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[demonstration]

Factories and shops sometimes sell goods at reduced prices. Usually, we call it "discount" sales. A few discounts are 10%.

Profit problem is also a common percentage application problem. Shops always expect to make a profit when selling goods. Generally speaking, the price of purchasing goods from manufacturers is called the original price, and the merchants raise prices on the basis of cost price, and the money earned is called profit, and the percentage of profit and cost is called profit rate. Expected profit = cost price × expected profit rate.

"Classic example"

Example 1. After a store increased the purchase price of a DVD by 35%, it advertised "10% discount for guests, 50 yuan for taxi fare". As a result, each DVD still earned 208 yuan. What is the purchase price of each DVD? (level b)

Solution: The price is 35% of the purchase price of 1+.

After a 10% discount, the actual selling price is135% × 90% =1265438+0.5% of the purchase price.

Actual profit per DVD: 208+50=258 (RMB)

The purchase price of each DVD is 258 ÷ (121.5%-1) =1200 yuan.

A: The purchase price of each DVD is 1200 yuan.

Example 2: For a kind of clothing, the purchase price of store A is cheaper than that of store B 10%, and the price of store A is 20% profit, while the price of store B is 15% profit. Ex-factory price of a store 1 1.2 yuan. What's the purchase price of shop A? (level b)

Analysis:

Solution: The cost of setting up Store B is 1.

(1+ 15%) is the pricing of store B.

(1-10%) × (1+20%) is the pricing of a store.

( 1+ 15%)-( 1- 10%)×( 1+20%)=7%

11.2÷ 7% =160 (yuan)

160× (1-10%) =144 (yuan)

A: the purchase price of store a 144 yuan.

Ex. 3: A batch of fruits was originally sold at a profit price of 65,438+0,000%. Because the price was too high, no one bought it, so it sold 40%. At this time, I was afraid that the remaining fruits would go bad, so I had to reduce the price again and sell all the fruits. As a result, the actual total profit is 30.2% of the original profit, so what percentage is the price after the second price reduction? (level b)

Analysis:

If the price after the second price reduction is required to be a few percent of the original pricing, it is necessary to find out what percentage of profit the second price reduction is based on.

Solution: We assume that the second price reduction is based on x% profit.

38%×40%+x%×( 1-40%)=30.2%

X%=25%

( 1+25%)÷( 1+ 100%)=62.5%

A: The price after the second reduction is 62.5% of the original price.