Examkin

Financial Arithmetic

138 soru

Tüm türler138Çoktan seçmeli70Sayısal32Eşleştirme5Sıralama3Boşluk doldurma28
Soru 21Soru →

A musician purchases a sound amplifier with an original price of 350.00350.00. The store is offering a 15%15\% promotional discount on all electronics. After the discount is applied, a 6%6\% state sales tax is added to the purchase. What is the final total cost the musician pays?

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Cevap: 315.35315.35

Cevap

The final total cost is 315.35315.35.
To find the final cost, you must first calculate the 15% discount on the original 350price(350 price ( 350 \times 0.15 = 52.50).Subtractingthisgivesthediscountedsubtotal(52.50). Subtracting this gives the discounted subtotal ( 350 - 52.50=52.50 = 297.50). Next, calculate the 6% sales tax based strictly on this new subtotal (297.50×0.06=297.50 \times 0.06 = 17.85). Finally, add the sales tax to the discounted subtotal to find the final total cost (297.50+297.50 + 17.85 = $315.35).

Adım Adım Çözüm

1
Calculate the discount amount.
350.00×0.15=52.50350.00 \times 0.15 = 52.50
To find how much money is taken off the original price, multiply the original price by the decimal equivalent of the discount percentage.
2
Calculate the discounted price.
350.00−52.50=297.50350.00 - 52.50 = 297.50
Subtract the discount amount from the original price to find the subtotal before tax.
3
Calculate the sales tax.
297.50×0.06=17.85297.50 \times 0.06 = 17.85
Taxes are applied to the discounted purchase price. Multiply the subtotal by the decimal equivalent of the tax percentage.
4
Calculate the final total cost.
297.50+17.85=315.35297.50 + 17.85 = 315.35
Add the calculated sales tax to the discounted price to find the total amount paid.

Anahtar Kavram

Calculating sequential percentages by applying a discount to an original base price, and then calculating tax based on the new discounted subtotal.
Soru 22Soru →

A mechanic purchases a broken bicycle for $40\$40 at a garage sale. He then buys new tires and a chain for a total of $25\$25. After repairing the bicycle, he sells it for $110\$110. What is his total profit, in dollars?

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Cevap: 45

Cevap

45
The total cost is the sum of the purchase price ($40\$40) and the repair parts ($25\$25), which is $65\$65. The profit is found by subtracting this total cost from the selling price ($110\$110), which gives $45\$45.

Adım Adım Çözüm

1
Calculate the total cost.
$40+$25=$65\$40 + \$25 = \$65
The total cost includes the purchase price plus the cost of the repair parts.
2
Calculate the profit.
$110−$65=$45\$110 - \$65 = \$45
Profit is the difference between the selling price and the total cost.

Anahtar Kavram

Profit is calculated by subtracting all associated costs (purchase price plus any overhead or repairs) from the final selling price.
Soru 23Soru →

A small business hires a contractor to install a new office security system. The initial quote for the work is 800.Afternegotiating,thebusinessreceivesa15800. After negotiating, the business receives a 15% discount on the initial quote. The installation is subject to a 5% local service tax, which is applied to the discounted price. To show appreciation for completing the job ahead of schedule, the business adds a 10% tip calculated from the original 800 quote. What is the total amount the business pays in dollars?

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Cevap: 794

Cevap

794
To find the total amount paid, we must sequentially apply the rates to their correct base amounts. First, find the discounted price by subtracting 15% of 800(800 ( 120) from the original quote, yielding 680.Next,calculatethe5680. Next, calculate the 5% tax on this discounted price ( 680 × 0.05 = 34).Then,calculatethe1034). Then, calculate the 10% tip based on the original quote as specified in the scenario ( 800 × 0.10 = 80).Thefinaltotalisthesumofthediscountedprice,thetaxamount,andthetipamount:80). The final total is the sum of the discounted price, the tax amount, and the tip amount: 680 + 34+34 + 80 = $794.

