Wages, Salaries, and Commissions

34 soru

Soru 21Soru →

An electronics salesperson earns a base weekly salary of $650\$650 plus a 6%6\% commission on their total sales. If they sell $4,500\$4,500 worth of electronics in one week, what is their total gross pay, in dollars, for that week?

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Cevap: 920

Cevap

920
The total gross pay is the sum of the base salary and the commission earned. The commission is 6%6\% of $4,500\$4,500, which is calculated as 0.06×4500=2700.06 \times 4500 = 270. Adding this to the base salary gives 650+270=920650 + 270 = 920.

Adım Adım Çözüm

1
Calculate the commission earned from sales.
$270\$270
The commission is 6%6\% of the $4,500\$4,500 in total sales. Multiply 45004500 by 0.060.06 to find this amount.
2
Calculate the total gross pay.
$920\$920
Add the commission earned ($270\$270) to the base weekly salary ($650\$650) to determine the total earnings for the week.

Anahtar Kavram

Calculating total gross pay by combining a base salary with a percentage commission.
Soru 22Soru →

A property leasing agent earns a fixed weekly base salary of $800\$800, plus a 5%5\% commission on the total dollar value of all leases signed that week. If the agent signed leases totaling $3,000\$3,000 last week, what was their total gross pay for the week?

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Cevap: $950\$950

Cevap

The agent's total gross pay is $950\$950.
The total gross pay is the sum of the base salary and the commission. The commission is calculated as 5%5\% of the $3,000\$3,000 lease value, which is $150\$150. Adding this to the $800\$800 base salary results in a total gross pay of $950\$950.

Adım Adım Çözüm

1
Calculate the commission amount by finding 5%5\% of the total lease value.
0.05×$3,000=$1500.05 \times \$3,000 = \$150
The commission is earned on the total value of the leases signed.
2
Add the calculated commission to the fixed base salary to find the total gross pay.
$800+$150=$950\$800 + \$150 = \$950
Total pay is the sum of the guaranteed base salary and any earned commission.

Anahtar Kavram

Calculating total earnings by combining a fixed base salary with a percentage-based commission.
Soru 23Soru →

A car wash attendant earns a base salary of $400\$400 per week, plus a 10%10\% commission on any detailing packages they sell. If the attendant sells $800\$800 worth of detailing packages in one week, what is their total gross pay for that week?

Aşağıdaki boşlukları doldurun

Total gross pay: $\$$
Cevabı ve açıklamayı göster

Cevap

480
The correct total gross pay is calculated by finding the commission (10%10\% of $800=$80\$800 = \$80) and adding it to the weekly base salary ($400\$400). The sum is $400+$80=$480\$400 + \$80 = \$480.

Adım Adım Çözüm

1
Calculate the commission earned from the sale of detailing packages.
0.10×$800=$800.10 \times \$800 = \$80
The attendant earns a 10%10\% commission on the total value of detailing packages sold.
2
Add the commission to the base salary to find the total gross pay.
$400+$80=$480\$400 + \$80 = \$480
Total earnings equal the base salary plus any additional commission earned.

Anahtar Kavram

Calculating total gross pay using a base salary plus a percentage-based commission.
Soru 24Soru →

Sarah works as a wholesale medical supplier. She is compensated with a fixed weekly base pay of $750\$750. In addition to her base pay, she receives an 8%8\% commission on the portion of her weekly sales that exceeds a $5,000\$5,000 quota. If her total sales for the week amount to $12,500\$12,500, what is her total gross earnings for the week?

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Cevap: $1,350\$1,350

Cevap

$1,350\$1,350
To find the total gross earnings, you must first identify the sales amount subject to commission by subtracting the quota from the total sales ($12,500−$5,000=$7,500\$12,500 - \$5,000 = \$7,500). Next, find the 8%8\% commission on that amount (0.08×7,500=$6000.08 \times 7,500 = \$600). Finally, add the commission to the fixed base pay ($750+$600=$1,350\$750 + \$600 = \$1,350).

Adım Adım Çözüm

1
Determine the amount of sales eligible for commission.
$12,500−$5,000=$7,500\$12,500 - \$5,000 = \$7,500
The commission is only applied to the portion of sales that exceeds the $5,000 quota.
2
Calculate the commission earned.
8% of $7,500=0.08×7,500=$6008\% \text{ of } \$7,500 = 0.08 \times 7,500 = \$600
Multiply the commissionable sales by the commission rate (expressed as a decimal) to find the extra earnings.
3
Calculate the total gross earnings.
$750+$600=$1,350\$750 + \$600 = \$1,350
Add the base pay to the earned commission to find the total gross pay for the week.

Anahtar Kavram

Calculating gross pay involving a base salary and a commission with a sales quota.
Soru 25Soru →

Read the scenario below and determine the technician's total gross earnings for the week.

