( 1)

This winter vacation, my mother and I walked in the busy street, and the promotional signs of "200 for 200" were everywhere. Consumers flock to shopping malls, which are crowded with people, and snapping up is a common occurrence. In fact, the merchants have already laid their wishful thinking in their hearts. As the saying goes, only buy at a loss, don't sell at a loss, and "sending 200 yuan coupons for over 200 yuan" is just a sales promotion method for merchants, which hides mathematical problems.

Just say that 200 yuan sent a shopping voucher to 200 yuan. My mother first bought a cashmere coat from 490 yuan and gave a shopping voucher from 400 yuan. At this time, we got a shopping voucher from 400 yuan, which gave us a feeling of bargain hunting, so we had a strong desire to buy it, and wanted to spend it as soon as possible (shopping vouchers of ordinary merchants are limited in consumption, and will expire if they are not consumed within a certain period of time). So we spent 248 yuan on a pair of shoes, and bought a scarf with 128 in the remaining 150 yuan coupon. So how much cheaper do we buy things? I calculated 128+248+490=866 (yuan), which I need to spend without any discount. 490/866, the discount is about 56%. And I think the merchants must raise the price first and then sell it, and then make a 56% discount, and the merchants still make a lot of money!

(2)

At the end of this year, Jinboda Shopping Center opened in our city, just opposite the shopping center in the old city of our city. During the Spring Festival, Jinboda Shopping Center implemented prize sales: the grand prize 10000 yuan, the first prize 1 yuan, the first prize 2 yuan, the second prize 100 yuan, and the third prize 25438+00 yuan 5 yuan. Let's think about it; Which sales method is more attractive? Which commercial building is of great benefit to consumers?

This is another problem, which we can't see at a glance. In practical problems, there is no limit to the turnover of each group of prize-winning sales and the number of people participating in the lucky draw in Jinboda Shopping Center. So there should be several answers to this question.

Analysis: (1) If Jinboda Shopping Center decides to draw a lottery in a unit time, when the number of participants is less than 213 (112+/kloc-0+200 = 213), people will think that. (2) If a shopping mall decides to draw a lottery in a unit time, and there are many consumers in a unit time, then the preferential margin it gives customers is correspondingly small. Because the discount offered by Jinboda Shopping Center is fixed, * *14000 yuan (10000+1000+1000 =14000 yuan). Assuming that the discounts offered by the two shopping malls are 14000 yuan, we can know the turnover of shopping centers in the old city.

So from this point of view:

Answer 1: When the turnover of the two shopping centers is 280,000 yuan, the preferential amount provided by the two shopping centers is the same.

Answer 2: When the turnover of both commercial buildings is below 280,000 yuan, the discount of Old Town Shopping Center is less than14,000 yuan, so the discount of Jinboda Shopping Center is still14,000 yuan, which is a big discount.

Answer 3: When the turnover of both companies exceeds 280,000 yuan, the discount of Old Town Shopping Center is more than10.4 million yuan, while the discount of Jinboda Shopping Center remains at10.4 million yuan, which provides great benefits.

Problems like this can be seen everywhere in our daily life. Due to advertising effect, consumer psychology, holiday consumption demand and other reasons, the phenomenon of shopping malls snapping up has appeared, the flow of people in shopping malls has increased, and the sales of goods have also increased rapidly.

You see, mathematics is closely related to life, so mathematics is worth studying and exploring.