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降价促销是商品销售中常用的一种方式.以“价减量增”销售为背景的应用题已成为2012年中考命题的亮点之一.此类题检测了考生的建模(二次方程或二次函数)思想和运动变化思想.请看下面几例:例1(2012山西省中考题)山西特产专卖店销售核桃,其进价为每千克40元,按每千克60元出售,平均每天可售出100千克,后来经过市场调查发现,单价每降低2元,则平均每天的销售可增加20千克,若该专卖店销售这种核桃要想平均每天获利2240元,请回答:1(1)每千克核桃应降价多少元?
Price markdown is a commonly used method of merchandising, and one of the highlights of the college entrance exam question in 2012 is the question of application based on the sales of “quantity minus price minus increase.” Such questions examine the candidate’s modeling Equation or quadratic function) ideas and changes in sports thought. See the following examples: Example 1 (2012 Shanxi Province in the exam) Shanxi specialty stores selling walnuts, the purchase price of 40 yuan per kilogram, 60 yuan per kilogram for sale, An average of 100 kilograms per day can be sold, then after market research found that the unit price for each reduction of 2 yuan, the average daily sales can increase 20 kg, if the store to sell this walnut average daily profit 2,240 yuan, please answer: 1 (1) How many yuan per kilogram of walnuts should be reduced?