Aşağıdaki boşlukları doldurun

An industrial equipment technician is paid an hourly rate of $28.00\$28.00 for a standard 4040-hour workweek. Any additional hours are compensated at time-and-a-half. Last week, the technician worked a total of 4747 hours and also received a flat $75.00\$75.00 emergency call-out fee.

The technician's total gross earnings for that week were $\$
$.
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Cevap

The technician's total gross earnings for the week are $1,489.
The correct total is calculated by evaluating each component of the technician's compensation separately. The standard pay for the first 40 hours is 1,120.The7overtimehoursarepaidatatime−and−a−halfrateof1,120. The 7 overtime hours are paid at a time-and-a-half rate of 42 per hour, contributing 294.Addingthestandardpay,theovertimepay,andthe294. Adding the standard pay, the overtime pay, and the 75 flat fee results in a total gross earnings of $1,489.

Adım Adım Çözüm

1
Calculate the pay for the standard 40-hour workweek.
40 hours×$28.00/hour=$1,120.0040 \text{ hours} \times \$28.00/\text{hour} = \$1,120.00
The standard hourly wage applies only to the first 40 hours worked.
2
Determine the overtime pay rate and the number of overtime hours.
Overtime rate = $28.00×1.5=$42.00\$28.00 \times 1.5 = \$42.00 per hour. Overtime hours = 47−40=747 - 40 = 7 hours.
Any hours worked beyond the standard 40 hours are paid at the time-and-a-half rate.
3
Calculate the total overtime pay.
7 hours×$42.00/hour=$294.007 \text{ hours} \times \$42.00/\text{hour} = \$294.00
This represents the earnings from the additional 7 hours worked.
4
Sum the standard pay, overtime pay, and the flat emergency fee to find the total gross earnings.
$1,120.00+$294.00+$75.00=$1,489.00\$1,120.00 + \$294.00 + \$75.00 = \$1,489.00
Total gross earnings include all forms of compensation before taxes and deductions.

Anahtar Kavram

Calculating total gross pay involving a standard hourly wage, time-and-a-half overtime pay, and additional flat fees.
Soru 26Soru →

A freight broker earns a weekly base salary of $600\$600. They also earn a 3%3\% commission on their first $10,000\$10,000 in freight sales for the week, and a 5%5\% commission on any sales exceeding $10,000\$10,000. If the broker secures $24,000\$24,000 in freight sales this week, what are their total gross earnings for the week in dollars?

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Cevap: 1600

Cevap

1600
The total earnings consist of three parts: the fixed base salary (600),the3600), the 3% commission on the first 10,000 of sales (300),andthe5300), and the 5% commission on the remaining 14,000 of sales (700).Addingtheseamountstogether(700). Adding these amounts together ( 600 + 300+300 + 700) results in total gross earnings of $1,600.

Adım Adım Çözüm

1
Calculate the commission earned on the first $10,000 of sales.
$300
The broker earns 3% on the first 10,000.10,000. 10,000 \times 0.03 = $300.
2
Calculate the remaining sales volume above the $10,000 threshold.
$14,000
Total sales were 24,000.Theamountover24,000. The amount over 10,000 is 24,000−24,000 - 10,000 = $14,000.
3
Calculate the commission earned on the remaining sales.
$700
The broker earns 5% on sales exceeding 10,000.10,000. 14,000 \times 0.05 = $700.
4
Calculate total gross earnings.
$1,600
Add the base salary, first-tier commission, and second-tier commission: 600+600 + 300 + 700=700 = 1,600.

Anahtar Kavram

Calculating total gross earnings involving a base salary and a tiered commission structure.
Tahmini Süre:1m 30s
Soru 27Soru →

A custom cabinetry builder is paid an hourly wage of $24\$24 for a standard 4040-hour workweek. For any hours worked beyond 4040 in a single week, they receive "time-and-a-half" overtime pay. Last week, the builder worked a total of 5252 hours and received an additional $150\$150 material handling bonus. What were the builder's total gross earnings for the week?

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Cevap: $1,542\$1,542

Cevap

The total gross earnings are $1,542\$1,542.
The correct answer accurately separates the total hours into regular and overtime components, applies the respective rates to each portion, and includes the fixed material handling bonus to find the total gross earnings.

