Laptop isn't turning on. Model : Dell Studio 1555

I have a dell studio 1555. Purchased 5 years ago. The warranty has expired and the battery doesn't work. So I operate it on the charger all the time. But suddenly, my laptop isn't turning on. The light which shows the connection of the charger isn't glowing either. I'm assuming that the charger isn't even getting detected. The same problem happened yesterday, and it turned off suddenly. But after an hour of trying, the charger got detected and it worked. Again today, it suddenly turned off. And hasn't been working ever since. The same issues of charger not getting detected I guess or whatever. Could I get some help please ? What should I do now ?