By all means, let them know the quality of hair that you are using.
You might supply a standard, luxury, and deluxe.....
You could give them a choice of say, bronze, silver or gold.... and let them choose.
Price does not ALWAYS guarantee quality.
Nail techs, hair colourists, Make-up artist.......would not be giving the client a break down of what the service costs them.
.
When we retail, we don't tell the client what we've bought that product in for......
We are providing a service, which we expect to earn a living from.
If the client feels your price is too high, they can find someone with a price point more suitable to them