2. The school organizes teachers and students to watch movies. There are 950 students and 27 teachers. The theater ticket office said:
Please design a ticket purchase plan that you think is the most economical and work out how much it costs to buy a ticket.
A shop deals in a commodity. Because the purchase price is reduced by 5% and the selling price remains unchanged, the profit rate is increased from m% to (m+6)%. What is the value of m?
4. A math contest was held in the first day of a school, and 80 people signed up for it. The overall average score of the contest is 63, the average score of passing schools is 72, and the average score of failing students is 48. What is the passing rate of this contest?
5. There is a three-digit number, and its unit number is 1 more than hundred digits, and the ten-digit number is 1 less than half of the one-digit tree word. If the single digit is regarded as hundreds, the hundred digits as tens and the tens as single digits, then the sum of the new number and the original number is 16 165438.
6. One of the six figures is 2. If the number 2 in his single digits is moved to the first place, the order of other digits remains the same, and the new number is the original number. Can you find the original six figures?
7. Dahong and Xiaohong received lucky money of *** 1000 yuan in the New Year. Dahong deposits his lucky money in the bank according to one-year education savings, with an annual interest rate of 1.98%, which is exempt from interest tax; Xiaohong bought his lucky money as a bond with a monthly interest rate of 2. 1.5 ‰, but he had to pay 20% interest tax. After a year, the income of the two people is exactly the same. How much is their lucky money?
8. Pour the water into a rectangular iron box with the length, width and height of 16cm, 10cm and 5cm respectively, and the bottom of the box is 20cm×20cm (filled with water). When the iron box is filled with water, how much does the height of water drop in the rectangular container?
9. The purchase price of a commodity in 800 yuan is 1200 when it is sold. Later, due to the backlog of this commodity, the store was prepared to sell it at a discount, but how much discount should it be to maintain a profit margin of 5%?
10, there is a narrow crossing that allows one-way traffic. Usually, you can pass 9 people every minute. One day, Mr. Wang came to the crossroads. At this time, there are 36 people waiting to pass in front of him (assuming first come, first served, ignoring Mr. Wang's crossing time). It takes seven minutes to get to school after crossing the intersection.
(1) If you make a detour at this time, it will take 15 minutes to get to school. In order to save time, should Mr. Wang choose a detour or a crowded intersection to go to school?
(2) If, with the maintenance of Mr. Wang and others, the order returns to normal in a few minutes (during the maintenance of order, if three people pass through the crossing every minute), Mr. Wang asks how long it will take to maintain order through the crossing six minutes earlier than in crowded situations.