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Thread: How smart are you-lets see how many get the right answers

  1. #1
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    Default How smart are you-lets see how many get the right answers

    A traveling salesman who had spent several nights in a little
    upstate New York hotel asks for his bill. It amounts to $30
    which he, being a trusting soul, pays without more ado. Right
    after the guest has left the house for the railroad station the
    desk clerk realizes that he had overcharged his guest $5. So he
    sends the bellboy to the station to refund the overcharge to
    the guest. The bellhop, it turns out, is far less honest than his
    supervisor. He argues: "If I pay that fellow only $3 back he
    will still be overjoyed at getting something he never expectedand
    I'll be richer by $2. And that's what he did.
    Now the question is: If the guest gets a refund of $3 he
    had paid $27 to the hotel all told. The dishonest bellhop has
    kept $2. That adds up to $29. But this monetary transaction
    started with $30 being paid to the desk clerk. Where is the
    30th dollar?


    A used-car dealer complains to his friend that today has been
    a bad day. He has sold two cars, he tells his friend, for $750
    each. One of the sales yielded him a 25 per cent profit. On the
    other one he took a loss of 25 per cent. "What are you worrying
    about?" asks his friend. "You had no loss whatsoever."
    "On the contrary, a substantial one," answers the car dealer.
    Who was right?


    Now,lets see whos awake,whos asleep & who has some intelligence
    A pessimist is a man who thinks all woman are bad. An optimist is a man who hopes they are

  2. #2
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    turmoil117 is offline Donating Member
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    Ill come back to the first one, lets look at the 2nd one..

    2 cars - $750 each.
    Car 1 made a 25% profit, so that ment he only paid $ 600.00 for the car ($600x25%=750)
    Car2 made a 25% loss, so that ment he paid $ 937.50 for the car ($750x25%=937.50)

    Now to break it down..

    600 + ? = 750.. that would be $150
    937.50 - ? = 750.. that would be $ 187.50

    So the loss he occurred is $ 37.50
    VS V8 Manual ... Reppn it for NZ

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    1 is stupid.

    2 is just maths
    Quote Originally Posted by hakhawk View Post
    there are more pressing issues on the site, like choosing between vl's and potatos.


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    1. Clerk (who represents the Hotel) still has the $25, The Guest has $3 (part of the refund he was owed), and the Bellboy has $2 (which he kept for himself, not for the hotel). The guest hasn't actually paid $27 to the hotel as such, he has only paid $25 to the hotel (and $2 to the bellboy, and the other $3 is in his [the guest's] own pocket).
    Last edited by madrx3boy; 09-08-2011 at 04:00 PM.

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    For the first one, it's more how it's worded than any sort of actual problem.

    The $27 paid to the hotel includes the bellhops $2.
    Quote Originally Posted by hakhawk View Post
    there are more pressing issues on the site, like choosing between vl's and potatos.


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    paid $30
    price was actually $25 for room,man wasnt aware
    manager refunded $5
    man gets $3 back so man had actually paid $28
    bellboy keeps $2
    now = $30

    so basically
    room was $25
    man given $3 = $28
    bellboy took $2 = $30
    total = $30
    its how its worded,sound about right?

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    1. It adds up to 30. Just the way the question is worded throws people off track and is designed to make them miscount it time and time again

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    A few frustrated people with no answers,a few almost right as well as right answers & a few just completely way off
    Will wait a bit longer & see what other answers come up
    A pessimist is a man who thinks all woman are bad. An optimist is a man who hopes they are

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    eh i started to think, do the math and then just cbf anymore haha
    Quote Originally Posted by showbags View Post
    Seriously dude, that threads over 4 years old. Did they give you a shovel when you joined up.

  11. #11
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    Answer 1:The desk clerk received $30 minus $5, that is,
    $25; the bellhop kept $2; that is altogether $27 on one side of
    the ledger. On the other side are the expenses of the guest,
    namely $30 minus $3, also equalling $27. So there is no deficit
    from the bookkeeper's angle, and no dollar is missing. Of
    course, if you mix up receipts and expenses and add the guest's
    expenses of $27 to the dishonest bellhop's profit of $2, you end
    up with a sum of $29, and a misleading question.

    Answer 2:The dealer was right. The car that brought him a 25 per cent
    profit cost him $600 (because 600 + 25% = 750). The other car on
    which he lost 25 per cent cost him $1,000 (because 1,000 - 25% =
    750). So the dealer paid a total of $1,600 for two cars which he sold
    for $1,500, causing him a loss of $100.
    A pessimist is a man who thinks all woman are bad. An optimist is a man who hopes they are

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    Now the question is: If the guest gets a refund of $3 he
    had paid $27 to the hotel all told.

    So hotel gets 30less 5 or 25, bellhop 2, and the client the refund of 3.

    What cant you count ?

    2.

    percentages are cumulative. so 25% profit is based on a number less than 750 plus a percentage. So the 'base' number is less than 750 dollars. 25% loss is based on a number greater than 750 less a percentage, so the base number is more than 750.

    Thats why percentages in terms of profit and loss are not trusted in industry. Those of us with any brains work in GM - Gross margin, which is an actual dollar value.

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