With the Bike pass Zermatt (1-7 days) you are entitled to unlimited ascents to the stations:
*On the Gornergratbahn bikes are transported from 8 - 9.12 a.m. (from Zermatt) and from 3.30 p.m. A reservation for a fee (CHF 10.00 per bike) is required. Reservations can be made here.
The amount of the reduction depends on the date of birth. Offical ID showing date of birth required.