Is it against the rules for the gym to suddenly cut prices?

Not illegal.

It is not illegal for the gym to suddenly cut prices. In commercial activities, price adjustment is a common market behavior, and enterprises have the right to adjust the price of products or services according to market demand, competition and business strategy. For consumers, this kind of price reduction is beneficial and they can get more affordable purchase opportunities. Consumers who used to buy goods or services at exorbitant prices will feel psychologically unbalanced. In order to alleviate this emotion and maintain good customer relationship, the gym can consider taking some compensation measures to respond to consumers' previous concerns and complaints.