India is struggling with implementing solutions to issues that appear to be more-or-less solved for other countries; such as a working road network, public transport in most cities, picking up and distributing food harvests and a 24-hour supply of electricity. If a mission to Mars might provide fundamental insights into solving such issues, other countries seem not to have needed them.
Added later: I don't believe this mission to Mars has nothing to do with good old South Asian jingoism, and outdoing the geographical neighbour I shall not name.
There's also the cultural difference. India is steeped in culture and religion that dates back farther than pretty much any other developed (or even developing) country.
I'm not giving an opinion on whether this is good or bad, just pointing out that straightforward solutions in other countries may not necessarily apply here.
We are also struggling with a massive brain drain. Such missions are going to inspire an entire generation and maybe create a sense of satisfaction and achievement. I, for one, do not doubt the importance of those in nation building.
Extrapolating from the words of Dr N D Tyson, the total spending on such space missions is not as high as we may think it is. India's GDP is good enough to not look at a space mission with a jaundiced eye.
Strawman. I'm not suggesting dropping everything. I'm only opining that a mission to Mars should be of lower priority than fulfilling basic infrastructure needs, which may be a source of satisfaction to a larger chunk of the population than the much smaller elite that can actually understand what a mission to Mars is all about.
Do consider then, that the projected cost of this space mission IS far lesser than what India spends on lot of the basic infrastructural needs that you point out are missing. They are missing, yes, but if you only look at present day snapshot it won't give you the entire story. However marginal it might seem, especially to a first-world citizen (I mean no sarcasm when I say this) education is getting better every year, employment is on an average getting better. Agricultural outputs are worrying but we have had massive monsoon shortages of late.
Almost everywhere the situation is made worse by corruption at every level. But we can't stop trying to fix things. As someone else points out on this thread, in the grand scheme of things this is an insignificant cost. FWIW some really intelligent high-school students might just decide their future based on news of such missions.
And this money does not magically dissipate - a lot of it effectively functions as subsidies to create high-tech jobs in the country, and a decent chunk of it will find its way back into government coffers as tax.
Demonstrating the ability to send probes to Mars could also do wonders for Indian companies that wants to compete for international satellite launch business, for example.
It could be a waste, but it could also very well turn out to have a good enough ROI to increase the amount of cash available for basic infrastructure needs.
And finally, snarky for sure (assuming you're american), but people in glass houses etc. America has a large population of poor yet still finds room to spend 500bn a year on defense (whilst only a paulty few cents for NASA)
Right, because the other nations sending probes into space solved all of their other problems first...
I could come up with a million reasons why government money spent on space research is a bad idea, but the reasons you gave aren't on the list.