Solution: If the clothing price is X yuan (x-80), then the profit of each piece is (x-60) yuan, the sales price is increased by (x-80) yuan, and five pieces (X-80) are sold less each month, and the actual monthly sales volume is [400-5(x-80)] pieces. According to the meaning of the question, the equation can be listed as follows:

(x-60) [400-5 (x-80)] =12000 Solving the equation.

(x-60)(800-5x)= 12000 Both sides of the equation are divided by 5 at the same time.

(x-60)( 160-x)=2400 The brackets have been removed.

160x-x？ -9600+60x=2400 Move items and merge them.

x？ -220x+ 12000=0 decomposition

(x- 100)(x- 120)=0

X- 100=0 or x- 120=0.

X= 100 or x= 120.

A: When the clothing price is 100 yuan or 120 yuan, the estimated profit is1.2000 yuan.