Where is the $ 1?

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  1. jacobkuttyta profile image31
    jacobkuttytaposted 6 years ago

    Where is the $ 1?

    Three people staying in a rented place.  They pay $10 each foe a month.  Total $30 a month as rent.The rent has been collected by the Landlord's servant.   Landlord has compassion on his servant and pay him $5 for his service out of $30.

    As a good servant, he kept $2 with him and return $1 each to the tenants.

    After receiving $1 from the servant, the total amount paid by the tenants is $9 each.

    Now the question is where is the one dollar out of $ 30 if you calculate in this way.

    3  people paid x $9 each  = $27 + $2 (kept by the Servant) = $29

    Where gone the $1 out of the total $ 30?

  2. dezalyx profile image95
    dezalyxposted 6 years ago

    In the first scenario, the landlord gave away $5 to the servant. So the landlord gets a net of $25 from renting out his place.

    When you changed the scenario with each tenant paying $9 each, the landlord gets a total of $27. If he wants to keep the same amount of $25 from the first scenario, he can only give $2 to the servant, which is the same amount he received in the first case.

    You are looking for the missing $1. Instead of adding $2 to the $27, you should have subtracted it.

  3. FBNaturalR profile image60
    FBNaturalRposted 6 years ago

    $10 * 3 = $30
    $30 - $5 = $25  =>  $30 = $25 + $5
    $5 = $2 + $1 + $1 + $1
    $30 = $25 + $2 + $1 + $1 + $1
    $27 = $25 + $2  =>  $27 - $2 = $25

    If they each paid $9, for a total of $27, and the servant kept got $2, then the rent total comes to $25 that the landlord received.  Looking at the equations above, there is no reason to add $2 to the $27, just as dezalyx says.  You should subtract $2 from $27.

  4. profile image0
    mynameisstefanposted 6 years ago

    Basically, you're looking at the question all wrong in the last part, where the missing dollar "disappears".

  5. SidKemp profile image90
    SidKempposted 6 years ago

    Work this out as an accounting problem, and it turns out to be fun. The answer is that the $30 never existed!

    Each person paid $10, but got $1 back. So the real rent is $27, not $30. (Incidentally, the landlord kept $25 and gave the servant $20.)

    If the servant had not returned the $3, then the rent would have been a total of $30, with the Landlord getting $25 and the servant getting $5.

    So, essentially, the servant turned the total rent figure from $30 to $27 by returning $3, $1 to each tenant.

    So, the question is not "Where is the $1?" The question is "Where is the $3?" and the answer is "returned to the tenants, $1 each."


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