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If a, b, and C are greater than 0 and a is twice as large as [#permalink]
 07 Feb 2010, 12:14
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75% (02:07) correct
24% (01:15) wrong based on 9 sessions
Need Algebric solution - step by step:If a, b, and C are greater than 0 and a is twice as large as b percent of c, then in terms of b & c, what is a percent of c? (A) \frac{2bc}{100}(B) \frac{2bc^2}{1000}(C) \frac{bc^2}{5000}(D) \frac{b^2c}{5000}(E) \frac{5000b}{c^2}
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Re: If a, b, and C are greater than 0 [#permalink]
07 Feb 2010, 12:29
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Re: If a, b, and C are greater than 0 [#permalink]
07 Feb 2010, 12:49
Bunuel wrote: jeeteshsingh wrote: Need Algebric solution - step by step:If a, b, and C are greater than 0 and a is twice as large as b percent of c, then in terms of b & c, what is a percent of c? (A) \frac{2bc}{100}(B) \frac{2bc^2}{1000}(C) \frac{bc^2}{5000}(D) \frac{b^2c}{5000}(E) \frac{5000b}{c^2} a is twice as large as b percent of c --> a=2c\frac{b}{100}What is a percent of c? --> c\frac{a}{100}=?Multiply first equation by \frac{c}{100} --> a\frac{c}{100}=\frac{c}{100}2c\frac{b}{100} --> c\frac{a}{100}=\frac{c^2b}{5000}Answer: C. Thanks Bunuel.. I misunderstood the question's last part as What percent is a of c.... and hence I was getting 2b as the answer! 
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Re: If a, b, and C are greater than 0 [#permalink]
31 Oct 2010, 04:43
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Answer: CExplanation:We can use Word Translation to translate the wording into mathematics and Algebra to solve step by step; a is twice b percent of c ==> a = 2 * \frac{b}{100} * c = 2bc/100 --> eq-1 and What is a percent of c? ==> x = \frac{a}{100} * c = a*c*\frac{1}{100} --> eq-2 As, we know the value of a from the first equation eq-1 and after putting that value into eq-2, we get; x = \frac{2bc}{100}*c*\frac{1}{100} = \frac{bc}{50} *c*\frac{1}{100}= \frac{bc^2}{50} * \frac{1}{100} = \frac{bc^2}{5000}. Which is option C
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If a,b and c are greater than 0 and a is twice as large [#permalink]
01 Feb 2012, 20:01
If a,b and c are greater than 0 and a is twice as large as b percent of c then in terms of b and c , what is a percent of c ? A) 2bc/100 B) 2b (c^2) /1000 C) b (c^2) /5000 D)c (b^2) /5000 E) 5000b/(c^2) Could someone provide a solution to this problem ?
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Re: If a,b and c are greater than 0 and a is twice as large [#permalink]
02 Feb 2012, 01:45
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Re: If a, b, and C are greater than 0 and a is twice as large as [#permalink]
05 Sep 2012, 11:32
As per me the best way to solve this question is to Pick Smart Numbers & then verify the options
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Re: If a, b, and C are greater than 0 and a is twice as large as [#permalink]
16 Sep 2012, 06:43
jeeteshsingh wrote: Need Algebric solution - step by step:If a, b, and C are greater than 0 and a is twice as large as b percent of c, then in terms of b & c, what is a percent of c? (A) \frac{2bc}{100}(B) \frac{2bc^2}{1000}(C) \frac{bc^2}{5000}(D) \frac{b^2c}{5000}(E) \frac{5000b}{c^2} It is already given that a=2[bc/100] (Twice as large as b%c)...... Let this be equation 1We need a%c in terms of b. So Multiply equation 1 with c/100 we get- ac/100=2bc^2/10000 Therefore Ans is C
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Re: If a, b, and C are greater than 0 and a is twice as large as [#permalink]
07 Dec 2012, 03:45
b percent of c : \frac{bc}{100}
a is twice as large as b percent of c: a = \frac{2bc}{100}=\frac{bc}{50}
What is a percent of c?
a percent of c: \frac{ac}{100} = \frac{bc}{50}*\frac{c}{100}=\frac{bc^2}{5000}
Answer: C
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Re: If a, b, and C are greater than 0 and a is twice as large as
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07 Dec 2012, 03:45
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