He's spending more on everything than you are.
That doesn't even things up, of course, but then neither does the current system. It would arguably be closer to even.
The beauty of a universal sales tax (as an alternative to income tax), in addition to the fact that the wealthy consume more of everything, is that a transaction tax is more difficult to lobby loopholes into.
And, of course, it potentially doesn't need as large (read expensive) a bureaucracy to manage and enforce it.
It also removes the burden of record keeping/reporting from consumers and payroll tax from employers.
A lot of people have spent time thinking about the idea. One example: https://fairtax.org/
It's not a problem free solution of course, but neither is the current one. Someday a proposal for a transaction tax might even make it out of committee.