y percent of z, in terms of x, y and z?
[#permalink]
Show Tags
22 Feb 2018, 17:44
afyl128 wrote: x is what percent of y percent of z, in terms of x, y and z?
(A) 100xy/z (B) 100yz/x (C) 100yz/x (D) 10000x/yz (E) 10000yz/x We can let p be the percentage. Thus, we have x = p/100 * y/100 * z x = pyz/10000 x*10000/yz = p Answer: D
_________________
5star 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
If you find one of my posts helpful, please take a moment to click on the "Kudos" button.




Re: x is what percent of y percent of z, in terms of x, y and z?
[#permalink]
22 Feb 2018, 17:44






