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a/2 is b% of 30, and a is c% of 50. b is positive.

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a/2 is b% of 30, and a is c% of 50. b is positive. [#permalink] New post   29 Apr 2019, 01:42
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\(\frac{a}{2}\) is b% of 30, and a is c% of 50. b is positive.

Quantity A
Quantity B
b
c



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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B
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janani11
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Re: a/2 is b% of 30, and a is c% of 50. b is positive. [#permalink] New post   01 May 2019, 17:00
1
Given :
a/2=b/100*30; a = 0.6*b
A= c/100*50= 0.5*c
B = a/0.6
C= a/0.5
C is greater.
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Re: a/2 is b% of 30, and a is c% of 50. b is positive. [#permalink] New post   16 Jun 2019, 09:32
You sure this is correct?

What I got:

a/2 = (30 * b)/100; // because we are taking b% of 30 which is 30 * (b / 100). Why this is incorrect?

a = (50 * c)/100;

c = (3 * b) / 10 = 0.3 * b; => c > b.

Where I am mistaken?

Thank you!
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Re: a/2 is b% of 30, and a is c% of 50. b is positive. [#permalink] New post   16 Jun 2019, 10:59
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Translation

\(\frac{a}{2} = \frac{b}{100} \times 30\)

\(\frac{a}{2} = \frac{3b}{10}\)

\(10a=6b\)

\(5a=3b\)

\(b=\frac{5a}{3}\)

Then we do have

\(a= \frac{c}{100} \times 50\)

\(a = \frac{c}{2}\)

\(c = 2a\)

\(b = \frac{5a}{3} < c =2a\)

if you plug numbers, no matter what b is the answer
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Re: a/2 is b% of 30, and a is c% of 50. b is positive. [#permalink]
16 Jun 2019, 10:59
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