Adım Adım Çözüm

1
Calculate the discount amount
$120
The business received a 15% discount on the initial $800 quote.
2
Determine the discounted price
$680
Subtracting the 120discountfromthe120 discount from the 800 initial quote gives the new base price for the tax.
3
Calculate the local service tax
$34
The 5% tax is applied to the discounted price of 680(0.05×680 (0.05 × 680 = $34).
4
Calculate the tip amount
$80
The problem states the 10% tip is specifically based on the original 800quote(0.10×800 quote (0.10 × 800 = $80).
5
Calculate the final total
$794
Add the discounted price (680),thetax(680), the tax ( 34), and the tip ($80) to find the total amount paid.

Anahtar Kavram

Calculating percentage discounts, taxes, and tips when applied to different base amounts.
Soru 24Soru →

A local cafe owner purchases 5050 pounds of raw coffee beans for $12\$12 per pound. The owner pays a flat shipping fee of $40\$40 for the delivery. During the roasting process, the beans lose 20%20\% of their original weight. If the owner wants to make a 50%50\% profit on the total cost of the order, what must be the selling price per pound of the roasted beans?

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Cevap: $24.00\$24.00

Cevap

The required selling price per pound of the roasted beans is $24.00\$24.00.
To find the selling price per pound, we must first determine the total cost. The beans cost 50×$12=$60050 \times \$12 = \$600, plus $40\$40 for shipping, making the total cost $640\$640. A 50%50\% profit on $640\$640 is $320\$320, so the target total revenue is $640+$320=$960\$640 + \$320 = \$960. Next, we must account for the 20%20\% weight loss during roasting. The initial 5050 pounds loses 1010 pounds (0.20×50=100.20 \times 50 = 10), leaving 4040 pounds of sellable roasted beans. Dividing the target revenue by the sellable weight ($960÷40\$960 \div 40) gives exactly $24.00\$24.00 per pound.

Adım Adım Çözüm

1
Calculate the total cost of purchasing and shipping the raw coffee beans.
50 lbs×$12/lb=$60050 \text{ lbs} \times \$12/\text{lb} = \$600. Adding the $40\$40 shipping fee gives a total cost of $640\$640.
Profit must be calculated based on the complete overhead and initial investment.
2
Determine the target total revenue required to make a 50%50\% profit.
50%50\% of $640\$640 is $320\$320. The total target revenue is $640+$320=$960\$640 + \$320 = \$960.
The final sales must cover both the initial cost and the desired profit margin.
3
Calculate the final weight of the beans after the roasting process.
The beans lose 20%20\% of their weight. 20%20\% of 50 lbs50 \text{ lbs} is 10 lbs10 \text{ lbs}. The remaining weight is 50−10=40 lbs50 - 10 = 40 \text{ lbs}.
The owner can only sell the roasted beans, so the selling price must be based on the final weight.
4
Calculate the required selling price per pound.
$960÷40 lbs=$24.00 per pound\$960 \div 40 \text{ lbs} = \$24.00 \text{ per pound}.
Dividing the total target revenue by the total sellable pounds yields the unit price.

Anahtar Kavram

Calculating multi-step profit requires finding the total investment cost (including overhead), applying the profit percentage to find target revenue, and distributing that target revenue over the final sellable inventory.
Soru 25Soru →

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?

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Cevap: $6,570\$6,570

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.
Soru 26Soru →

A retail salesperson earns a weekly base salary of 400plusa5400 plus a 5% commission on their total sales. If the salesperson sells 2,000 worth of merchandise in a given week, what is their total gross pay for that week?

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Cevap: $500

Cevap

$500
The total gross pay is found by adding the base salary to the commission earned. The commission is 5% of 2,000,whichis2,000, which is 100. Adding this to the base salary of 400givesatotalof400 gives a total of 500.

Adım Adım Çözüm

1
Calculate the commission earned on the total sales.
2,000×0.05=2,000 \times 0.05 = 100
The commission is a percentage of the total sales for the week.
2
Add the earned commission to the base salary to find the total gross pay.
400+400 + 100 = $500
Total gross pay equals the guaranteed base salary plus any commission earned.

Anahtar Kavram

Calculating total compensation using a base salary plus a percentage commission on sales.
Soru 27Soru →

A platoon leader is organizing a holiday banquet for their unit at a local restaurant. The initial food and beverage total is $400.00\$400.00. The restaurant offers a 15%15\% military discount on this total. A 5%5\% local sales tax and a 20%20\% gratuity (tip) are then applied. If both the tax and the gratuity are calculated based on the discounted total, what is the final overall cost of the banquet?