Adım Adım Çözüm

1
Calculate the base pay for the standard workweek.
40 hours×$24/hour=$96040 \text{ hours} \times \$24/\text{hour} = \$960
The standard hourly rate only applies to the first 40 hours worked in the week.
2
Determine the number of overtime hours and the overtime pay rate.
52−40=12 overtime hours52 - 40 = 12 \text{ overtime hours}. The overtime rate is $24×1.5=$36/hour\$24 \times 1.5 = \$36/\text{hour}.
Overtime is paid at time-and-a-half for any hours beyond the standard 40.
3
Calculate the total overtime pay.
12 hours×$36/hour=$43212 \text{ hours} \times \$36/\text{hour} = \$432
This accounts for the compensation earned during the extra hours.
4
Sum all earnings to find the total gross pay.
$960 (base)+$432 (overtime)+$150 (bonus)=$1,542\$960 \text{ (base)} + \$432 \text{ (overtime)} + \$150 \text{ (bonus)} = \$1,542
Total gross earnings must include regular pay, overtime pay, and any additional bonuses.

Anahtar Kavram

Wages, Salaries, and Commissions
Soru 28Soru →

A machinist earns a regular hourly rate of $26.00\$26.00 for a standard 4040-hour workweek. Any hours worked over 4040 in a single week are paid at a time-and-a-half overtime rate. Additionally, working the night shift adds a flat $3.50\$3.50 per hour differential to their base rate before the overtime multiplier is applied. If the machinist worked 4646 hours last week, and all of those hours were on the night shift, what was their total gross pay in dollars?

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Cevap: 1445.5

Cevap

1445.50
The total gross pay is calculated by first establishing the adjusted base rate for the night shift, which is the regular rate plus the differential: $26.00+$3.50=$29.50\$26.00 + \$3.50 = \$29.50. The machinist worked 4040 regular hours at this rate, earning 40×$29.50=$1,180.0040 \times \$29.50 = \$1,180.00. The 66 remaining hours are overtime, paid at 1.51.5 times the adjusted rate: $29.50×1.5=$44.25\$29.50 \times 1.5 = \$44.25. Multiplying this by the 66 overtime hours gives 6×$44.25=$265.506 \times \$44.25 = \$265.50. Adding the regular pay and overtime pay results in a total gross pay of $1,180.00+$265.50=$1,445.50\$1,180.00 + \$265.50 = \$1,445.50.

Adım Adım Çözüm

1
Calculate the adjusted base hourly rate.
$26.00+$3.50=$29.50\$26.00 + \$3.50 = \$29.50 per hour
The night shift differential is added to the standard base rate before any other multipliers are applied.
2
Calculate the regular pay for the first 40 hours.
40×$29.50=$1,180.0040 \times \$29.50 = \$1,180.00
The standard workweek is 40 hours, which is paid at the regular adjusted rate.
3
Calculate the overtime hourly rate.
$29.50×1.5=$44.25\$29.50 \times 1.5 = \$44.25 per hour
Overtime is paid at time-and-a-half (1.5 times the regular rate), applying to the adjusted base rate.
4
Calculate the pay for the overtime hours.
6×$44.25=$265.506 \times \$44.25 = \$265.50
The machinist worked 46 hours total, so 6 of those hours are considered overtime.
5
Calculate the total gross pay.
$1,180.00+$265.50=$1,445.50\$1,180.00 + \$265.50 = \$1,445.50
Total gross pay is the sum of the regular shift pay and the overtime pay.

Anahtar Kavram

Calculating gross pay involving base rate adjustments, shift differentials, and overtime multipliers.
Soru 29Soru →

A retail boutique manager receives a fixed monthly salary of $3,200\$3,200. In addition to this base pay, she earns a 3%3\% commission on her own personal sales and a 0.5%0.5\% override commission on the sales generated by her staff. Last month, her personal sales totaled $14,000\$14,000, and her staff's sales totaled $38,000\$38,000. What was the manager's total gross income for the month?

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Cevap: $3,810

Cevap

$3,810\$3,810
To find the total gross income, calculate the separate commissions and add them to the base salary. The personal commission is 3%3\% of $14,000\$14,000 (which is $420\$420) and the staff commission is 0.5%0.5\% of $38,000\$38,000 (which is $190\$190). Adding these variable amounts to the fixed $3,200\$3,200 base salary yields a total of $3,810\$3,810.

Adım Adım Çözüm

1
Calculate the commission earned from personal sales.
$14,000×0.03=$420\$14,000 \times 0.03 = \$420
The manager earns a 3% commission on her $14,000 of personal sales.
2
Calculate the override commission earned from staff sales.
$38,000×0.005=$190\$38,000 \times 0.005 = \$190
The manager earns a 0.5% commission on the $38,000 sold by her staff. Note that 0.5% is 0.005 in decimal form.
3
Add the base salary and both commission amounts to find the total gross income.
$3,200+$420+$190=$3,810\$3,200 + \$420 + \$190 = \$3,810
Gross income is the sum of all fixed pay and variable earnings before taxes.

Anahtar Kavram

Calculating Gross Pay with Base Salary and Multiple Commission Rates
Soru 30Soru →

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?

