Question

Difficulty: MediumWages, Salaries, and Commissions

Calculate the total gross earnings based on the given compensation structure.

Answer:A medical supplies sales representative earns a weekly base salary of $600\$600. She also earns a 4%4\% commission on her first $10,000\$10,000 in sales for the week, and a 7%7\% commission on any sales amount exceeding $10,000\$10,000. If she achieves $18,000\$18,000 in total sales this week, her total gross earnings will be $【1560】\$【1560】.

Answer

1,560
To find the total gross earnings, we must add the base salary to the commissions earned from each tier. The base salary is $600\$600. The first commission tier is 4%4\% of the first $10,000\$10,000, which is $400\$400. The second tier is 7%7\% of the remaining $8,000\$8,000 in sales (since $18,000−$10,000=$8,000\$18,000 - \$10,000 = \$8,000), which is $560\$560. Adding these three components together gives $600+$400+$560=$1,560\$600 + \$400 + \$560 = \$1,560.

Step-by-Step Solution

1
Identify the fixed base salary.
The base salary is $600\$600.
This is a guaranteed amount earned regardless of the sales volume achieved.
2
Calculate the commission on the first $10,000\$10,000 of sales.
0.04×$10,000=$4000.04 \times \$10,000 = \$400.
The representative earns a 4%4\% commission on all sales up to the $10,000\$10,000 threshold.
3
Determine the amount of sales that exceeds the $10,000\$10,000 threshold.
$18,000−$10,000=$8,000\$18,000 - \$10,000 = \$8,000.
The higher commission rate of 7%7\% only applies to the portion of sales above $10,000\$10,000.
4
Calculate the commission on the sales exceeding $10,000\$10,000.
0.07×$8,000=$5600.07 \times \$8,000 = \$560.
This applies the 7%7\% rate to the remaining $8,000\$8,000 in sales.
5
Add the base salary and all commissions to find the total gross earnings.
$600+$400+$560=$1,560\$600 + \$400 + \$560 = \$1,560.
Total gross earnings are the sum of the fixed base salary and all variable commission tiers.

Key Concept

Calculating total gross earnings using a combination of a fixed base salary and a tiered commission structure.
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