From [What is Pure Mathematics?][1] :

> Finance and cryptography are current examples of areas to which pure
> mathematics is applied in significant ways.

While Pure Mathematics may not have immediate, direct applications, there are those that graduate with Pure Math degrees that do various kind of work given the skills developed in completed the courses, at least at the U. of Waterloo where I studied Combinatorics & Optimization and Computer Science.

  [1]: http://math.uwaterloo.ca/pure-mathematics/contact-information/what-pure-mathematics