Solution: If the price is reduced by 100 x, then each set will be priced at 3500- 100 x, and 2x sets will be sold every day.

∴ Current daily profit = (3500-100x-2500) (8+2x) = (1000-100x) (8+2x)

The original daily profit = (3500-2500) 8 = 8000.

Now the profit is higher than the original profit 12.5%.

∴ Current profit = (1000-100x) (8+2x) = 8000 (1+12.5%) = 9000.

Namely: (10-x) (4+x) = 45.

∴-x？ +6x+40=45

∴x？ -6x+5=0

∴(x- 1)(x-5)=0

∴x= 1 or x=5

∴ When x= 1, 3500- 100x = 3400.

When x=5, 3500- 100x = 3000.

The price of each set is 3400 yuan or 3000 yuan.