A store is going to sell a certain kind of clothing at a discount because of the season change. If each clothing is sold at a 50% discount on the price, it will lose 60 yuan. If it is sold at a 20% discount on the price, it will make a profit 120 yuan. What's the price and cost of this dress

A store is going to sell a certain kind of clothing at a discount because of the season change. If each clothing is sold at a 50% discount on the price, it will lose 60 yuan. If it is sold at a 20% discount on the price, it will make a profit 120 yuan. What's the price and cost of this dress

Suppose the price of the dress is x yuan, then the price of the dress at 50% of the price is 0.5x yuan, and the cost of the dress is (0.5x + 60) yuan; the price at 20% of the price is 0.8x yuan, and the cost is (0.8x-120) yuan
0.5x+60=0.8x-120
0.8x-0.5x=60+120
0.3x=180
x=600
0.5x+60=0.5×600+60=360
A: the price of this dress is 600 yuan and the cost is 360 yuan

A store will lose 20 yuan if it sells a certain kind of clothing at 50% off the marked price in the new season, while it will earn 40 yuan if it sells it at 80% off the marked price
1. How much is the price of each garment?
2. How much is the cost of each garment?
3. How much discount can we get at most to ensure no loss?

Price 200. Cost 120, 60% discount at most

A shopping mall deals with a batch of cashmere sweaters in the new season. If each cashmere sweater is sold at a 60% discount, it will lose 110 yuan. If it is sold at a 20% discount, it will earn 70 yuan. What is the price
Solve by equation

Let the original price be x and the price be y
0.6y-x=-110
0.8y-x=70
By solving this system of linear equations of two variables, we can get the price y = 900 (yuan)

A shopping mall prepares a batch of cashmere sweaters in the new season. If each cashmere sweater is sold at 60% of the price, it will lose 110 yuan, and if it is sold at 20% of the price, it will earn 70 yuan. How much is the price of each cashmere sweater? How much is the purchase price

Suppose the price of each cashmere sweater is x, because each cashmere sweater will lose 110 yuan if sold at 60% of the price, and will earn 70 yuan if sold at 20% of the price, so: 0.8x-70 = 0.6x + 110 solution: x = 900, the price of each cashmere sweater = 0.6x + 110 = 650
So the price of each cashmere sweater is 900 yuan and the purchase price is 650 yuan