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# If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe

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Joined: 02 Sep 2009
Posts: 53020
If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

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05 Feb 2019, 03:46
00:00

Difficulty:

75% (hard)

Question Stats:

37% (02:17) correct 63% (03:01) wrong based on 30 sessions

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If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?

A. 0.625
B. 6.25
C. 62.5
D. 625
E. 6250

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Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

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05 Feb 2019, 04:37
Bunuel wrote:
If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?

A. 0.625
B. 6.25
C. 62.5
D. 625
E. 6250

a=0.6b
b=0.4c
c=0.2d
a=0.6*.4*.2d
a=.048d

6d=x*20*a
6d=.01x*20 * 0.048d
.01x= 6.25
x=625
IMO D
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Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

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05 Feb 2019, 21:15
a=.6b, b=.4c, c=.2d
thus a =.6*.4*.2 d
a= 0.048d
20a = .96d
now 6d = x* 20a
x = 6/(.96)
x = 625
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Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

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06 Feb 2019, 01:01
Bunuel wrote:
If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?

A. 0.625
B. 6.25
C. 62.5
D. 625
E. 6250

d = 100

c = 20

b = 8

a = 4.8

(6d / 20a)*100

(600 / 4.8 * 20 )*100

(600 / 96 )*100

600 / 96 = 6.25

6.25 * 100 = 625.

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Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

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08 Feb 2019, 07:29
Bunuel wrote:
If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?

A. 0.625
B. 6.25
C. 62.5
D. 625
E. 6250

We can create the equations:

a = 0.6b

And

b = 0.4c

and

c = 0.2d

Therefore, we have b = 0.4(0.2d) = 0.08d, and hence a = 0.6(0.08d) = 0.048d.

So 20a = 20(0.048d) = 0.96d, and 6d is:

6d/(0.96d) x 100 = 6/0.96 x 100 = 600/96 x 100 = 625 percent of 20a

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Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe  [#permalink]

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08 Feb 2019, 07:49
Bunuel wrote:
If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?

A. 0.625
B. 6.25
C. 62.5
D. 625
E. 6250

Let, $$d = 1000$$

So, $$c = 200$$ ; $$b = 80$$ & $$a = 48$$

Thus, $$6d = 6000$$ & $$20a = 960$$

Then, $$6d$$ is what percent of $$20a$$ = $$\frac{6000}{960}*100 = 625$$ Answer must be (D)
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Re: If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what pe   [#permalink] 08 Feb 2019, 07:49
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