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Cevap: $425.00\$425.00

Cevap

The final overall cost of the banquet is $425.00\$425.00.
The correct answer accurately determines the discount (60),subtractsittofindthenewsubtotal(60), subtracts it to find the new subtotal ( 340), calculates the tax (17)andtip(17) and tip ( 68) based on that new subtotal, and adds everything together (340+340 + 17 + 68)toreachthetotalof68) to reach the total of 425.00.

Adım Adım Çözüm

1
Calculate the dollar amount of the military discount.
15%15\% of $400.00=0.15×$400.00=$60.00\$400.00 = 0.15 \times \$400.00 = \$60.00
The discount must be determined before calculating the new taxable subtotal.
2
Subtract the discount from the initial total to find the discounted subtotal.
$400.00−$60.00=$340.00\$400.00 - \$60.00 = \$340.00
This establishes the new base amount on which the tax and gratuity will be calculated.
3
Calculate the sales tax on the discounted subtotal.
5%5\% of $340.00=0.05×$340.00=$17.00\$340.00 = 0.05 \times \$340.00 = \$17.00
The problem states the 5%5\% tax is applied to the discounted total.
4
Calculate the gratuity (tip) on the discounted subtotal.
20%20\% of $340.00=0.20×$340.00=$68.00\$340.00 = 0.20 \times \$340.00 = \$68.00
The problem specifies the gratuity is also calculated based on the discounted total.
5
Add the discounted subtotal, tax, and gratuity to find the final cost.
$340.00+$17.00+$68.00=$425.00\$340.00 + \$17.00 + \$68.00 = \$425.00
Summing the adjusted base cost with all applicable fees gives the total amount due.

Anahtar Kavram

Taxes and Tips
Soru 28Soru →

Determine the commission earned and fill in the blank.

Aşağıdaki boşlukları doldurun

A travel agent receives a 4%4\% commission on all vacation packages they book. If the agent books a luxury cruise package priced at $8,500\$8,500, their commission for this booking is $\$ .
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Cevap

340
The travel agent's commission is calculated by taking 4%4\% of the total package price of $8,500\$8,500. Converting 4%4\% to 0.040.04 and multiplying by $8,500\$8,500 gives exactly $340\$340.

Adım Adım Çözüm

1
Convert the commission percentage to a decimal.
4%=0.044\% = 0.04
Percentages must be converted to decimals before performing multiplication to find a part of a whole.
2
Multiply the total sales price by the decimal commission rate.
$8,500×0.04=$340\$8,500 \times 0.04 = \$340
A commission is calculated as a percentage of the total sales amount.

Anahtar Kavram

Calculating commission based on a fixed percentage of a total sale amount.
Soru 29Soru →

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

Aşağıdaki boşlukları doldurun

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 $\$$.
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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
Soru 30Soru →

A corporate team books a conference center for a retreat. The venue charges $1,200\$1,200 for the room rental and $800\$800 for the catering. The contract specifies a 5%5\% local tax that applies only to the room rental, and an 18%18\% mandatory gratuity that applies only to the catering. Calculate the required values based on this information.

Aşağıdaki boşlukları doldurun

The tax amount is $\$,thegratuityis, the gratuity is \$,andthefinaltotalcostis, and the final total cost is \$$.
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Cevap

Tax: $60\$60, Gratuity: $144\$144, Total: $2,204\$2,204
To find the final total, the tax and gratuity must be calculated separately based on their respective costs. The 5%5\% tax on the $1,200\$1,200 room is $60\$60. The 18%18\% gratuity on the $800\$800 catering is $144\$144. Adding the original costs ($1,200+$800=$2,000\$1,200 + \$800 = \$2,000) to the tax ($60\$60) and gratuity ($144\$144) yields a final total of $2,204\$2,204.

