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Retailers question

This topic has 2 member replies
ben wade Senior | Next Rank: 100 Posts Default Avatar
Joined
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Retailers question

Post Sun Aug 09, 2009 3:42 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Q. In a survey of retailers, what percent had purchased computers for business purposes?
    (1) 85 percent of the retailers surveyed who owned their own store had purchased computers for business purposes.
    (2) 40 percent of the retailers surveyed owned their own store.

    OA: E

    But i am getting C.
    Here is the way i did it.
    Let CB - Retailers who purchased computers for business purposes.
    S - Retailers who own stores.
    T - Total number of retailers surveyed.
    We need to find [CB/T]

    ST 1: 0.85S = CB

    ST 2: 0.4T = S

    Hence, when the 2 statements are combined.
    CB/T = 0.85S/ (S/0.4); CB/T = 0.85(0.4)

    Can someone please point out the error in this?

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    Turnpike Senior | Next Rank: 100 Posts
    Joined
    08 Apr 2009
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    Test Date:
    3rd Oct., 2009
    Target GMAT Score:
    730
    GMAT Score:
    700
    Post Sun Aug 09, 2009 4:11 am
    First let me go with option 'C' and see what the result is.

    let the total number of retailers surveyed be 100.

    (2) tells us that 40 of them own their own stores
    (1) tells us that 85% of those 40 (who own their own stores) purchased computers. that's 34 retailers.

    so u think you got the answer?

    no, you didn't Wink

    read the question again. just the question.

    Q. In a survey of retailers, what percent had purchased computers for business purposes?

    is it asking you the percentage of those retailers who own their stores?

    no, it isn't.

    It's asking you about ALL the retailers!!!

    that's not just the 40 of those who own their stores, but also the other 60 who don't.

    the 34 are those who own their stores and have bought computers. we don't know how many, if at all, of those who don't own their stores bought computers. Smile

    so the answer is E.

    it's a great question. not so much quant aptitude as it is about understanding what's been asked for.

    thanks for sharing Smile

    good luck.

    ben wade Senior | Next Rank: 100 Posts Default Avatar
    Joined
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    Post Sun Aug 09, 2009 4:21 am
    Thanks for the reply turnpike.
    The source of this question is the Diag test of OG 12. After looking at the OG explanation, I sort of figured my mistake. But i wanted to confirm whether that understanding was correct.

    Your clear answer resolved it for me. Thanks once again.
    This question is a good example of the GMAT traps.

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