Question

Difficulty: Very hardWages, Salaries, and Commissions

A medical equipment representative earns a base salary of $800 per week plus a tiered commission on weekly sales. The commission structure is as follows:

- 3% on the first 10,000ofsales−510,000 of sales - 5% on the next 15,000 of sales
- 7.5% on any sales exceeding $25,000

During a specific week, the representative's total sales are 32,000.Additionally,therepresentativereceivesa32,000. Additionally, the representative receives a 150 bonus for exceeding 30,000insales,butmustpay30,000 in sales, but must pay 275 out-of-pocket for weekly travel expenses which are deducted from their gross earnings. What are the representative's net earnings for the week?

  1. A
    $1,450
  2. $2,250Answer
  3. C
    $3,075
  4. D
    $6,975

Answer

$2,250
The net earnings are correctly found by evaluating the sales across three tiers: 3% on the first 10,000(10,000 ( 300), 5% on the next 15,000(15,000 ( 750), and 7.5% on the remaining 7,000(7,000 ( 525). Adding this 1,575commissiontothe1,575 commission to the 800 base salary and 150bonusyieldsgrossearningsof150 bonus yields gross earnings of 2,525. Subtracting the 275inexpensesresultsinafinalnetpayof275 in expenses results in a final net pay of 2,250.

Step-by-Step Solution

1
Calculate the commission on the first tier (0to0 to 10,000).
10,000×0.03=10,000 \times 0.03 = 300
The first $10,000 of sales earns a 3% commission.
2
Calculate the commission on the second tier (10,000to10,000 to 25,000).
15,000×0.05=15,000 \times 0.05 = 750
The next $15,000 of sales earns a 5% commission.
3
Calculate the commission on the third tier (sales exceeding $25,000).
Total sales (32,000)−32,000) - 25,000 = 7,000.7,000. 7,000 \times 0.075 = $525
The remaining sales amount above $25,000 earns a 7.5% commission.
4
Determine total commission.
300+300 + 750 + 525=525 = 1,575
Total commission is the sum of earnings from all three tiers.
5
Calculate net earnings.
800(base)+800 (base) + 1,575 (commission) + 150(bonus)−150 (bonus) - 275 (expenses) = $2,250
Net earnings equal base salary plus total commission plus bonuses minus deductions.

Key Concept

Calculating tiered commissions, bonuses, and deductions to determine net earnings.
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