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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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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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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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14 Nov 2017, 03:17
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60% (01:25) correct 
