6.17涉及折扣的价格

Section outline

• Select section General

  Collapse Expand

  General

  Collapse all Expand all

  • Select activity 新闻通告

    

    新闻通告 Forum
• Select section 涉及折扣的价格

  Collapse Expand

  涉及折扣的价格

  

  [Figure 1]

  播放段落

  In 2002, a Cook County home had an assessed value of $100,000. By 2008, the assessed value of the home had been marked 160% by Cook County assessors. What was the assessed value of the home in 2008?
  ::2002年,库克县一家住房的估价值为100 000美元,到2008年,库克县评估员对住房的估价值为160%,2008年的估价值是多少?

  播放段落

  In this concept, you will learn how to use percents in everyday life for situations involving discounts and markups.
  ::在这个概念中,你将学会如何在日常生活中使用百分比,用于涉及折扣和加分的情况。

  播放段落

  Finding Prices Involving Discounts
  ::涉及贴现的物价调查

  播放段落

  A store owner buys an item at a wholesale cost and marks it up by adding a percent of the price to the price he paid for it. If you buy that item when it is on sale, you can find the  amount  of the  discount  if you know the  rate  of discount the store is offering. 
  ::商店老板以批发价格购买一个物品,并且通过将价格的百分之一加到他为此支付的价格上加一记记记号。 如果你在出售时购买了该物品,那么如果知道商店提供的折扣率,你可以找到折扣的金额。

  播放段落

  A  markup  is an increase in the price of an item. A  discount  is a decrease in the price of an item. Both of these changes can be expressed as an amount of money or as a percent of the original price of the item. 
  ::标记是指物品价格的上涨。折扣是指物品价格的下降。这两种变化都可以以金额或物品原价的百分之一表示。

  播放段落

  A markup is often how stores or businesses make a profit. They buy merchandise at one price and sell it for another price. The  difference  in the price they bought it for and the price they sell it for is the profit margin.
  ::利润加价通常是指商店或企业如何盈利。 他们以一个价格购买商品,并以另一个价格出售商品。 他们购买商品的价格和销售价格的差额是利润幅度。

  播放段落

  Stores discount items all the time. Often, they are still making a profit, but they discount an item by a specific  percentage  to try to sell more of that item.
  ::通常情况下,它们仍然在盈利,但是它们以一定比例的贴现一项物品,试图出售更多该物品。

  播放段落

  To figure out a discount or a markup, you need to know the  . 
  ::要找出折扣或标记, 你需要知道.

  播放段落

  The  percent of change  is the percent the price is changing by. If the markup is 10%, then that is the percent of change (an increase). If the discount is 10%, then that is the percent of change (a decrease).
  ::变化的百分率是价格变化的百分率。 如果加价是10%,那么这就是变化的百分率(增加 ) 。 如果折扣是10%,那么就是变化的百分率(减少 ) 。

  播放段落

  You can use the following formula to solve markup and discount problems:
  ::您可以使用以下公式解决加价和贴现问题:

  $$\begin{array}{r}\text{Percent of change}\times \text{original amount}=\text{amount of the change}\end{array}$$

  播放段落

  Let’s look at an example. 
  ::让我们举个例子。

  播放段落

  A camera store buys a camera for $149 and marks up the price by 35%. What price does the camera sell for?
  ::一家照相机店以149美元购买相机,并标价35%。相机卖什么价格?

  播放段落

  First, find the amount of the markup.
  ::首先,找到标记的金额。

  $$\begin{array}{r}\begin{array}{rcl}\text{Amount of change}& =& \text{percent of change}\times \text{original amount}\\ & =& 35\mathrm{\%}\times \mathrm{\$}149\end{array}\end{array}$$

  播放段落

  Next, convert the percent to a decimal and multiply. 
  ::接下来,将百分比转换为小数点后再乘。

  $$\begin{array}{r}\begin{array}{rcl}& =& 0.35\times \mathrm{\$}149\\ & =& \mathrm{\$}52.15\end{array}\end{array}$$

  播放段落

  The markup is $52.15.
  ::标记是52.15美元。

  播放段落

  Now find the selling price by adding the markup to the  wholesale price . 
  ::现在,通过在批发价格上加加加加价来找到销售价格。

  $$\begin{array}{r}\$149+\$52.15=\$201.15\end{array}$$

  播放段落

  The answer is the selling price is $201.15.
  ::答案是售价是201.15美元

  播放段落

  Let’s look at another example. 
  ::让我们再看看另一个例子。

  播放段落

  A camera that normally sells for $189 is on sale at a 20% discount. What is the sale price?
  ::通常以189美元出售的相机以20%的折扣出售。售价是多少?

