It is understood that the clothing sales of individual clothing stores can be profitable as long as they are 20% higher than the purchase price, but bosses often bid 50% ~ 100% higher than the purchase price. If it is calculated as 100% higher, then the purchase price is 150 yuan, and the price that makes the boss profitable is150x (1+20%) =180 yuan.

If calculated by 50% higher, then the purchase price of 200 yuan, the boss's profit price of 200x( 1+20%)=240 yuan.

So the range of counter-offer is between 180~240 yuan.