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Zorluk: OrtaWages, Salaries, and Commissions

An events coordinator receives a guaranteed weekly salary of $900\$900. On top of this, the coordinator is paid a 4%4\% commission on the first $15,000\$15,000 of event contracts secured each week, and a 7%7\% commission on the value of any contracts above $15,000\$15,000. If the coordinator secures $22,000\$22,000 in event contracts in a single week, what is the coordinator's total gross pay for that week?

  1. A
    $1,009\$1,009
  2. B
    $1,090\$1,090
  3. $1,990\$1,990Cevap
  4. D
    $2,440\$2,440

Cevap

$1,990\$1,990
The total gross pay consists of the base salary plus the commission from both tiers. First, calculate the commission on the initial $15,000\$15,000: 4%4\% of $15,000\$15,000 is $600\$600. Next, find the amount eligible for the 7%7\% tier by subtracting $15,000\$15,000 from the total $22,000\$22,000, which leaves $7,000\$7,000. Calculate the commission on this remaining amount: 7%7\% of $7,000\$7,000 is $490\$490. Finally, add the guaranteed salary and both commission amounts: $900+$600+$490=$1,990\$900 + \$600 + \$490 = \$1,990.

Adım Adım Çözüm

1
Calculate the commission earned on the first tier.
4%4\% of $15,000=0.04×15,000=$600\$15,000 = 0.04 \times 15,000 = \$600
The coordinator earns a 4%4\% commission on the first $15,000\$15,000 of contracts.
2
Determine the value of contracts in the second tier.
$22,000−$15,000=$7,000\$22,000 - \$15,000 = \$7,000
The 7%7\% commission applies only to the amount exceeding the initial $15,000\$15,000.
3
Calculate the commission earned on the second tier.
7%7\% of $7,000=0.07×7,000=$490\$7,000 = 0.07 \times 7,000 = \$490
Multiply the remaining contract value by the 7%7\% rate.
4
Calculate the total gross pay.
$900+$600+$490=$1,990\$900 + \$600 + \$490 = \$1,990
Add the guaranteed weekly salary to both commission amounts to find the total earnings.

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Wages, Salaries, and Commissions
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