Speaking from personal experience, the challenge for doing this in developing nations is that the hard part is being connected enough to a market to know if something can be built in three months that people will pay for. If you're in a developing nation intending to sell to America, you're probably not as close to your users as you need to be because products tend to change rapidly in the early stages of a startup and you need to be interacting directly with potential users and learning from them.
But the money does go 10 times as far, so the idea could have potential. $25K can roll a startup for a year or more on the cheap in Bangalore.