  播放段落

  First, find the amount of the discount.
  ::首先,找到折扣的金额。

  $$\begin{array}{r}\begin{array}{rcl}\text{Amount of change}& =& \text{percent of change}\times \text{original amount}\\ & =& 20\mathrm{\%}\times \$189\end{array}\end{array}$$

  播放段落

  Next, convert the percent to a decimal and multiply. 
  ::接下来,将百分比转换为小数点后再乘。

  $$\begin{array}{r}\begin{array}{rcl}& =& 0.20\times \$189\\ & =& \$37.80\end{array}\end{array}$$

  播放段落

  The discount is $37.80.
  ::折扣为37.80美元。

  播放段落

  Now find the sale price by subtracting the discount from the original price.
  ::现在通过从原价中减去折扣来找到销售价格。

  $$\begin{array}{r}\$189-\$37.80=\$151.20\end{array}$$

  播放段落

  The answer is the sale price is $151.20.
  ::答案是销售价是151.20美元

  播放段落

  Examples
  ::实例

  播放段落

  Example 1
  ::例1

  播放段落

  Earlier, you were given a problem about the Cook County home assessment.
  ::早些时候,你被问及 库克县家庭评估的问题。

  播放段落

  The assessors valued the home at $100,000 in 2002. By 2008, Cook County assessors had marked up the assessed value of the home by 160%. What was the assessed value of the home in 2008?
  ::到2008年,库克县评估员将房屋估价值增加了160%。 2008年,房屋估价值是多少?

  播放段落

  First, find the amount of the markup.
  ::首先,找到标记的金额。

  $$\begin{array}{r}\begin{array}{rcl}\text{Amount of change}& =& \text{percent of change}\times \text{original amount}\\ & =& 160\mathrm{\%}\times \$100,000\end{array}\end{array}$$

  播放段落

  Next, convert the percent to a decimal and multiply. 
  ::接下来,将百分比转换为小数点后再乘。

  $$\begin{array}{r}\begin{array}{rcl}& =& 1.60\times \$100,000\\ & =& \$160,000\end{array}\end{array}$$

  播放段落

  The markup is $160,000.
  ::涨价是160,000美元。

  播放段落

  Now find the new assessed value by adding the markup to the original assessed value. 
  ::现在通过在原评估价值上添加标记来找到新的评估价值。

  $$\begin{array}{r}\$100,000+\$160,000=\$260,000\end{array}$$

  播放段落

  The answer is the assessed value of the home in 2008 was $260,000.
  ::答案是,2008年住房的估计价值为260 000美元。

  播放段落

  Example 2
  ::例2

  播放段落

  A pair of shoes with a wholesale price of $40 was marked up 50%. During a sale, the shoes were discounted 33%.
  ::批发价40美元的一双鞋价值达50%,在一次销售中,鞋子折扣为33%。

  播放段落

  What was the sale price?
  ::售价是多少?

  播放段落

  First, find the amount of markup.
  ::首先,找到加注的金额。

  $$\begin{array}{r}\begin{array}{rcl}\text{Amount of change}& =& \text{percent of change}\times \text{original amount}\\ & =& 50\mathrm{\%}\times \$40\\ & =& 0.50\times \$40\\ & =& \$20\end{array}\end{array}$$

  播放段落

  The markup is $20.
  ::涨价是20美元。

  播放段落

  Next, find the regular selling price by adding the markup to the wholesale price.
  ::接下来,通过在批发价格上加加加价来找到正常的销售价格。

  播放段落

  The selling price is  $\begin{array}{r}\$40+\$20=\$60\end{array}$ .
  ::售价为40美元+20美元=60美元。

  播放段落

  Now find the amount of the discount.
  ::现在找到折扣的金额。

  $$\begin{array}{r}\begin{array}{rcl}\text{Amount of change}& =& \text{percent of change}\times \text{original amount}\\ & =& 33\mathrm{\%}\times \$60\\ & =& 0.33\times \$60\\ & =& \$19.80\end{array}\end{array}$$

  播放段落

  The discount is $19.80.
  ::折扣为19.80美元。

  播放段落

  Finally, find the sale price by subtracting the discount from the selling price.
  ::最后,通过从销售价格中减去折扣来找到销售价格。

  $$\begin{array}{r}\$60-\$19.80=\$40.20\end{array}$$

  播放段落

  The sale price is $40.20.
  ::售价40.20美元

  播放段落

  Example 3
  ::例3

  播放段落

  A camera store buys a camera for $159.00 and marks it up 10%. What is the new price of the camera?
  ::一家照相机店以$159.00的价格购买一台照相机,并标价10%。照相机的新价格是多少?

