A shopping mall will sell a brand of clothing at a discount due to season change. If each clothing is sold at a 60% discount on the price, it will lose 10 yuan, and if it is sold at a 75% discount on the price, it will earn 50 yuan. Question: (1) how much is the price of each clothing? (2) How much is the cost of each garment? (3) How much discount can I get at most to ensure no loss?

A shopping mall will sell a brand of clothing at a discount due to season change. If each clothing is sold at a 60% discount on the price, it will lose 10 yuan, and if it is sold at a 75% discount on the price, it will earn 50 yuan. Question: (1) how much is the price of each clothing? (2) How much is the cost of each garment? (3) How much discount can I get at most to ensure no loss?

(1) Suppose the price of each piece of clothing is x yuan, from the meaning of the question: 60% x + 10 = 75% x-50 solution: x = 400, therefore, the price of each piece of clothing is 400 yuan. (2) the cost of each piece of clothing is: 60% × 400 + 10 = 250 yuan. (3) in order to ensure no loss, set a maximum of Y discount, from the meaning of the question: 400 × Y10 = 250 solution: y = 6.25, therefore, in order to ensure no loss, a maximum of 6.25 discount can be given The price of each garment is 400 yuan, and the cost price of each garment is 250 yuan