A shopping mall used 360000 yuan to buy two kinds of goods a and B, and made a total profit of 60000 yuan after sales. The purchase price and selling price are as follows: ab purchase price (yuan / piece) 12001000, selling price (yuan / piece) 13801200 (1) how many pieces of goods a and B were purchased by the shopping mall; (2) the shopping mall bought two kinds of goods a and B at the original purchase price for the second time. The number of pieces of goods B was the same, while the number of pieces of goods a was the first If the two commodities are sold at a discount, and the profit from the second operation is no less than 81600 yuan, how much is the lowest price of B commodity?

A shopping mall used 360000 yuan to buy two kinds of goods a and B, and made a total profit of 60000 yuan after sales. The purchase price and selling price are as follows: ab purchase price (yuan / piece) 12001000, selling price (yuan / piece) 13801200 (1) how many pieces of goods a and B were purchased by the shopping mall; (2) the shopping mall bought two kinds of goods a and B at the original purchase price for the second time. The number of pieces of goods B was the same, while the number of pieces of goods a was the first If the two commodities are sold at a discount, and the profit from the second operation is no less than 81600 yuan, how much is the lowest price of B commodity?

(1) Let's buy x items of a and Y items of B. according to the meaning of the question, we can get 1200X + 1000y = 360000 (1380 − 1200) x + (1200 − 1000) y = 60000, simplify to 6x + 5Y = 18009x + 10Y = 3000, and get x = 200y = 120 The profit from selling out should be no less than 81600-72000 = 9600 (yuan). If the selling price of B commodity is Z yuan, then the solution of 120 (z-1000) ≥ 9600 is Z ≥ 1080, so the lowest selling price of B commodity is 1080 yuan