After increasing the price of a piece of jewelry, the price increased from $30 to $30+$10 = $<<30+10=40>>40 each.
He also increased the price of each painting by 20/100*100 = $<<20/100*100=20>>20
The total price for buying one painting at the new price is $100+$20 = $<<100+20=120>>120
If a buyer purchases two pieces of jewelry, the total cost becomes 2*$40 = $<<2*40=80>>80
When the buyer also buys 5 paintings, he pays a total of $120*5 = $<<120*5=600>>600
2 pieces of jewelry and 5 paintings cost $600+$80 = $680 at the new prices.
#### 680