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# If c and d are both positive integers, then c is what percent of d?

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Math Expert
Joined: 02 Sep 2009
Posts: 58347
If c and d are both positive integers, then c is what percent of d?  [#permalink]

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14 Mar 2018, 00:25
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Difficulty:

15% (low)

Question Stats:

92% (00:52) correct 8% (00:58) wrong based on 53 sessions

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If c and d are both positive integers, then c is what percent of d?

(1) 75 percent of d is 30
(2) c + 15 = d

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Joined: 22 Feb 2018
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If c and d are both positive integers, then c is what percent of d?  [#permalink]

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14 Mar 2018, 01:02
From statement 1 , we can find out D.
75 percentage of D is 30.
0.75*D= 30
D =40.
This statement does not give any information about C.so it is not sufficient to give ratio of C/D required for
calculating percentage.
Statement 2 , c + 15 = d
Dividing each side by D , we get
c/d +15/d =1
We need value of D to solve this equation and get C/D ratio.
This statement is also insufficient.
By putting Value of D from Statement1 into statement 2, we can get both value of C and Value of C/D ratio.
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Re: If c and d are both positive integers, then c is what percent of d?  [#permalink]

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14 Mar 2018, 01:08
Bunuel wrote:
If c and d are both positive integers, then c is what percent of d?

(1) 75 percent of d is 30
(2) c + 15 = d

Given : c > 0, d > 0

Question : c is what percent of d?

means c = x% ? * d

or what is x ?

we can simplify it further.

x = 100c/d ?

St 1: 75% of d is 30

means 75/100 * d = 30

d = 3000/75 = 40

d = 40

but we also needs "c" so INSUFFICIENT

St 2 : c + 15 = d

We need the value of "c " or "d" to solve this, therefore INSUFFICIENT

Combining we get d = 40

Put d = 40 in statement 2 we get

c = 40 - 15

c = 25

Therefore x = 100*25/40

x = 62.5

"c" is 62.5% of "d".

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Re: If c and d are both positive integers, then c is what percent of d?   [#permalink] 14 Mar 2018, 01:08
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