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# If b equals 10% of a and c equals 20% of b, then which one of the foll

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Math Expert
Joined: 02 Sep 2009
Posts: 58402
If b equals 10% of a and c equals 20% of b, then which one of the foll  [#permalink]

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10 Apr 2019, 23:27
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Difficulty:

45% (medium)

Question Stats:

54% (01:39) correct 46% (02:03) wrong based on 24 sessions

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If b equals 10% of a and c equals 20% of b, then which one of the following equals 30% of c ?

(A) 0.0006% of a
(B) 0.006% of a
(C) 0.06% of a
(D) 0.6% of a
(E) 6% of a

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Posts: 5008
Location: India
Concentration: Sustainability, Marketing
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Re: If b equals 10% of a and c equals 20% of b, then which one of the foll  [#permalink]

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11 Apr 2019, 01:14
Bunuel wrote:
If b equals 10% of a and c equals 20% of b, then which one of the following equals 30% of c ?

(A) 0.0006% of a
(B) 0.006% of a
(C) 0.06% of a
(D) 0.6% of a
(E) 6% of a

let a = 100
b= 10
c= 2
so 30% of c = 0.6
and 0.6% of a = 30 % of c
IMO D
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Re: If b equals 10% of a and c equals 20% of b, then which one of the foll  [#permalink]

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13 Apr 2019, 19:01
Bunuel wrote:
If b equals 10% of a and c equals 20% of b, then which one of the following equals 30% of c ?

(A) 0.0006% of a
(B) 0.006% of a
(C) 0.06% of a
(D) 0.6% of a
(E) 6% of a

b = 0.1a

and

c = 0.2b

c/0.2 = b

c/(1/5) = b

5c = b

Thus:

5c = 0.1a

50c = a

c = a/50 = 2a/100

So c is 2% of a, and therefore, 30% of c is 0.3 x 2% = 0.6% of a.

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Re: If b equals 10% of a and c equals 20% of b, then which one of the foll   [#permalink] 13 Apr 2019, 19:01
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