He spent 200*2=$<<200*2=400>>400

There were 200*.2=<<200*.2=40>>40 tickets

Of those 40*.8=32 are 5 dollar winners

So they win 32*5=$<<32*5=160>>160

He has 40-32=<<40-32=8>>8 other winning tickets

Of those 8-1=<<8-1=7>>7 wins $10

So they win 10*7=$<<10*7=70>>70

So he won 5000+70+160-400=$<<5000+70+160-400=4830>>4830

# Answer

4830
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
James buys 200 lotto tickets for 2 dollars each.  Of those tickets 20% are winners.  80% of the winners are for 5 dollars. 1 ticket is the grand prize of $5,000.  The other tickets win an average of $10.  How much did he profit?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
4830
James buys 200 lotto tickets for 2 dollars each.  Of those tickets 20% are winners.  80% of the winners are for 5 dollars. 1 ticket is the grand prize of $5,000.  The other tickets win an average of $10.  How much did he profit?
train