It looks good. That one is cleaner. You don't have so many extraneous words. It's easier to read. :D
The term you are looking for is crime rate. For example:The crimes are growing every day in our city. Most of the criminals are not caught by the police, and the rest of then are sent to the prison.
- The crime rate has been going up on a daily basis.
- The crime rate has been steadily going up.
For the second sentence you want to say something like most crimes go unpunished or criminals are arrested and convicted for only a fraction of the crimes they commit.
I've got to go do something now.