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# 8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?

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Math Expert
Joined: 02 Sep 2009
Posts: 54375
8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?  [#permalink]

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10 Apr 2019, 23:28
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Difficulty:

25% (medium)

Question Stats:

82% (00:56) correct 18% (02:10) wrong based on 11 sessions

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8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?

(A) 1/32
(B) 1/4
(C) 1
(D) 4
(E) 32

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Manager
Joined: 01 May 2017
Posts: 82
Location: India
Re: 8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?  [#permalink]

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11 Apr 2019, 00:39
8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?

(A) 1/32
(B) 1/4
(C) 1
(D) 4
(E) 32

8 = a*4/100
a = 200

b*8/100 = 4
b = 50

c = b/a
= 50/200
= 1/4

Option B is correct
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Joined: 18 Aug 2017
Posts: 3004
Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: 8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?  [#permalink]

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11 Apr 2019, 01:17
Bunuel wrote:
8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?

(A) 1/32
(B) 1/4
(C) 1
(D) 4
(E) 32

8=4/100 * a ; a = 200
4=8/100 * b ; b= 50
so c= b/a ; 50/200 ; 1/4
IMO B
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Re: 8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?  [#permalink]

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13 Apr 2019, 19:03
Bunuel wrote:
8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?

(A) 1/32
(B) 1/4
(C) 1
(D) 4
(E) 32

8 = 0.04a

200 = a

and

4 = 0.08b

50 = b

Therefore, c = 50/200 = 1/4.

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Re: 8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?   [#permalink] 13 Apr 2019, 19:03
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# 8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c ?

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