How much money is put into video game designing?

It can vary from gaming genre.
You can have a game made within 15 million dollars to 250 million dollars.
A small multiplayer game can range from 15 to 30 million dollars.
A full scale multiplayer game can range from 100 million to 200 million dollars.
It would depend on the kind of experience the people are having on building the game.
Also if its a full fledged full scale multiplayer game then there will be services and a lot of servers involved.
Hence just a range of small game development to full fledged high quality game can range from 15 million dollars to 250 million dollars.
There is a site that gives you a general idea for the Canadian region. You can read through it and compare the current cost in your region.
This is the link: http://vgsales.wikia.com/wiki/Video_game_costs

Check the article below.

https://www.quora.com/How-much-does-it-cost-to-develop-a-video-game