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Cevap: $1,990\$1,990

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.

Anahtar Kavram

Wages, Salaries, and Commissions
Tahmini Süre:1m 30s
Soru 31Soru →

An inside sales representative is compensated with a fixed weekly base pay of $450\$450. Furthermore, for any weekly sales volume surpassing an $8,000\$8,000 threshold, they receive a 5%5\% commission on the excess amount. If the representative generated $14,500\$14,500 in sales last week, what was their total gross pay for that week, in dollars?

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Cevap: 775

Cevap

775
The correct answer is determined by first finding the sales amount eligible for commission (14,500−14,500 - 8,000 = 6,500).Next,calculatethe56,500). Next, calculate the 5% commission on this excess amount ( 6,500 \times 0.05 = 325).Finally,addthiscommissiontothefixedweeklybasepaytofindthetotalgrosspay(325). Finally, add this commission to the fixed weekly base pay to find the total gross pay ( 450 + 325=325 = 775).

Adım Adım Çözüm

1
Determine the portion of sales subject to the commission rate.
$14,500−$8,000=$6,500\$14,500 - \$8,000 = \$6,500
The commission is only applied to the sales volume that surpasses the $8,000 threshold.
2
Calculate the commission earned on the excess sales.
$6,500×0.05=$325\$6,500 \times 0.05 = \$325
The representative earns 5% on the eligible sales amount.
3
Calculate the total gross pay.
$450+$325=$775\$450 + \$325 = \$775
Total gross pay is the sum of the fixed base pay and the earned commission.

Anahtar Kavram

Calculating total gross pay using a base salary and a commission rate applied to sales above a specified threshold.
Soru 32Soru →

A corporate travel agent earns a fixed base salary of $2,400\$2,400 per month, plus a 6%6\% commission on the total value of all bookings she makes. If her goal is to earn exactly $4,200\$4,200 in gross pay this month, what must be the total value of her bookings?

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Cevap: $30,000\$30,000

Cevap

$30,000\$30,000
The total gross pay consists of the base salary plus the commission. By subtracting the base salary of $2,400\$2,400 from the target gross pay of $4,200\$4,200, the required commission is determined to be $1,800\$1,800. Since the commission rate is 6%6\%, dividing $1,800\$1,800 by 0.060.06 yields the total required bookings of $30,000\$30,000.

Adım Adım Çözüm

1
Determine the amount of pay that must come from commission.
$4,200−$2,400=$1,800\$4,200 - \$2,400 = \$1,800
The base salary is a fixed amount, so the remainder of the target gross pay must be earned through commissions.
2
Convert the commission percentage to a decimal.
6%=0.066\% = 0.06
Percentages must be converted to decimals before they can be used in division calculations.
3
Calculate the total bookings required to earn the target commission.
$1,800÷0.06=$30,000\$1,800 \div 0.06 = \$30,000
Since commission is calculated as (Bookings × Commission Rate), dividing the required commission by the rate gives the required bookings.

Anahtar Kavram

Calculating required sales to meet a target income when given a base salary and a commission rate.
Soru 33Soru →

A wholesale electronics representative earns a guaranteed weekly base salary of $800\$800. In addition to the base salary, he earns a 5%5\% commission on any weekly sales that exceed a $2,000\$2,000 quota. If his total sales for the week were $6,500\$6,500, what was his total gross pay for the week?

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Cevap: $1,025\$1,025

Cevap

$1,025\$1,025
The total gross pay is the sum of the base salary and the earned commission. First, subtract the quota from total sales to find the commissionable amount: $6,500−$2,000=$4,500\$6,500 - \$2,000 = \$4,500. Next, calculate the 5%5\% commission on this amount: $4,500×0.05=$225\$4,500 \times 0.05 = \$225. Finally, add the commission to the base salary: $800+$225=$1,025\$800 + \$225 = \$1,025.

Adım Adım Çözüm

1
Determine the amount of sales eligible for commission by subtracting the quota from total sales.
$6,500−$2,000=$4,500\$6,500 - \$2,000 = \$4,500
The 5%5\% commission is only earned on sales that exceed the $2,000\$2,000 quota.
2
Calculate the commission amount by converting 5%5\% to a decimal and multiplying it by the eligible sales.
0.05×$4,500=$2250.05 \times \$4,500 = \$225
This determines the additional earnings from sales performance.
3
Add the calculated commission to the guaranteed base salary to find the total gross pay.
$800+$225=$1,025\$800 + \$225 = \$1,025
Total gross pay is the sum of all fixed and variable earnings.

Anahtar Kavram

Calculating total gross pay involving a base salary and a threshold-based commission.
Soru 34Soru →

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

Aşağıdaki boşlukları doldurun

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 $\$$.
Cevabı ve açıklamayı göster

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

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