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OG 2016 Percentage Question

This topic has 5 expert replies and 0 member replies
staunchMBAican Newbie | Next Rank: 10 Posts Default Avatar
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OG 2016 Percentage Question

Post Thu Jun 18, 2015 10:08 am
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

I feel there's gotta be a nifty quick trick here. Experts?

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GMAT/MBA Expert

Post Wed Jan 10, 2018 12:05 pm
staunchMBAican 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

I feel there's gotta be a nifty quick trick here. Experts?
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

Cheers,
Brent

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Post Thu Jan 04, 2018 8:46 am
staunchMBAican 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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Post Thu Jun 18, 2015 10:19 am
staunchMBAican 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
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


Cheers,
Brent

_________________
Brent Hanneson – Founder of GMATPrepNow.com
Use our video course along with Beat The GMAT's free 60-Day Study Guide

Check out the online reviews of our course
Come see all of our free resources

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GMAT/MBA Expert

Post Thu Jun 18, 2015 10:23 am
staunchMBAican 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

I feel there's gotta be a nifty quick trick here. Experts?
Of every 100 questionnaires that are mailed, 60 will yield responses, implying the following ratio:
responses : mailed = 60:100 = 3:5 = 300:500.
Thus, to yield 300 responses, the number of questionnaires that must be mailed = 500.

The correct answer is D.

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For more information, please email me at GMATGuruNY@gmail.com.

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Post Tue Jun 23, 2015 6:25 pm
Maybe just .6r = 300. Then multiply both sides by 10, so 6r = 3000 and r = 500.

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