英文:
Dynamic percentage in number range
问题
我有一系列产品的价格，从1美元到100美元不等。另外，我了解到对于成本为1美元的产品，将应用15%的利润率，而对于100美元的产品，将应用5%的利润率。
这意味着：
- 1美元的产品将成本为1 + 1 * 0.15 = 1.15美元。
- 100美元的产品将成本为100 + 100 * 0.05 = 105美元。
问题是如何计算介于1美元和100美元之间所有价格范围的利润率？
我尝试了不同的方法，但最终我不明白如何使这个计算具有动态性，以便我可以将公式应用于大范围的数据并获得结果。
英文:
I have a range of prices for multiple products from 1$ to 100$. As well, as I have understanging that for product with cost of 1$ is 15% of margin will apply and for 100$ product - 5%.
Mean that:
1. 1$ product will cost 1 + 1 * 0.15 = 1.15$
2. 100$ product will cost 100 + 100 * 0.05 = 105$
Question is how to calculate margin percentage for all range of numbers between 1$ and 100$?
I have tried to different approaches but in the end I just don't understand how to make this calculation dynamic, so I will apply formula to a big data range and get the result
答案1
得分: 1
你可以使用 delta 进行计算，并添加百分比的起始值。
基本上，你可以计算斜率，并将其与一个值相乘以获得结果。你还需要添加偏移量。在这里，你有一个递减（函数）线。
const
fn = (price0, price1, percent0, percent1) => price =>
(percent0 - percent1) * (price - price0) / (price1 - price0) + percent1;
console.log(...[1, 50.5, 100].map(fn(1, 100, 15, 5)));
英文:
You could calculate with delta and add the starting value of percent.
Basically you calculate the slope and multiply it with a value to get a result. You need to add the offset as well. Here you have a decreasing (function) line.
<!-- begin snippet: js hide: false console: true babel: false -->
<!-- language: lang-js -->
const
fn = (price0, price1, percent0, percent1) => price =>
(percent0 - percent1) * (price - price0) / (price1 - price0) + percent1;
console.log(...[1, 50.5, 100].map(fn(1, 100, 15, 5)));
<!-- end snippet -->
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