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If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of
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01 Jul 2017, 00:26
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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)
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Re: If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of
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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
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If a>0 and b>0, and if m is a% of n and n is b% of p, then in terms of
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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)...



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



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