怎么算Markup, original price, final price?

来源: 秋月冬雪 2017-03-06 13:12:31 [] [博客] [旧帖] [给我悄悄话] 本文已被阅读: 次 (21543 bytes)

娃最近学数学用到。

老师的方法我很困惑。 

我狗了,看到不同的算法。 不知道你们家孩子的数学老师是怎样教的。 

把娃和我们做家长都搞糊涂了。两个算法出来的结果是不一样的。

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维基是指示的结果差不多是这样的:

Cost  $5, markup 10%, final price  5 x 110% = 5.50

这个网站的算法让我觉得很奇怪,但是却是和娃老师思路一样:

http://smallbusiness.chron.com/calculate-markup-cost-1666.html

Markup is when a company produces or purchases a good at one price and then sells the good for a higher price. By having markup on goods, a company is able to earn profits. If the company sold goods for what they cost, then the company's revenues would match expenses, thereby not earning any profit. As an example, a company pays $5 for widgets. The company wants a 10 percent profit on the goods.

1. Determine the markup the company wants and the cost of the good. In the example, the cost is $5 and the markup rate is 10 percent.

2. Subtract 1 from the markup rate. In the example, 1 minus 10 percent equals 90 percent or 0.9.

3. Divide the cost of the product by the number calculated in Step 2. In the example, $5 divided by 0.9 equals $5.56. So if the company uses a 10 percent markup, it will sell the product for $5.56.

维基

https://en.wikipedia.org/wiki/Markup_(business)

Markup[edit]

Below shows markup as a percentage of the cost added to the cost to create a new total (i.e. cost plus).

  • Cost × (1 + Markup) = Sale price
or solved for Markup = (Sale price / Cost) − 1
or solved for Markup = (Sale price − Cost) / Cost
  • Assume the sale price is $1.99 and the cost is $1.40
Markup = ($1.99 / 1.40) − 1 = 42%
or Markup = ($1.99 − $1.40) / $1.40 = 42%
Sale price − Cost = Sale price × Profit margin
therefore Profit Margin = (Sale price − Cost) / Sale price
Margin = 1 − (1 / (Markup + 1))
or Margin = Markup/(Markup + 1)
Margin = 1 − (1 / (1 + 0.42)) = 29.5%
or Margin = ($1.99 − $1.40) / $1.99 = 29.6%

Another method of calculating markup is based on percentage of cost. This method eliminates the two-step process above and incorporates the ability of discount pricing.

  • For instance cost of an item is 75.00 with 25% markup discount.
75.00/(1 − .25) = 75.00/.75 = 100.00

Comparing the two methods for discounting:

  • 75.00 × (1 + .25) = 93.75 sale price with a 25% discount
93.75 × (1 − .25) = 93.75 × .75 = 70.31(25)
cost was 75.00 and if sold for 70.31 both the markup and the discount is 25%
  • 75.00 /(1 − .25) = 100.00 sale price with a 25% discount
100.00 × (1 − .25) = 100.00 × .75 = 75.00
cost was 75.00 and if sold for 75.00 both the profit margin and the discount is 25%

These examples show the difference between adding a percentage of a number to a number and asking of what number is this number X% of. If the markup has to include more than just profit, such as overhead, it can be included as such:

  • cost × 1.25 = sale price

or

  • cost / .75 = sale price

所有跟帖: 

不是一样么? --百科-- 给 -百科- 发送悄悄话 -百科- 的博客首页 (0 bytes) () 03/06/2017 postreply 13:18:41

计算出来的结果不同呀。。。 -秋月冬雪- 给 秋月冬雪 发送悄悄话 秋月冬雪 的博客首页 (0 bytes) () 03/06/2017 postreply 14:19:25

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