The price is based on supply and demand. We had this case with India and China too before they close their exchanges. If for example India had a high demand for bitcoin then you will see a 5-10% higher price compared to International price in the other exchanges. It's totally normal, If you could manage to register there and somehow sell your coins then you could actually make this profitable for you.
Yes, you might think that exchange, where you do buy and sell, is doing a game with bitcoin price. It's not like that. All have their respective formulas, and the formula base is almost the same, ie the position of demand and supply, so that it can affect the price rise and different from other exchange. Not only that, the price difference between the exchange is also influenced by the trading habits of its users, as well as the difference in the currency rate at which the exchange place operates. So if you send your bitcoin to a higher-priced exchange you will be surprised to see results that are not so different from the previous exchange price.