Question

A salesmen earns a basic salary of sh 35000 a month. He is entitled to a commission of 10% of goods sold above Sh 300,000, and a further commission of 12% of goods sold above sh 500,000 in one month he earned a total 13900, from the sales of sh 139000 from the sales made Determine the sales made in that month.​

Answer 1

Explanation:

We can begin to solve this problem using mathematics. Let's name the total sales for the month "S".

We know that the salesman receives a 10% commission on sales over $300,000 and a 12% commission on sales above 500,000. As a result, we may construct the following equation:

Commission = 0.10 (S - 300,000) + 0.12 (S - 500,000) = 0.10 (S - 30,000) + 0.12 (S - 60,000) = 0.22 (S - 90,000).

We also know that the salesman receives a total commission of $13,900. So we can plug that number into the equation:

13,900 = 0.22S - 90,000

To obtain the value of S, multiply both sides of the equation by 90,000:

13,900 + 90,000 = 0.22S

103,900 = 0.22S

Finally, we can obtain the value of S by dividing both sides of the equation by 0.22: S = 472,273.63

As a result, the total sales for the month were Sh 472,273.63.