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

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If a, b, and C are greater than 0 and a is twice as large as [#permalink] New post 07 Feb 2010, 11:14
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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}

[Reveal] Spoiler: OA
C

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Re: If a, b, and C are greater than 0 [#permalink] New post 07 Feb 2010, 11:29
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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}

[Reveal] 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}

Answer: C.
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Re: If a, b, and C are greater than 0 [#permalink] New post 31 Oct 2010, 03:43
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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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Re: If a, b, and C are greater than 0 [#permalink] New post 07 Feb 2010, 11:49
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}

[Reveal] 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}

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 and a is twice as large as [#permalink] New post 05 Sep 2012, 10:32
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] New post 16 Sep 2012, 05:43
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}

[Reveal] 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] New post 07 Dec 2012, 02:45
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 [#permalink] New post 10 Jul 2013, 03:37
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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Percent of... [#permalink] New post 06 Mar 2014, 05:50
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) 2b.c/100
B) 2b.c.c/1000
C) b.c.c/5000
D) b.b.c/5000
E) 5000b/c.c

I am a bit confused. Can anyone help?
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Re: Percent of... [#permalink] New post 06 Mar 2014, 06:34
Expert's post
coolredwine wrote:
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) 2b.c/100
B) 2b.c.c/1000
C) b.c.c/5000
D) b.b.c/5000
E) 5000b/c.c

I am a bit confused. Can anyone help?


Merging similar topics. Please refer to the discussion above.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rules 1 and 3. Thank you.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Percent of... [#permalink] New post 06 Mar 2014, 06:37
Bunuel wrote:
coolredwine wrote:
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) 2b.c/100
B) 2b.c.c/1000
C) b.c.c/5000
D) b.b.c/5000
E) 5000b/c.c

I am a bit confused. Can anyone help?


Merging similar topics. Please refer to the discussion above.

P.S. Please read cheerfully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rules 1 and 3. Thank you.

Sorry. I tried searching for the same topic, but couldn't locate it for some reason.

Thanks.
Re: Percent of...   [#permalink] 06 Mar 2014, 06:37
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