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Zorluk: OrtaWages, Salaries, and Commissions

An agricultural equipment salesperson earns a fixed monthly salary of $2,400\$2,400. They also earn a 4.5%4.5\% commission on their first $50,000\$50,000 in sales, and a 6%6\% commission on any sales exceeding $50,000\$50,000 for the month. If the salesperson's total sales for this month are $82,000\$82,000, what is their total gross income for the month?

  1. A
    $4,170\$4,170
  2. B
    $4,545\$4,545
  3. $6,570\$6,570Cevap
  4. D
    $7,320\$7,320

Cevap

The correct total gross income is $6,570\$6,570.
The correct total gross income is found by adding the base salary ($2,400\$2,400) to the commission from the first tier (4.5%4.5\% of $50,000=$2,250\$50,000 = \$2,250) and the commission from the second tier (6%6\% of the remaining $32,000=$1,920\$32,000 = \$1,920).

Adım Adım Çözüm

1
Calculate the commission earned on the first $50,000 of sales.
$50,000×0.045=$2,250\$50,000 \times 0.045 = \$2,250
The salesperson earns a 4.5% commission on sales up to the $50,000 threshold.
2
Determine the amount of sales that exceeded the $50,000 threshold.
$82,000−$50,000=$32,000\$82,000 - \$50,000 = \$32,000
The higher 6% commission rate only applies to the sales amount above the initial threshold.
3
Calculate the commission earned on the exceeding sales.
$32,000×0.06=$1,920\$32,000 \times 0.06 = \$1,920
Apply the 6% commission rate to the excess sales amount.
4
Calculate the total gross income by adding the base salary and both commission amounts.
$2,400+$2,250+$1,920=$6,570\$2,400 + \$2,250 + \$1,920 = \$6,570
Gross income includes the fixed monthly base salary plus all commissions earned.

Anahtar Kavram

Calculating tiered commissions and adding them to a base salary to determine total gross income.
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Konular

Wages, Salaries, and Commissions

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