Let's set the original price of profit sweater X and the original price of loss sweater Y.

( 1+20%)X = 60 1.2X = 60 X = 50

( 1-20%)Y=60 0.8Y=60 Y=75

The original price of two sweaters is 50+75= 125 yuan.

The price is 60+60= 120 yuan.

So I lost five dollars.