Owais Adurkar,
Hello, Owais, So far as we know, a rent-a-bike business is legal in Mumbai. Nevertheless, we would advise you to consult a lawyer and make sure this is the case, because different RTOs and government bodies have different stances on this across the country. A lawyer would also be able to guide you when it comes to the various permissions and licences you might need to obtain. We wish you good luck for your venture.