  播放段落

  First, find the amount of the markup.
  ::首先,找到标记的金额。

  $$\begin{array}{r}\begin{array}{rcl}\text{Amount of change}& =& \text{percent of change}\times \text{original amount}\\ & =& 10\mathrm{\%}\times \$159\end{array}\end{array}$$

  播放段落

  Next, convert the percent to a decimal and multiply. 
  ::接下来,将百分比转换为小数点后再乘。

  $$\begin{array}{r}\begin{array}{rcl}& =& 0.10\times \$159\\ & =& \$15.90\end{array}\end{array}$$

  播放段落

  The markup is $15.90.
  ::涨价是15.90美元

  播放段落

  Now find the selling price by adding the markup to the wholesale price.
  ::现在,通过在批发价格上加加加加价来找到销售价格。

  $$\begin{array}{r}\$159+\$15.90=\$174.90\end{array}$$

  播放段落

  The answer is the new price is $174.90.
  ::答案是,新价格是174.90美元。

  播放段落

  Example 4
  ::例4

  播放段落

  A chair that costs $199.00 is on sale for 15% off. What is the sale price of the chair?
  ::价为199.00美元的椅子 售价是15% 售价是多少?

  播放段落

  First, find the amount of the discount.
  ::首先,找到折扣的金额。

  $$\begin{array}{r}\begin{array}{rcl}\text{Amount of change}& =& \text{percent of change}\times \text{original amount}\\ & =& 15\mathrm{\%}\times \$199\end{array}\end{array}$$

  播放段落

  Next, convert the percent to a decimal and multiply.
  ::接下来,将百分比转换为小数点后再乘。

  $$\begin{array}{r}\begin{array}{rcl}& =& 0.15\times \$199\\ & =& \$29.85\end{array}\end{array}$$

  播放段落

  The discount is $29.85.
  ::折扣为29.85美元。

  播放段落

  Now find the sale price by subtracting the discount from the original price.
  ::现在通过从原价中减去折扣来找到销售价格。

  $$\begin{array}{r}\$199-\$29.85=\$169.15\end{array}$$

  播放段落

  The answer is the sale price is $169.15.
  ::答案是销售价是169.15美元

  播放段落

  Example 5
  ::例5

  播放段落

  A shirt that costs $15.00 is on sale for 30% off. What is the sale price of the shirt?
  ::一件价值15美元的衬衫 售出30%的折扣。 衬衫的售价是多少?

  播放段落

  First, find the amount of the discount.
  ::首先,找到折扣的金额。

  $$\begin{array}{r}\begin{array}{rcl}\text{Amount of change}& =& \text{percent of change}\times \text{original amount}\\ & =& 30\mathrm{\%}\times \$15\end{array}\end{array}$$

  播放段落

  Next, convert the percent to a decimal and multiply. 
  ::接下来,将百分比转换为小数点后再乘。

  $$\begin{array}{r}\begin{array}{rcl}& =& 0.30\times \$15\\ & =& \$4.50\end{array}\end{array}$$

  播放段落

  The discount is $4.50.
  ::折扣为4.50美元。

  播放段落

  Now find the sale price by subtracting the discount from the original price.
  ::现在通过从原价中减去折扣来找到销售价格。

  $$\begin{array}{r}\$15-\$4.50=\$10.50\end{array}$$

  播放段落

  The answer is the sale price is $10.50.
  ::答案是销售价是10.50美元

  播放段落

  Review
  ::回顾

  播放段落

  Here is a list of wholesale prices. Figure out each sale price if the markup is 20%. 
  ::这是批发价格清单, 找出每一份销售价格, 如果加价是20%的话。

  1. $19.00
  2. $12.00
  3. $18.00
  4. $25.00
  5. $13.50
  6. $9.95
  7. $45.00
  8. $90.00
  9. $85.00
  10. $17.00

  播放段落

  Each item is discounted 15%. Figure out each new sale price; the original prices are listed below. Round your answers to the nearest whole cent.
  ::每件物品都贴现15%。 找出每件新的销售价格; 原始价格列出如下。 将您的答复转至最近的整份 。

  11. $55.00
  12. $35.50
  13. $18.00
  14. $8.75
  15. $25.00

  播放段落

  Review (Answers)
  ::回顾(答复)

  播放段落

  Click   to see the answer key or go to the Table of Contents and click on the Answer Key under the 'Other Versions' option.
  ::单击可查看答题键, 或转到目录中, 单击“ 其他版本” 选项下的答题键 。

  播放段落

  Resources
  ::资源