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|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

Re: If a, b, and C are greater than 0 and a is twice as large as [#permalink]

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31 Oct 2010, 04:43

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This post received KUDOS

Answer: C Explanation: 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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\(a\) 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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Cheers! JT........... If u like my post..... payback in Kudos!!

|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

It is already given that a=2[bc/100] (Twice as large as b%c)...... Let this be equation 1 We 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]

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04 Oct 2015, 09:47

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Re: If a, b, and C are greater than 0 and a is twice as large as [#permalink]

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09 Oct 2016, 03:09

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