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Thread: problem i'm having trouble with

  1. #1
    Trying to make mom and pop proud
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    problem i'm having trouble with

    Sponsored Ad:
    A store currently charges the same price for each towe that it sells. If the current price of each towel were to be increased by $1, 10 fewer of the towels could be bought for $120, excluding sales tax. What is the current price of each towel?
    (A) $1
    (B) $2
    (C) $3
    (D) $4
    (E) $12

    I don't understand the phrase "10 fewer of the towels could be bought for $120" so this one completely threw me off. (Taken from PowerPrep CAT 2)

  2. #2
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    Re: problem i'm having trouble with

    I actually worked backwards using the answer choices instead of using an equation.

    At $3, you can buy 40 towels right?
    Now if the price is increased to $4, you can buy 30 towels now for $120.

  3. #3
    Carpe Diem! shaq's Avatar
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    Re: problem i'm having trouble with

    Yes Ritesh's method is the shortcut.

    The long method is ..

    let number of towels bought for $120 = n
    so price of a single towel = $ 120 / n

    now price of 1 towel increases by $ 1
    so new price of a single towel = $ (120 / n) + 1
    no. of towel that could be bought at this price = n - 10
    so new price of a single towel = $ 120 / (n -10)

    so equating

    so (120/n) + 1 = 120 / (n - 10)
    (120 + n) / n = 120 / (n - 10)
    n^2 -10n - 1200 = 0
    (n-40)(n+30) = 0
    n = 40 or n = -30
    n= 40 = number of towels that could be bought at current price.

    => current price per towel = $ 120 / 40 = $ 3

    so ans is C

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    An Urch Guru Pundit Swami Sage gmatguy's Avatar
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    Re: problem i'm having trouble with

    ya
    even i use the plugging in method ..
    its 3

  5. #5
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    Re: problem i'm having trouble with

    Last edited by thatchanon; 12-14-2004 at 03:02 PM.

  6. #6
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    Re: problem i'm having trouble with

    Soory guy, I confused this question with another one in my test.

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