Reduce the price by x yuan
Then the daily sales volume is100+(x/2) * 20 =100+10x.
Then the daily profit = [(60-x)-40)] * (100+10x) = 2240.
= = = & gt(20-x)* 10( 10+x)= 2240
= = = & gt(20-x)*( 10+x)=224
= = = & gt200+ 10x-x^2=224
= = = & gtx^2- 10x+24=0
= = = & gt(x-4)(x-6)=0
= = = & gtX=4 or x=6
In other words, if 4 yuan and 6 yuan reduce their prices, they will both make a profit of 2240 yuan.
(2) Make it as convenient as possible for customers, and the price will be lower.
So we should choose to reduce the price in 6 yuan.
The price at this time is 60-6=54 yuan.
54/60=0.9
So it is sold at 10% off the original price.