Oops , i made a mistake .

Or maybe we can try elimination .

If A strikes , then C and D are telling the truth
If B strikes , then C , D and E are telling the truth
If C strikes, Then A and D are telling the truth
If D strikes , Only C tells the truth
If E strikes, then C and D are telling the truth .

It says that only one tells the truth and only one strikes .
Thus D strikes a lottery and C is telling the truth .