Adım Adım Çözüm

1
Calculate the local tax on the room rental.
$1,200×0.05=$60\$1,200 \times 0.05 = \$60
The 5%5\% tax only applies to the $1,200\$1,200 room rental cost.
2
Calculate the mandatory gratuity on the catering.
$800×0.18=$144\$800 \times 0.18 = \$144
The 18%18\% gratuity only applies to the $800\$800 catering cost.
3
Calculate the final total cost of the retreat.
$1,200+$800+$60+$144=$2,204\$1,200 + \$800 + \$60 + \$144 = \$2,204
The final invoice includes the original room and catering costs, plus the calculated tax and gratuity.

Anahtar Kavram

Calculating specific taxes and tips based on different principal amounts within a single transaction.
Soru 31Soru →

A small business owner takes out a $12,500\$12,500 personal loan to finance new equipment. The loan agreement specifies an annual simple interest rate of 6.4%6.4\%. If the owner repays the loan in full at the end of 4545 months, what is the total amount that must be repaid?

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Cevap: $15,500\$15,500

Cevap

$15,500\$15,500
The correct total amount to repay is found by first converting the 45-month term into years by dividing by 12, which gives 3.75 years. Next, the simple interest is calculated by multiplying the principal ($12,500\$12,500), the annual rate as a decimal (0.0640.064), and the time in years (3.753.75) to get $3,000\$3,000. Finally, adding this interest to the original principal yields the total repayment amount of $15,500\$15,500.

Adım Adım Çözüm

1
Convert the loan duration from months to years.
45 months÷12 months/year=3.75 years45 \text{ months} \div 12 \text{ months/year} = 3.75 \text{ years}
The interest rate is an annual rate, so the time period in the formula must be expressed in years.
2
Calculate the total simple interest earned over the period.
I=P×r×t=$12,500×0.064×3.75=$3,000I = P \times r \times t = \$12,500 \times 0.064 \times 3.75 = \$3,000
This determines the additional cost of borrowing the money for the specified time.
3
Add the calculated interest to the original principal to find the total repayment amount.
A=$12,500+$3,000=$15,500A = \$12,500 + \$3,000 = \$15,500
The question asks for the total amount that must be repaid, which includes both the principal balance and the accumulated interest.

Anahtar Kavram

To find the total amount to be repaid on a loan, you must calculate the simple interest using the formula I=P×r×tI = P \times r \times t, ensuring the time tt is converted to years, and then add this interest to the principal PP.
Soru 32Soru →

A medical equipment representative earns a base salary of $800 per week plus a tiered commission on weekly sales. The commission structure is as follows:

- 3% on the first 10,000ofsales−510,000 of sales - 5% on the next 15,000 of sales
- 7.5% on any sales exceeding $25,000

During a specific week, the representative's total sales are 32,000.Additionally,therepresentativereceivesa32,000. Additionally, the representative receives a 150 bonus for exceeding 30,000insales,butmustpay30,000 in sales, but must pay 275 out-of-pocket for weekly travel expenses which are deducted from their gross earnings. What are the representative's net earnings for the week?

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Cevap: $2,250

Cevap

$2,250
The net earnings are correctly found by evaluating the sales across three tiers: 3% on the first 10,000(10,000 ( 300), 5% on the next 15,000(15,000 ( 750), and 7.5% on the remaining 7,000(7,000 ( 525). Adding this 1,575commissiontothe1,575 commission to the 800 base salary and 150bonusyieldsgrossearningsof150 bonus yields gross earnings of 2,525. Subtracting the 275inexpensesresultsinafinalnetpayof275 in expenses results in a final net pay of 2,250.

Adım Adım Çözüm

1
Calculate the commission on the first tier (0to0 to 10,000).
10,000×0.03=10,000 \times 0.03 = 300
The first $10,000 of sales earns a 3% commission.
2
Calculate the commission on the second tier (10,000to10,000 to 25,000).
15,000×0.05=15,000 \times 0.05 = 750
The next $15,000 of sales earns a 5% commission.
3
Calculate the commission on the third tier (sales exceeding $25,000).
Total sales (32,000)−32,000) - 25,000 = 7,000.7,000. 7,000 \times 0.075 = $525
The remaining sales amount above $25,000 earns a 7.5% commission.
4
Determine total commission.
300+300 + 750 + 525=525 = 1,575
Total commission is the sum of earnings from all three tiers.
5
Calculate net earnings.
800(base)+800 (base) + 1,575 (commission) + 150(bonus)−150 (bonus) - 275 (expenses) = $2,250
Net earnings equal base salary plus total commission plus bonuses minus deductions.

