Price discrimination based upon nationality

I still remember how outraged I was to read a sign declaring that foreigners have to pay $20 for entering the Taj Mahal in India while at the same time locals had to pay only a few cents. You might argue that the prices are based on purchasing power and Indians on average are poor. When my parents recently went for their skiing holidays in St.Moritz in Switzerland they were surprised to see many foreigner tourists, particularly Russians, skiing in Switzerland. This winter season was a record season for Switzerland with most hotels being booked-out for the whole winter period. So an idea struck me: let's charge extremely wealthy foreigners more for using our tourist infrastructure. That would be only fair, wouldn’t it? Russians for example, who love anything pricey and exquisite, would even get an extra thrill out of the extra money they can shell out. The difference of price discrimination in Switzerland in comparison to India would be that one doesn't need to haggle in Switzerland. What do you think?