For foreign travellers, you no need to bring your original passport with you. To be on a safer side, you can take a photocopy of your passport and keep it in your handbag or in a wallet just in case. If a police person stops you and asks for your passport, you don’t need to show your original passport, instead, you can show the photocopy to them. Likewise, in many tourist places, they don’t ask for your passport, but any other ID proof. So you might as well carry alternative ID proof. Take a photocopy of it and keep the original safely in your hotel room.