Where is that Doller

Written on 11:58 pm by Vja Students

Three men stay at a hotel for the night. The innkeeper charges thirty dollars per room per night. The men rent one room; each pays ten dollars. The bellhop leads the men to their room. Later, the innkeeper discovers he has overcharged the men and asks the bellhop to return five dollars to them. On the way upstairs, the bellhop realizes that five dollars can't be evenly split among three men, so he decides to keep two dollars for himself and return one dollar to each man.At this point, the men have paid nine dollars each, totalling 27. The bellhop has two, which adds up to 29. Where did the thirtieth dollar go?

Answer: The mistake is in how the thirty dollars are accounted for. The two dollars that the bellhop has are part of the 27 the men have paid. A correct accounting of the money is that 27 dollars were paid and three dollars were not, totaling 30 dollars.

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4 Comments

  1. Vithya |

    This is a relatively easy one!!

    The three guys gave 27 dollars as rent,that includes the money given as a tip to the bellhop,the remaining 3 dollars is returned to them,and they take 1 dollar is.So there is no question of the lost dollar!!

     
  2. Aditya Panse |

    This is a classic puzzle always used to confuse CA students. Clear thinking can get us out of the mess.

    Here it goes:

    Initially, $10*3=30

    Then, once hotelwallah realises the mistake, it is $5/3 = 1.67 (per person)

    But, due to bellhop's intelligence, they are only getting $1 back, and giving $0.67 each as "tip" as vithya has pointed out.

    So, 0.67*3 = $2 (i am rounding off here, pl note)

    Here is final tally:

    (10-1.67)*3 = $25 --> to hotellier
    1*3 = $3 --> Refund to those guys
    $2 --> the deserving bellhop!
    Total 30 ... Tally!

     
  3. hifun |

    actually there is a genral rule of mathematics--
    if u add then continue to add and if subtract then continue to subtract

    eg.let me count my fingures by subtraction and addition--
    10,9,8,7,6 now i add 5
    now total is 11..
    in the above question same thing is done---

     
  4. Ankur |

    quite an eazy one the ans is already told by the above guys
    25 to manager
    3 to guys
    2 to the bellhop
    30 in all

     

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