Anahtar Kavram

Calculating tiered commissions, bonuses, and deductions to determine net earnings.
Soru 33Soru →

A car rental agent earns a base weekly salary of 500.Inaddition,theyearna5500. In addition, they earn a 5% commission on any rental upgrades they sell. If the agent sells 800 worth of upgrades in one week, what is their total weekly pay?

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Cevap: $540

Cevap

$540
The total weekly pay is found by adding the base salary and the commission. The commission is 5% of the 800inupgradesales,whichequals800 in upgrade sales, which equals 40. Adding the 40commissiontothe40 commission to the 500 base salary results in a total of $540.

Adım Adım Çözüm

1
Calculate the commission earned from the upgrade sales.
$800×0.05=$40\$800 \times 0.05 = \$40
The agent earns 5% on all rental upgrades sold.
2
Add the commission to the base salary to find the total weekly pay.
$500+$40=$540\$500 + \$40 = \$540
Total pay is the sum of the guaranteed base salary and the variable commission.

Anahtar Kavram

Calculating total earnings by adding a percentage-based commission to a fixed base salary.
Soru 34Soru →

A food truck operator buys 3030 pounds of beef at $8\$8 per pound and spends an additional $60\$60 on packaging and spices. From these supplies, the operator prepares 8080 meals and sells them for $6\$6 each. What is the operator's net profit as a percentage of their total cost?

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Cevap: 60%60\%

Cevap

The operator's net profit as a percentage of their total cost is 60%60\%.
The total cost is the sum of the beef ($240\$240) and the packaging/spices ($60\$60), which equals $300\$300. The total revenue is 8080 meals sold at $6\$6 each, equaling $480\$480. The net profit is the revenue minus the total cost ($480−$300=$180\$480 - \$300 = \$180). To find the profit percentage based on the total cost, divide the net profit by the total cost and multiply by 100100: ($180÷$300)×100=60%(\$180 \div \$300) \times 100 = 60\%.

Adım Adım Çözüm

1
Calculate the total cost of all supplies.
30 pounds×$8/pound=$24030 \text{ pounds} \times \$8/\text{pound} = \$240. Adding the overhead: $240+$60=$300\$240 + \$60 = \$300 total cost.
The total cost must include both the direct material cost and any additional expenses.
2
Calculate the total revenue from selling the meals.
80 meals×$6/meal=$48080 \text{ meals} \times \$6/\text{meal} = \$480 total revenue.
Total revenue is the amount generated from sales before any costs are deducted.
3
Determine the net profit.
$480 (revenue)−$300 (total cost)=$180 net profit\$480 \text{ (revenue)} - \$300 \text{ (total cost)} = \$180 \text{ net profit}.
Net profit is the amount of money remaining after subtracting all costs from the revenue.
4
Calculate the net profit as a percentage of the total cost.
($180÷$300)×100=60%(\$180 \div \$300) \times 100 = 60\%.
The question asks for the profit percentage based on the total cost.

Anahtar Kavram

Calculating net profit by subtracting total expenses from total revenue, and expressing it as a percentage of the total cost.
Soru 35Soru →

A developer issues a short-term promissory note to cover construction costs. The note carries an annual simple interest rate of 8%8\%. After 99 months, the developer repays a total of $42,400\$42,400, which includes both the original principal borrowed and the interest earned. What was the original principal amount borrowed, in dollars?

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Cevap: 40000

Cevap

40000
The original principal is found by utilizing the total amount formula for simple interest, A=P(1+rt)A = P(1 + rt), and solving for PP. By substituting A=42,400A = 42,400, r=0.08r = 0.08, and t=0.75t = 0.75 years (from 99 months), the equation simplifies to 1.06P=42,4001.06P = 42,400, which yields a principal of $40,000.

