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# If a, b, and C are greater than 0 and a is twice as large as

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

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07 Feb 2010, 12:14
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55% (hard)

Question Stats:

65% (01:56) correct 35% (02:19) wrong based on 335 sessions

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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 and a is twice as large as  [#permalink]

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07 Feb 2010, 12:29
6
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) $$\frac{5000b}{c^2}$$

Spoiler: :: OA
C

$$a$$ 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 $$\frac{c}{100}$$ --> $$a\frac{c}{100}=\frac{c}{100}2c\frac{b}{100}$$ --> $$c\frac{a}{100}=\frac{c^2b}{5000}$$

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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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31 Oct 2010, 04:43
5
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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Re: If a, b, and C are greater than 0 and a is twice as large as  [#permalink]

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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) $$\frac{5000b}{c^2}$$

Spoiler: :: OA
C

$$a$$ 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 $$\frac{c}{100}$$ --> $$a\frac{c}{100}=\frac{c}{100}2c\frac{b}{100}$$ --> $$c\frac{a}{100}=\frac{c^2b}{5000}$$

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 and a is twice as large as  [#permalink]

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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]

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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) $$\frac{5000b}{c^2}$$

Spoiler: :: OA
C

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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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: $$\frac{ac}{100} = \frac{bc}{50}*\frac{c}{100}=\frac{bc^2}{5000}$$

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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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10 Jul 2013, 04:37
lets say a = 10 and b=5
so as per given info. 10 = 2*5*c/100
Which will give c = 100

substitute the value of 'b' and 'c' in in answer choices to get value 'a'.
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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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