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Zorluk: ZorWages, Salaries, and Commissions

Solve the following problem by entering the correct numerical value in the blank.

Cevap:Sarah works as a heavy equipment sales representative. She earns a monthly base salary of $2,400\$2,400. She also earns a 4%4\% commission on her first $40,000\$40,000 in monthly sales, and a 7.5%7.5\% commission on all sales exceeding $40,000\$40,000. In March, Sarah's total gross pay was $6,100\$6,100.

The total value of her sales in March was $【68000】\$【68000】.

Cevap

68,000
Subtracting the base salary ($2,400\$2,400) and the maximum first tier commission ($1,600\$1,600) from the total gross pay ($6,100\$6,100) leaves $2,100\$2,100. This remaining amount is the commission earned at the 7.5%7.5\% rate. Dividing $2,100\$2,100 by 0.0750.075 yields $28,000\$28,000, which is the sales amount over the $40,000\$40,000 threshold. Adding this to the initial $40,000\$40,000 threshold gives the total monthly sales of $68,000\$68,000.

Adım Adım Çözüm

1
Calculate the commission earned from the first tier of sales.
$40,000×0.04=$1,600\$40,000 \times 0.04 = \$1,600
To determine the maximum commission Sarah can earn at the 4%4\% base rate.
2
Subtract the base salary and first tier commission from the total gross pay to find the remaining commission.
$6,100−$2,400−$1,600=$2,100\$6,100 - \$2,400 - \$1,600 = \$2,100
To isolate the portion of her earnings that came exclusively from the 7.5%7.5\% commission tier.
3
Calculate the sales volume required to generate the remaining tier 2 commission.
$2,100÷0.075=$28,000\$2,100 \div 0.075 = \$28,000
To find out how much she sold above the $40,000\$40,000 threshold.
4
Add the tier 2 sales to the tier 1 threshold to find the total sales.
$40,000+$28,000=$68,000\$40,000 + \$28,000 = \$68,000
To find the complete total value of her sales in March.

Anahtar Kavram

Solving for required total sales given a base salary and a tiered commission structure
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Konular

Wages, Salaries, and Commissions

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