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Riddle #7: Missing Dollar

Discussion in 'BBS Hangout' started by cmellon, Feb 19, 2003.

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  1. cmellon

    cmellon Member

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    Warning: Do not read other posters' comments unless you give up since it usually contains the answer. Clutchcity.net posters are very smart.

    A simple one to start:

    You and two of your friends watched yesterday's Rockets-Lakers game at LA. However, none of you has any relatives, so you guys had to stay at a hotel.

    With the advent of Internet, everybody is competing on price.
    You logged in to priceline.com and got a good hotel with a very cheap $30/night rate (assume including taxes and everything).

    Since you shared the cost with your friends equally, each of you paid $10. To your surprises, the hotel manager decided to give a further $5 discount.

    Since you guys had problems splitting the $5 discounts among the three of you, each of you decided to take only $1 (for a total of $3), and left the remainder discount ($5-$3=$2) as a tip.

    Each of you initially paid $10 (for a total of $30) and each of you received $1 back, that means each of you paid $9 (for a total of $27). Add this with the $2 tip to the housemaid, and you come up with $29 instead of the initial $30.

    Where does the $1 go? Or is there anything wrong with the calculation?
     
    #1 cmellon, Feb 19, 2003
  2. drapg

    drapg Member

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    It's faulty logic.

    When the men get $1 back each, they've now paid $27, not $30 anymore, so the figure should add up to $27, not $30.

    And it does add up to $27. The hotel got $25 and the bellboy got $2.

    $25+$2 = $27, which is how much the three men paid total ($9 each)
     
    #2 drapg, Feb 19, 2003
  3. Castor27

    Castor27 Moderator
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    Your calculations are messed up. if the original price is $30 and they get a $5 dollar rebate then the price is $25+the $2 tip to = $27 you added the tip twice.

    CK
     
    #3 Castor27, Feb 19, 2003
  4. cmellon

    cmellon Member

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    drapg and CK got it.

    Too easy, heh..heh...
     
    #4 cmellon, Feb 19, 2003
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