1-7 calculating graduated commissions\nyou might be offered varying rates of commission based on several…

1-7 calculating graduated commissions\nyou might be offered varying rates of commission based on several different levels of sales. if you receive a different rate of commission when you reach a specified quota, you are paid what is known as a graduated commission.\ntotal graduated commission = sum of commissions for all sales levels\nexample\nfind the total graduated commission.\ndavid michaels is a used - car salesman. as an incentive to bolster sales, michaels manager offers the following graduated commission:\n|commission percentage|level of sales|\n|----|----|\n|2.5%|first $10,000|\n|5.0%|next $15,000|\n|8.0%|over $25,000|\nmichaels sales for the month of june were $32,000. find his total commission for the month.\n1. ($10,000×2.5%)=($10,000.00×0.025) = $250.00 commission level 1\n2. ($15,000×5%)=($15,000.00×0.05) = $750.00 commission level 2\n3. ($32,000 - $25,000)×8%=$7,000.00×0.08 = $560.00 commission level 3\n4. $250.00 + $750.00 + $560.00 = $1,560.00 total commission\npractice\nfind the total graduated commission.\n1. commission: 6 percent on first $10,000; 8 percent over $10,000. find the total graduated commission on $12,500.\n2. commission: 3 percent on first $2,500; 5 percent on second $2,500; 7.5 percent over $5,000. find the total graduated commission on $5,800.\n3. commission: $5 for the first 20 demonstrations; $7 for all demonstrations over 20. what is the total graduated commission for 28 demonstrations?\n4. sandra brown works as a beautician. she earns a $1 commission for the first 50 haircuts and a $1.50 commission for all haircuts over 50. in addition, she receives a base salary of $250 per week. if she performs 72 haircuts, what is her total pay for the week?\n5. standardized test practice mitchell gomez is an auto mechanic. he earns a base salary of $2,000 per month. in addition, he receives the following graduated commissions: 2 percent for the first $5,000 in repairs and 3 percent over $5,000. if he exceeds $10,000 in repairs, he is given a $500 bonus. what is gomezs total pay for the month if he does $10,125 in repairs?\na. $2,000 b. $2,750 c. $2,753.75 d. $2,253.75
Answer
Explanation:
Step1: Calculate first - level commission
For the first $10,000$ at 6% commission rate, the commission is $10000\times0.06=$600$.
Step2: Calculate second - level commission
The amount over $10,000$ is $12500 - 10000=$2500$. The commission on this amount at 8% is $2500\times0.08=$200$.
Step3: Calculate total commission
The total graduated commission is $600 + 200=$800$.
Answer:
$800$
Explanation:
Step1: Calculate first - level commission
For the first $2500$ at 3% commission rate, the commission is $2500\times0.03=$75$.
Step2: Calculate second - level commission
For the second $2500$ at 5% commission rate, the commission is $2500\times0.05=$125$.
Step3: Calculate third - level commission
The amount over $5000$ is $5800 - 5000=$800$. The commission on this amount at 7.5% is $800\times0.075=$60$.
Step4: Calculate total commission
The total graduated commission is $75+125 + 60=$260$.
Answer:
$260$
Explanation:
Step1: Calculate first - level commission
For the first 20 demonstrations at $5$ each, the commission is $20\times5=$100$.
Step2: Calculate second - level commission
The number of demonstrations over 20 is $28 - 20 = 8$. For these 8 demonstrations at $7$ each, the commission is $8\times7=$56$.
Step3: Calculate total commission
The total graduated commission is $100+56=$156$.
Answer:
$156$
Explanation:
Step1: Calculate first - level commission
For the first 50 haircuts at $1$ each, the commission is $50\times1=$50$.
Step2: Calculate second - level commission
The number of haircuts over 50 is $72 - 50=22$. For these 22 haircuts at $1.50$ each, the commission is $22\times1.5=$33$.
Step3: Calculate total pay
The base salary is $250$. The total pay is $250+50 + 33=$333$.
Answer:
$333$
Explanation:
Step1: Calculate first - level commission
For the first $5000$ in repairs at 2% commission rate, the commission is $5000\times0.02=$100$.
Step2: Calculate second - level commission
The amount over $5000$ but under $10000$ is $10000 - 5000=$5000$. The commission on this amount at 3% is $5000\times0.03=$150$.
Step3: Calculate amount over $10000$
The amount over $10000$ is $10125 - 10000=$125$. The commission on this amount at 3% is $125\times0.03=$3.75$.
Step4: Calculate total commission
The total commission is $100+150 + 3.75=$253.75$.
Step5: Calculate total pay
The base salary is $2000$ and there is a $500$ bonus. The total pay is $2000+253.75+500=$2753.75$.
Answer:
C. $$2,753.75$