My cammera (DSC-F717) has problems charging the battery

Hello. I have a Sony DSC-F717 that has a problem charging batteries. The cammera works fine as long as it is connected to the wall, it turns on and everything. But if I turn it off, the charge button wont light up and it wont charge the battery. I believe that the cammera is not having contact with the battery, or maybe the whole battery charging system is busted. Have you encountered this problem before? How much would it cost to repair this type of problem ( An estimate, you dont have to be specific)? Is it in the $100s, $200s?

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