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If it is assumed that 60 percent of those who receive a questionnaire

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If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

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If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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New post Updated on: 11 Apr 2016, 12:01
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Bunuel wrote:
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Kudos for a correct solution.

60 percent of those who receive a questionnaire by mail will respond
Rewrite as: 60 percent of receivers = responders
We want 300 responders, so rewrite as: 60 percent of receivers = 300
60% of what = 300?

Option #1) Check answer choices
A) 400
60% of 400 = 240 (nope, we want 300)
.
.
.
D) 500
60% of 500 = 300...works!!


Or option #2) algebra
60% of x = 300
0.6x = 300
x = 300/0.6
= 500
= D


Or...
60% of x = 300
0.6x = 300
(3/5)x = 300
x = (5/3)300
= 500
= D

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Brent
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Originally posted by GMATPrepNow on 14 Oct 2015, 21:20.
Last edited by GMATPrepNow on 11 Apr 2016, 12:01, edited 1 time in total.
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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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New post 14 Oct 2015, 21:23
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given: 60% will respond, so 300 is the 60% of the x questionnaires sent.
then x=300*100/60=500

Ans: D
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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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New post 15 Oct 2015, 14:13
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Minimum no of mail to be sent for getting 300 responses at 60%

= 300/0.6 = 500 Ans

Option D
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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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New post 15 Oct 2015, 20:56
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Bunuel wrote:
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Kudos for a correct solution.

Let c be the number of questionnaires mailed
We need 300 responses
So 60% of c should be equal to 300
60/100*c=300
C=30000/60
C=500
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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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New post 16 Oct 2015, 02:56
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300 *100/60 = 500

Ans: D
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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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New post 06 Jul 2016, 03:05
Bunuel wrote:
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

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60%*x=300 ===> 60/100 * x= 300

300*100 / 60 = x

x=500

D
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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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New post 06 Jul 2016, 05:48
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Bunuel wrote:
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Kudos for a correct solution.


If 300 is 60%, then 100% would be= 300*100/60= 500

D is the answer
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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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New post 13 Sep 2017, 22:54
60/100 = 300
then 30000/60 = 500
Hence Answer is 500
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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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New post 18 Sep 2017, 05:49
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Bunuel wrote:
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600


If we let x = the number of questionnaires that should be mailed, then x must satisfy 0.6x = 300. Then, x = 300/0.6 = 500.

Answer: D
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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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New post 07 Apr 2018, 20:08
One of the most overlooked ways to solve such questions is "Guess and Check". If we look at this question, we can see that the easiest option to attack is (D) 500:

500 is half of 1000. So 60% of 1000 = 600, and hence 600% of 500 (which is half of 1000) will be 300 ----> our answer (D).
Re: If it is assumed that 60 percent of those who receive a questionnaire   [#permalink] 07 Apr 2018, 20:08
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