India visit from Beijing. I would like to know if there would be problems with entry to China.

My flight from Vancouver stops in Beijing before continuing to Mumbai. On the return flight I have a 10 day visit in PRC before taking the flight home to Vancouver. Can I spend the entire 20 days in PRC? That is, are there any problems getting a visa for the 20 days and just not using the Beijing to Mumbai air ticket? I am a Canadian citizen and would prefer to see more as I will not be able to visit again. I am not asking for ticket refund. Thank you!