What do you mean when you say the "rams were broken'. Was there actual physical damage, or were they just not working correctly?
Don't pay the guy if he's billing you for the cost of repairing the RAM! If they were under warranty there will be no repair/replacement charge.
Also, if they were physically damaged the service center would not have accepted them.
Also, the repair guy should have told you about the costs before billing you, and not after. Maybe they're his service charges for coming to your place, opening your computer, etc etc. But still, he should have made you aware.
--- Updated Post - Automerged ---
You can't break the RAM sticks by trying to insert them. There is only one way they will fit in the socket. There is a notch in the socket which lines up with one on the RAM stick. Align them, and insert the memory sticks. Once you've pushed them in, the tabs at the ends of the socket will automatically close, and you'll hear a click.
Disconnect the power cord, touch something metallic to discharge any static electricity, don't use too much force, align the sticks to the notch, push the ram in and make sure they've been inserted properly and evenly (the gold fins should be invisible), and the tabs at the ends of the ram socket are closed, and then boot up your computer.
One your computers started download a program called 'memtest' and run it. If it passes the test, your memory is fine.
It's pretty hard to get wrong.