The purchase price of a commodity is called the purchase price. The pre-sale price of goods is called the marked price or the original price. The actual selling price of a commodity is called the selling price. Commodity profit = commodity selling price-commodity buying price. Commodity price = original price (or marked price) × discount. Commodity profit rate = commodity profit/commodity purchase price = (commodity selling price-commodity purchase price)/commodity purchase price.
The common profit problems are as follows: (1) Given the purchase price and selling price, an example of finding the profit rate 1. The purchase price of brain products is 10000 yuan, and the selling price is 12000 yuan. What is the profit margin of this product? (2) Know the purchase price and profit rate, and ask about the price or original price. When the purchase price of a commodity is 250 yuan, the profit rate is 15.2% when it is sold at a 10% discount on the list price. What's the list price of this commodity? (3) Given the purchase price, bid price and profit rate, how much discount is required for the bid price or original price. Example 3: The purchase price of a famous brand suit is 1 1,000 yuan, and the winning bid is 1, 500 yuan. If a shopping mall wants to sell at a profit rate of not less than 5%, how much discount can the salesperson give to sell this product? (IV) Given the profit rate, the bid price is the purchase price in Example 4. A shopping mall adjusted the price of goods and sold them at 20% off the original price. At this time, the profit rate of goods is 65,438+00%, and the price of known goods is 65,438+0,375 yuan, so the purchase price is sought. Example 5. A shopping mall first increases the purchase price of each VCD by 40%, and then sells it at a discount price of 15%. As a result, Example 6. The purchase price of a commodity in a store is 8 yuan/piece, and the selling price is 10 yuan/piece. Now, in order to expand sales, the price of each commodity is reduced by x%, but the sales profit of each commodity is required to be 90% of the profit before the reduction. How much has the price been reduced? Example 7. When a shopping mall distributes a commodity, its profit increases by 8 percentage points because the price is 6.4% lower than the original purchase price. What is the original profit of distributing this commodity? Two, deposit (loan) interest problem example 8. Xiao Zhang deposited in 500 yuan in two forms, the first with an annual interest rate of 3.7% and the second with an annual interest rate of 2.25%. A year later, he earned the interest of 15.6 yuan. So how much did Xiao Zhang save in these two forms? 3. Example of interest tax 9. The annual interest rate of one-year time deposit is 2.25%, and the interest earned is subject to 20% interest tax. It is known that the depositor has a one-year fixed deposit with interest after tax, 450 yuan. How much principal does the depositor deposit? 4. Examples of the problem of losing money and making profits 10. A store has sold two calculators with different purchase prices to 64 yuan, one of which made a profit of 60% and the other lost 20%. What is the profit and loss of this store in this transaction? 5. Tax payment example 1 1. According to the national regulations, individuals should pay taxes on the royalties obtained from publishing articles and works, and the calculation method is: (1) the royalties are not higher than those in 800 yuan; (2) if the royalties are higher than those in 800 yuan but not higher than 4,000 yuan, the part exceeding 800 yuan should be taxed 14%. (3) If the contribution fee is more than 4,000 yuan, the tax of 1 1% of the total contribution fee shall be paid. Now it is known that Professor Wang got the manuscript fee for publishing a book, and he paid the tax in 550 yuan. How much is Professor Wang's manuscript fee? 6. Example of the best solution 12. A company plans to organize employees to travel to H on June 10, and the number is between 10-25. The service quality of A and B travel agencies is the same, and the price of organizing a trip to H is 200 yuan per person. When the company contacted, A travel agency said that it could give each passenger a 15% discount, and B travel agency said that one tourist could be exempted first.