self Maths Puzzle

3 men go into a Hotel.
The man behind the desk said the room is $30, so each man paid $10 and went to the room.
A while later the man behind the desk realized the room was only $25, so he sent the bellboy to the 3 guy's room with $5.
On the way the bellboy couldn't figure out how to split $5 evenly between 3 men, so he gave each man a $1 and kept the other $2 for himself.
This meant that the 3 men each paid $9 for the room, which is a total of $27, add the $2 that the bellboy kept = $29.
Where is the other $?

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self Other Question

A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is 'a', the number of 5's that he uses is 'b' and the number of 8's he uses is 'c'. What is the value of b+c-a?
Find the unit's digit in 264102+264103