Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47983

If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of
[#permalink]
Show Tags
01 Jul 2017, 00:26
Question Stats:
51% (01:13) correct 49% (01:31) wrong based on 95 sessions
HideShow timer Statistics
If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of a and b, p is what percent of m? A. 10,000ab B. 1,000,000ab C. 100/(ab) D. 10,000/(ab) E. 1,000,000/(ab)
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Director
Joined: 18 Aug 2016
Posts: 631
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38

Re: If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of
[#permalink]
Show Tags
01 Jul 2017, 00:53
Bunuel wrote: If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of a and b, p is what percent of m?
A. 10,000ab
B. 1,000,000ab C. 100/(ab) D. 10,000/(ab) E. 1,000,000/(ab) \(m = an/100\) \(n = bp/100\) ===> \(p = 100n/b\) \((p/m)*100 = ((100n/b)/(an/100))*100\) \(= (10^6)/ab\) E
_________________
We must try to achieve the best within us
Thanks Luckisnoexcuse



Director
Joined: 04 Dec 2015
Posts: 700
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)

If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of
[#permalink]
Show Tags
01 Jul 2017, 01:27
Bunuel wrote: If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of a and b, p is what percent of m?
A. 10,000ab
B. 1,000,000ab C. 100/(ab) D. 10,000/(ab) E. 1,000,000/(ab) \(m = a\) % of \(n = \frac{a}{100}*n\) (i)
\(n = b\) % of \(p = \frac{b}{100} * p\)  (ii)
Substituting value of \(n\) from (ii) to (i), we get;
\(m = \frac{a}{100}*\frac{b}{100}*p\)  (iii)
Required percent is \(p\) is what % of \(m\). Let the unknown percent be \(x\).
\(p = \frac{x}{100}*m\) (iv)
Substituting value of \(m\) from (iii) to (iv), we get;
\(p = \frac{x}{100}* \frac{a}{100}*\frac{b}{100}*p\)
\(1 = \frac{x}{100}* \frac{a}{100}*\frac{b}{100}\)
\(x = \frac{1,000,000}{ab}\)
Answer (E)...



Manager
Joined: 27 Mar 2016
Posts: 52

Re: If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of
[#permalink]
Show Tags
01 Jul 2017, 02:36
m=an/100 n=bp/100 m=abp/10000 p*100/m=1000000/ab hence E



SC Moderator
Joined: 22 May 2016
Posts: 1907

If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of
[#permalink]
Show Tags
24 Jul 2017, 18:05
Bunuel wrote: If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of a and b, p is what percent of m?
A. 10,000ab
B. 1,000,000ab C. 100/(ab) D. 10,000/(ab) E. 1,000,000/(ab) Pick numbers, in stages. If there are three integers to be compared, I start with the second to avoid generating numbers that are too large or too small. For percents, I avoid 100% when choosing values for "a" and "b" percents. Choosing 50% or 10% usually keeps arithmetic simpler. Assign n = 40 a% = 50 Calculatem is a% percent of n m is 50% of 40 m = 20 Assignb = 50% Calculaten is b% of p 40 is 50% of 80 > p = 80 p = 80 m = 20 p is \(\frac{80}{20}\) * 100 = 400% of m a = 50 b = 50 All the answer choices contain ab, which = 2,500 Now the process goes very quickly. We know ab = 2,500 We need the answer choice that yields the raw number 400. "Percent" is already in the prompt's last clause: do not divide 400 by 100 (nor "move the decimal left two places")  that trap is in the answer choices. Answer choicesEliminate A and B without calculation. They're huge. Eliminate C without calculation. It's a fraction whose numerator is smaller than denominator  much too small. D. 10,000/(ab)? No. (10,000/2,500) = 4. We need 400. D is the trap answer here. E. 1,000,000/2,500 = 400. Correct. Answer E
_________________
In the depths of winter, I finally learned that within me there lay an invincible summer.  Albert Camus, "Return to Tipasa"



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3176
Location: United States (CA)

Re: If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of
[#permalink]
Show Tags
26 Jul 2017, 16:10
Bunuel wrote: If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of a and b, p is what percent of m?
A. 10,000ab
B. 1,000,000ab C. 100/(ab) D. 10,000/(ab) E. 1,000,000/(ab) We can create the following equations: m = (a/100)(n) and n = (b/100)(p) Thus: m = (a/100)(b/100)(p) m = (ab/10,000)(p) m(10,000/ab) = p p = m x (1,000,000/ab)/100 Thus, p is 1,000,000/ab percent of m. Answer: E
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



NonHuman User
Joined: 09 Sep 2013
Posts: 7754

Re: If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of
[#permalink]
Show Tags
30 Jul 2018, 10:29
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




Re: If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of &nbs
[#permalink]
30 Jul 2018, 10:29