Adım Adım Çözüm

1
Identify the known variables from the word problem.
Total Amount (AA) = 42,40042,400, Rate (rr) = 8%=0.088\% = 0.08, Time (tt) = 99 months.
Extracting the specific numbers and their corresponding variables is required before applying any formulas.
2
Convert the time duration from months into years.
t=912=0.75t = \frac{9}{12} = 0.75 years.
Simple interest formulas require the time unit to match the rate unit, which is annual (8%8\% per year).
3
Apply the total amount simple interest formula and substitute the values.
42,400=P(1+0.08×0.75)42,400 = P(1 + 0.08 \times 0.75)
The total amount paid back (42,40042,400) includes both the principal (PP) and the interest (PrtPrt), factored out as P(1+rt)P(1 + rt).
4
Simplify the equation.
42,400=P(1+0.06)⇒42,400=1.06P42,400 = P(1 + 0.06) \Rightarrow 42,400 = 1.06P
Multiplying the rate by the time yields the total interest multiplier (6%6\% or 0.060.06), adding it to 11 gives the total amount multiplier.
5
Solve for the principal (PP).
P=42,4001.06=40,000P = \frac{42,400}{1.06} = 40,000
Isolating PP gives the original amount borrowed. The division can be calculated mentally by noting that 424424 is 4×1064 \times 106.

Anahtar Kavram

Solving for Principal in a Simple Interest Total Amount Scenario
Soru 36Soru →

A furniture restorer buys an antique dining set for $250\$250. The restorer spends $80\$80 on wood stain and varnish, and pays an upholsterer $170\$170 to repair the chair cushions. After the restoration is complete, the dining set is sold for $800\$800. What is the restorer's profit as a percentage of their total cost?

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Cevap: 60

Cevap

60%
By summing the initial price and all repair costs, we find the total investment is 500.Subtractingthisfromthe500. Subtracting this from the 800 selling price yields a 300profit.Theprofitisthendividedbythetotalcost(300 profit. The profit is then divided by the total cost ( 300 / $500) to find the 60% profit.

Adım Adım Çözüm

1
Calculate the total cost of the dining set project.
$250+$80+$170=$500\$250 + \$80 + \$170 = \$500
The total cost must include the initial purchase price plus any additional expenses incurred before selling the item.
2
Calculate the total profit made on the sale.
$800−$500=$300\$800 - \$500 = \$300
Profit is the difference between the final selling price and the total cost.
3
Calculate the profit as a percentage of the total cost.
$300$500×100=60%\frac{\$300}{\$500} \times 100 = 60\%
Percentage profit is found by dividing the dollar amount of profit by the original total cost and converting to a percentage.

Anahtar Kavram

Calculating profit percentage after accounting for overhead and multi-step production costs.
Tahmini Süre:1m 15s
Soru 37Soru →

A delivery driver earns a base pay of 80.00perdayplus80.00 per day plus 3.50 for each package delivered. If the driver delivers 40 packages in one day, what is the driver's total gross pay for that day, in dollars?

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Cevap: 220

Cevap

220
The total gross pay is the sum of the fixed base pay (80.00)andthevariabledeliveryearnings(40packages×80.00) and the variable delivery earnings (40 packages × 3.50 per package = 140.00),whichyieldsatotalof140.00), which yields a total of 220.00.

Adım Adım Çözüm

1
Calculate earnings from package deliveries
$140.00
The driver earns $3.50 for each of the 40 packages delivered (40 × 3.50).
2
Calculate total gross pay
$220.00
Add the base daily pay (80.00)tothedeliveryearnings(80.00) to the delivery earnings ( 140.00) to find the total amount earned for the day.

Anahtar Kavram

Calculating total gross pay using a combination of base pay and piece-rate pay
Tahmini Süre:45s
Soru 38Soru →

Determine the total gross earnings based on the provided compensation structure.

Aşağıdaki boşlukları doldurun

A regional manager for a logistics company earns a base monthly salary of $3,200\$3,200. She receives a 5%5\% commission on her first $40,000\$40,000 in logistics contracts, and an 8%8\% commission on any contract sales exceeding $40,000\$40,000 within the month. If she secures $65,000\$65,000 in contract sales this month, her total gross earnings will be $\$$.
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Cevap

7200
The correct total is found by breaking the earnings into three parts: the 3,200basesalary,the53,200 base salary, the 5% commission on the first 40,000 (2,000),andthe82,000), and the 8% commission on the remaining 25,000 (2,000).Addingthesetogetheryields2,000). Adding these together yields 7,200.

