During an early season promotion, a weekend ski pass was priced at $79 plus tax at both Blackcomb Mountain, BC,
and Mont Tremblant, QC.
Round your final answers properly to two decimal places. Use HST = 12% for B.C., GST = 5%, and PST = 9.5% for Quebec.
a) How much was the ski pass priced at Blackcomb Mountain, BC?
b) How much was the ski pass priced at Mount Tremblant, QC?
c) What is the difference in total price paid by skiers at the two ski resorts?
Assuming the HST is the provincial sales tax in BC, PST is the provincial Sales tax in Quebec, and GST is a national Sales tax charged on both provinces, I would get the following calculations:
a) Initial price is $79. Add on the GST of 5% and `79+.05 xx 79=$82.95` Then add on the 12% HST `82.95+.12 xx 82.95=$92.90` The price at Blackcomb is $92.90
b) Initial price is $79. Add on the GST of 5% `79+.05 xx 79=$82.95` Then add on the 9.5% PST `82.95+.095 xx 82.95=$90.83` So the Price at Mont Tremblant is $90.83.
c) The difference is `92.90-90.83=2.07` The difference in prices is $2.07 cheaper in Quebec than in British Columbia.
BC = 79 (1.12) = 88.48
a) The ski pass at Blackcomb Mountain cost $88.48.
QC = 79 +(0.05)79 + (0.095)79 = 90.455 ~ 90.46
b) The ski pass at Mont Tremblant, QC cost $90.46.
c) The difference in the price is $90.46 - $88.48 is: $1.98
Mont Tremblant costs $1.98 more than Blackcomb Mountain.