Does learning economics lead to richness? I have started to learn economics from Adam Smith's "Wealth of nations" because I think that learning economics (or narrow fields of it) will allow me to become rich.

Does knowing economics allow me to make money?
First things first, we must dispel the misconception that you will find in economics some magic formula to "beating the stock market" or some other way to make easy money. I explain why why here.

Learning economics can help you to become more wealthy in several prosaic ways:


In the same way that learning to be a doctor or lawyer can make you rich. If you have useful skills then people will pay you to use your skills to help them. Professional economists are employed in the government, academia, and the private sector and are generally well-paid.
Learning economics will also teach you to be a more logical and systematic thinker, which is likely to make you better at all kinds of intellectual tasks—including those not directly connected to economics. Again, this is likely to improve your future earnings potential.
Many ordinary people do truly stupid things with their money. Economics will not generally teach you about these things (better to read about personal finance, as Arthur Tarasov suggested), but it will teach you to be more savvy in matters of money and help you to avoid the pitfalls.


Note that none of these three things are specific to economics. You would do just as well to learn medicine and read a beginner's guide to investing. Some advice in my capacity as an 'old guy' rather than an economist: if you want to become rich then find a career that pays good money and that you will enjoy and work hard at it.



Final remark: If you really want to learn economics then reading Adam Smith is probably a pretty bad way to start. That is like trying to learn English by reading Shakespeare. Much better to start with a modern introduction to the subject (I am fond of "Intermediate Microeconomics: A Modern Approach" by Hal Varian).