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OG 2016 Percentage Question

This topic has 3 expert replies and 0 member replies
staunchMBAican Newbie | Next Rank: 10 Posts Default Avatar
Joined
18 Jun 2015
Posted:
5 messages

OG 2016 Percentage Question

Post Thu Jun 18, 2015 10:08 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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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    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

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    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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    Thanked by: talaangoshtari
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    GMAT/MBA Expert

    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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