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x is what percent of y percent of z, in terms of x, y and z?
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28 Oct 2010, 12:51
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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
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x is what percent of y percent of z, in terms of x, y and z?
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28 Oct 2010, 13:04



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Re: Successive Percents
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28 Oct 2010, 13:08
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.
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Re: Successive Percents
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28 Oct 2010, 13:18
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!



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Re: Successive Percents
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28 Oct 2010, 13:23
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.



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Re: Successive Percents
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31 Oct 2010, 03:59
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.
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Re: x is what percent of y percent of z, in terms of x, y and z?
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22 Feb 2018, 16:44
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
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