Adım Adım Çözüm

1
Calculate the commission earned on the first tier of sales.
0.05×40,000=$2,0000.05 \times 40,000 = \$2,000
The manager earns a 5% commission on the first $40,000 in sales.
2
Determine the amount of sales that fall into the second commission tier.
65,000−40,000=$25,00065,000 - 40,000 = \$25,000
Sales exceeding the $40,000 threshold are subject to a different commission rate.
3
Calculate the commission earned on the second tier of sales.
0.08×25,000=$2,0000.08 \times 25,000 = \$2,000
The manager earns an 8% commission on the $25,000 that exceeded the initial threshold.
4
Sum the base salary and all commissions to find the total gross earnings.
3,200+2,000+2,000=$7,2003,200 + 2,000 + 2,000 = \$7,200
Total earnings equal the base salary plus the sum of all tiered commissions.

Anahtar Kavram

Calculating total compensation using a base salary combined with a tiered commission structure.
Soru 39Soru →

A contractor purchases a bulk order of electrical wiring from a wholesale supply store. The store offers a 25%25\% discount on all orders over $500\$500. Because the contractor is a loyal member, they receive an additional 10%10\% off the already discounted price. After both discounts are applied, an 8%8\% sales tax is added. If the original price of the electrical wiring order was $800\$800, what is the final total amount the contractor pays?

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Cevap: $583.20\$583.20

Cevap

The final total amount the contractor pays is $583.20\$583.20.
The final amount must be calculated sequentially. First, apply the 25%25\% discount to $800\$800, resulting in $600\$600. Then, apply the 10%10\% loyal member discount to $600\$600, resulting in $540\$540. Finally, calculate 8%8\% sales tax on the $540\$540 final price ($540×0.08=$43.20\$540 \times 0.08 = \$43.20) and add it to the price to get $\$583.20.

Adım Adım Çözüm

1
Calculate the first 25%25\% discount on the original $800\$800 price.
$800×0.25=$200\$800 \times 0.25 = \$200 discount. The new price is $800−$200=$600\$800 - \$200 = \$600.
The first discount is applied to the original wholesale price.
2
Calculate the second 10%10\% loyal member discount on the new price of $600\$600.
$600×0.10=$60\$600 \times 0.10 = \$60 discount. The new price is $600−$60=$540\$600 - \$60 = \$540.
Successive discounts are always applied to the previously discounted amount, not the original price.
3
Calculate the 8%8\% sales tax on the final discounted price and add it to the total.
$540×0.08=$43.20\$540 \times 0.08 = \$43.20 tax. The final total is $540+$43.20=$583.20\$540 + \$43.20 = \$583.20.
Sales tax is applied to the final amount after all discounts have been deducted.

Anahtar Kavram

Calculating successive discounts and applying sales tax to the final discounted price.
Soru 40Soru →

A mechanic takes out a $3,000\$3,000 loan to purchase upgraded tools. The loan agreement includes a 4%4\% annual simple interest rate. If the loan is paid off in exactly 33 years, what is the total amount of interest paid?

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Cevap: 360

Cevap

360
The simple interest formula is I=P×R×TI = P \times R \times T. By plugging in the principal ($3,000\$3,000), the decimal interest rate (0.040.04), and the time (33 years), the calculation is 3000×0.04×3=3603000 \times 0.04 \times 3 = 360. Therefore, the total interest paid is $360\$360.

Adım Adım Çözüm

1
Identify the given values from the problem statement.
P=3000P = 3000, R=4%R = 4\%, T=3T = 3 years
These are the required variables for the simple interest formula.
2
Convert the percentage rate to a decimal.
R=0.04R = 0.04
Percentages must be in decimal form to perform calculations.
3
Apply the simple interest formula I=P×R×TI = P \times R \times T.
I=3000×0.04×3I = 3000 \times 0.04 \times 3
This formula calculates the total interest earned or paid over a specific time period.
4
Calculate the final product.
360360
Multiplying the principal by the rate gives the interest for one year (120120), and multiplying by 3 gives the total for three years.

Anahtar Kavram

Calculating simple interest over a multi-year period.
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