Gym near Saint-Germain area?

I will be traveling to Paris in September with my parents. We would love to stay in Saint Germain/Latin Quarter. We have found many beautiful hotels in our price range (150-300 euro for a triple), but unfortunately, none of them have a gym or fitness center.

I know this is a tall order for Paris, my father is in light physical therapy, and basically just needs to be able to ride an exercise bike every morning. And suggestions on a REASONABLY priced hotel with a gym?

Alternatively, a health club or fitness center in the area where where he could buy his way in for under 20 euro a day?

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The Lutetia Hotel**** (www.lutetia-paris.com) has a spa and fitness center. I believe, it%26#39;s pretty new, but probably more expensive than just 20€.

Also, I don%26#39;t know whether it can be accessed, if you%26#39;re not staying there. You may want to e-mail them and ask. If the answer is yes, try to stay in a less expensive hotel nearby, i.e. in the Sèvres-Babylone area close to Le Bon Marché. BTW, an excellent hub for métro and bus.

There are two hotels in the pretty quiet Rue Chomel nearby. Hotel Lindbergh** (www.hotellindbergh.com) and Hotel Chomel*** (www.chomel.com), 7th, but on the edge to the 6th.

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Thanks. Looks like Lutetia is booked though. Oh well, we may stay at the K+K Cayre, which has a small gym.