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4. A salesman has a basic salary and, in addition, recelves a commission which is a fixed percentage of his sales volume, when his weekly sales equal is Birr 1000, his total salary Is Birr 400. When his weekdy sales equal Birt 500, his total salary is Birr 300. Determine his basic salary and his commission percentage and express the relationship between sales and salary in the form of an equation.​

Sagot :

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:

400 = 1000m + b  (1)

Also:

300 = 500m + b  (2)

Hence:

m = 0.2 = 20%, b = $200

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

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