If you want to swim near Bed and Chai, there is the Pacific sport Complex : it is at 5 minutes by rickshaw. One entry ticket for the public swimming pool costs 350 rupees. I totally recommend this place : it is clean, and not crowded if you go in the morning or in the afternoon (avoid to go to the swimming pool at around 6pm…). The pool is Olympic (50 meters) so it is very pleasant to swim there! Women, try to wear a one piece swimsuit.
You can also go to a hotel and enjoy the swimming pool for the day, paying a fee. In the Park Hotel, 15, Parlement Street, you can pay 700 INR + taxes (around 25%) for the day. In the Hotel Crowne Plazza Delhi Okhla, the entry fee for the day is 1000 INR + taxes (around 15%). In the Hotel Samra the entry fee is approximately 450 INR+ taxes. Last but not least, the entry fee for the Hotel Shangri La is 1000 INR+ taxes (around 15%). It is quite expensive but you can relax in the amazing pool and garden you can have a drink there.