“What problems from the far past to now has philosophy solved?”
There are a lot of problems that philosophers have solved over time, but most of them aren’t familiar to us anymore since the solutions typically allow the problems to fade from our collective interests.
To start relatively early, Zeno’s paradoxes (which raised questions about how change was possible, including basic things like motion or the passage of time) were resolved (or perhaps dissolved) by Aristotle in his Physics and Posterior Analytics. The Prior Analytics and Posterior Analytics also introduced syllogistic logic (the earliest formal system of logic), which solved both a procedural problem (by creating a shared language going forward) and revealed certain underlying relationships between sentence types that exposed certain problems with common preexisting methods of argumentation.
In fact, paradoxes in general are a good example of problems philosophy has solved. As popular as the unsolved ones are for getting people thinking, a large number of problems once considered to be paradoxes have been thoroughly dissolved.
The early modern philosophers solved an important methodological and epistemological problem regarding the acquisition of non-axiomatic knowledge by developing a method of investigating the world based on observation, measurement, experimentation, and duplication. This method is currently known as “science,” and it has turned out to be pretty useful. Also, Descartes’ Meditations refuted a particular form of radical skepticism that threatened to delay the development and proliferation of science and the scientific mindset.
Berkeley solved some very obscure theoretical problems concerning vision—none of which are relevant anymore, but all of which were hotly contested at the time.
Some would bring up Leibniz inventing calculus as another example of a philosopher creating an important problem-solving tool. But Leibniz was also a mathematician, so I tend to consider this one of his contributions to the world via mathematics (despite his view that calculus had philosophical implications). Nevertheless, he did contribute greatly to the basics of modern formal logic (which is a major advancement on Aristotle’s original syllogistic logic). This would be the beginning of a solution to the problem of how to map out claims and relationships too complicated for Aristotle’s syllogistic method to capture.
Bertrand Russell solved some of the basic problems of empty names (i.e., how we can refer to things that don’t exist).
Karl Popper overcame the limits of inductivist approaches to science by developing the falsification approach (which itself has limits, but was nevertheless an important step forward).
These are just a few off the top of my head. There are also a lot of internal problems that have been solved (Gettier’s refutation of the once-popular “justified true belief” model of knowledge; the refutation of verificationism), but many of those will be even less familiar to most than the ones already mentioned. And of course, much will depend on how we understand a problem to be “solved” (absolute proof? universal agreement? something else?).
“Or are philosophers just stringing us along to look cool, and get money selling books?”
I have never know a philosopher who got rich selling books, nor do I think most people consider philosophers to be people who “look cool.”
“I was a philosophy/psychology major 20 years ago, and I don’t know if It has been helpful to society?”
The question of whether it has been helpful to society is, I think, a much different question that what problems it has solved (though again, that depends on what we mean by “solved”). One of the most underappreciated contributions of philosophy over time has been the slow progress made with regard to moral and political questions. Though the general public is often 40 – 50 years behind the philosophical consensus—which itself is an evolving thing—philosophers are behind many of the principles that we now consider self-evident (and therefore tend to think of as not having been the product of intellectual labor). Things like democracy, human rights, and the equality of persons are all philosophical ideas that have embedded themselves so deeply into the mainstream that we don’t even think of them as such.
And of course, there is the function @YARNLADY mentioned of helping us navigate life through the use of critical thinking skills—something increasingly relevant in a world where we are constantly bombarded by arguments attempting to convince us of one thing or another (often with the most dubious of justifications). The development of this capacity in us is far more valuable than whether or not we agree on any particular solution to the liar paradox or mereological theory.