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a percent of b is c and c percent of d is e, then a is what percent of

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a percent of b is c and c percent of d is e, then a is what percent of  [#permalink]

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New post 10 Nov 2014, 23:51
1
3
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A
B
C
D
E

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  65% (hard)

Question Stats:

59% (01:58) correct 41% (02:08) wrong based on 145 sessions

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a percent of b is c and c percent of d is e, then a is what percent of e?

(a, b, c, d, e > 0)

A: \(\frac{bd}{1000}\)

B: \(\frac{10000}{bd}\)

C: 10000 bd

D: \(\frac{bd}{1000}\)

E: \(\frac{1000000}{bd}\)

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a percent of b is c and c percent of d is e, then a is what percent of  [#permalink]

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New post 11 Nov 2014, 04:45
1
given:
\(\frac{a}{100}*b=c\)
\(\frac{c}{100}*d=e\)
substitue c in 2nd equation with LHS of the first
\(\frac{a*b}{100}*\frac{d}{100}=e\)
\(\frac{abd}{100}=100e\)
\(a=\frac{100e*100}{bd}\)
convert this into a percent
\(\frac{1000000}{bd} %\) of e.
answer- E
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a percent of b is c and c percent of d is e, then a is what percent of  [#permalink]

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New post 12 Aug 2016, 15:00
PareshGmat wrote:
a percent of b is c and c percent of d is e, then a is what percent of e?

(a, b, c, d, e > 0)

A: \(\frac{bd}{1000}\)

B: \(\frac{10000}{bd}\)

C: 10000 bd

D: \(\frac{bd}{1000}\)

E: \(\frac{1000000}{bd}\)


Could someone correct the answer choices - (A) and (D) look the same.

Correct answer is \(\frac{bd}{100}\)
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Re: a percent of b is c and c percent of d is e, then a is what percent of  [#permalink]

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New post 10 Dec 2016, 05:39
manhasnoname wrote:
PareshGmat wrote:
a percent of b is c and c percent of d is e, then a is what percent of e?

(a, b, c, d, e > 0)

A: \(\frac{bd}{1000}\)

B: \(\frac{10000}{bd}\)

C: 10000 bd

D: \(\frac{bd}{1000}\)

E: \(\frac{1000000}{bd}\)


Could someone correct the answer choices - (A) and (D) look the same.

Correct answer is \(\frac{bd}{100}\)




manhasnoname - Your answer seems incorrect. can you please explain? Ans E seems correct.
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Re: a percent of b is c and c percent of d is e, then a is what percent of  [#permalink]

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New post 11 Dec 2016, 01:55
1
PareshGmat wrote:
a percent of b is c and c percent of d is e, then a is what percent of e?

(a, b, c, d, e > 0)

A: \(\frac{bd}{1000}\)

B: \(\frac{10000}{bd}\)

C: 10000 bd

D: \(\frac{bd}{1000}\)

E: \(\frac{1000000}{bd}\)


Plug in some values ,

Let a = 10 b = 50 So, c = 5

So, c = 5 ; d = 60 So, e = 3

a as % of e is 10/3*100 => 1000/3

Now, check the options -

In (E) we have -

\(\frac{1000000}{bd}\)

= 1000000/50*60

= 1000000/3000

= 1000/3

So, Correct answer must be (E)


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Re: a percent of b is c and c percent of d is e, then a is what percent of  [#permalink]

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New post 11 Dec 2016, 05:17
2
PareshGmat wrote:
a percent of b is c and c percent of d is e, then a is what percent of e?

(a, b, c, d, e > 0)

A: \(\frac{bd}{1000}\)

B: \(\frac{10000}{bd}\)

C: 10000 bd

D: \(\frac{bd}{1000}\)

E: \(\frac{1000000}{bd}\)



Hi,

We can solve it in three ways

Choices
We have three % involved and rest all are constants
So our answer should have 3 %s together that is 100*100*100
Or one % getting cancelled out with other so 100*100/100=100
So answer should have either 2 0s or 6 0s..
Only E has 6 0s..

Substitution
As shown above too by abhisheik too..
You can always choose easy numbers..
a percent of b is c ... take a as 10, b as 100 so C is 10
and c percent of d is e,.....C is 10 let d be 100 so E is 10
then a is what percent of e?that is 10 is what % of 10.. ofcourse 100%..

If you look at choices, only E 1000000/bd=1000000/100*100=100
Correct Answer

Proper method..
a percent of b is c , so a*b/100=C..a=100c/b
and c percent of d is e, ..so c*d/100=E
Then a is what percent of e... a/E*100=( 100c/b)/(CD/100) * 100= 100c*100*100/BCD=1000000/bd
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: a percent of b is c and c percent of d is e, then a is what percent of  [#permalink]

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New post 23 Apr 2018, 12:55
PareshGmat wrote:
a percent of b is c and c percent of d is e, then a is what percent of e?

(a, b, c, d, e > 0)

A: \(\frac{bd}{1000}\)

B: \(\frac{10000}{bd}\)

C: 10000 bd

D: \(\frac{bd}{1000}\)

E: \(\frac{1000000}{bd}\)


The easiest way to solve this is to give values to a,b,c,d, and e.

Let say, if a=10 percent of b=100 is c=10 and c=10 percent of d=100 is e=10
We have been asked to find how much percent of e is a. Here a=e=10.

So, therefore, the answer should be 100%(since a is 100% of e)

Evaluating answer options,
A: \(\frac{bd}{1000} = \frac{100*100}{1000} = 10\)
B: \(\frac{10000}{bd} = \frac{10000}{100*100} = 1\)
C: 10000 bd = 10000*100*100
D: \(\frac{bd}{1000} = \frac{100*100}{1000} = 10\)
E: \(\frac{1000000}{bd} = \frac{1000000}{100*100} = 100\)

Only Option E(\(\frac{1000000}{bd}\)) matches and is our answer
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Re: a percent of b is c and c percent of d is e, then a is what percent of &nbs [#permalink] 23 Apr 2018, 12:55
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