Examkin

Profit and Loss

20 soru

Tüm türler20Çoktan seçmeli11Sayısal4Eşleştirme5
Soru 1Soru →

A rare book dealer recorded the financial details for four different inventory items. Match each item's transaction history to its final profit or loss percentage.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

First edition novel: purchased for $120\$120 and sold for $150\$150
Antique atlas: purchased for $300\$300, plus $100\$100 for restoration, and sold for $320\$320
Signed biography: purchased for $60\$60 and sold for $90\$90
Vintage encyclopedias: purchased for $80\$80 and sold for $72\$72

Eşleşmeler

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Cevap

The transactions match their respective percentages by dividing the net dollar profit or loss by the total initial cost.
Each correct pair accurately reflects the percentage change from the initial total investment. The total cost always serves as the base (denominator) for these percentage calculations.

Adım Adım Çözüm

1
Calculate the profit percentage for the first edition novel.
Profit is $150−$120=$30\$150 - \$120 = \$30. Percentage is 30120=25%\frac{30}{120} = 25\%.
To find the profit percentage, divide the absolute profit by the original purchase cost.
2
Calculate the total cost and loss percentage for the antique atlas.
Total cost is $300+$100=$400\$300 + \$100 = \$400. Loss is $400−$320=$80\$400 - \$320 = \$80. Percentage is 80400=20%\frac{80}{400} = 20\%.
Overhead and restoration costs must be added to the purchase price to determine the true initial cost.
3
Calculate the profit percentage for the signed biography.
Profit is $90−$60=$30\$90 - \$60 = \$30. Percentage is 3060=50%\frac{30}{60} = 50\%.
Dividing the absolute profit by the initial cost provides the correct percentage.
4
Calculate the loss percentage for the vintage encyclopedias.
Loss is $80−$72=$8\$80 - \$72 = \$8. Percentage is 880=10%\frac{8}{80} = 10\%.
Dividing the dollar loss by the original cost yields the correct loss percentage.

Anahtar Kavram

Calculating profit and loss percentages by dividing the net financial change by the total initial cost, ensuring all overhead is included.
Soru 2Soru →

A bakery owner purchases a commercial oven for $2,400\$2,400. She pays $250\$250 for freight shipping and $150\$150 for professional installation. If she later sells the oven for a 15%15\% loss on her total initial investment, what is the selling price in dollars?

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Cevap: 2380

Cevap

2380
The correct answer is found by first determining the total investment ($2,400+$250+$150=$2,800\$2,400 + \$250 + \$150 = \$2,800), then finding the 15%15\% loss (0.15×$2,800=$4200.15 \times \$2,800 = \$420), and finally subtracting that loss from the total investment to get the selling price ($2,800−$420=$2,380\$2,800 - \$420 = \$2,380).

Adım Adım Çözüm

1
Calculate the total initial investment.
$2,400+$250+$150=$2,800\$2,400 + \$250 + \$150 = \$2,800
All overhead costs must be added to the purchase price to find the true total cost.
2
Calculate the dollar amount of the 15%15\% loss.
0.15×$2,800=$4200.15 \times \$2,800 = \$420
The loss is based on the total initial investment, not just the purchase price.
3
Determine the final selling price.
$2,800−$420=$2,380\$2,800 - \$420 = \$2,380
Subtracting the loss amount from the total investment gives the selling price.

Anahtar Kavram

Calculating total cost including overhead, and applying a percentage loss to find the final selling price.

Alternatif Yöntem

Instead of calculating the loss and subtracting it, you can multiply the total investment by 85%85\% (since 100%−15%=85%100\% - 15\% = 85\%). 0.85×$2,800=$2,3800.85 \times \$2,800 = \$2,380.
Tahmini Süre:1m 0s
Soru 3Soru →

Match each landscaping supply transaction to its correct final profit or loss percentage.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Purchased a soil pallet for 200andsolditfor200 and sold it for 250.
Bought a used lawnmower for 400,spent400, spent 100 on repairs, and sold it for $400.
Acquired a set of gardening tools for 150andsoldthemonclearancefor150 and sold them on clearance for 90.
Purchased decorative stones for 300andsoldthemfor300 and sold them for 600.

Eşleşmeler

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Cevap

The soil pallet transaction resulted in a 25% profit. The lawnmower transaction resulted in a 20% loss. The gardening tools transaction resulted in a 40% loss. The decorative stones transaction resulted in a 100% profit.
Each matching pair accurately reflects the transaction's net profit or loss divided by the total initial cost (including any overhead).

Adım Adım Çözüm

1
Calculate the percentage profit for the soil pallet.
Profit = 250−250 - 200 = 50.Percentage=(50. Percentage = ( 50 / $200) * 100 = 25%. This matches the '25% profit' option.
Profit is the positive difference between the selling price and cost. The percentage is always calculated over the original cost.
2
Determine the total initial cost of the lawnmower including overhead, then find the percentage loss.
Total cost = 400+400 + 100 = 500.Loss=500. Loss = 500 - 400=400 = 100. Percentage = (100/100 / 500) * 100 = 20%. This matches the '20% loss' option.
Overhead expenses (like repairs) must be added to the initial purchase price to find the true total cost basis before evaluating profit or loss.
3
Calculate the percentage loss for the gardening tools.
Loss = 150−150 - 90 = 60.Percentage=(60. Percentage = ( 60 / $150) * 100 = 40%. This matches the '40% loss' option.
Loss is the negative difference between the selling price and cost, and the percentage is found by dividing that difference by the original cost.
4
Calculate the percentage profit for the decorative stones.
Profit = 600−600 - 300 = 300.Percentage=(300. Percentage = ( 300 / $300) * 100 = 100%. This matches the '100% profit' option.
When an item is sold for exactly double its purchase price, the profit equals the original cost, which corresponds to a 100% return.

Anahtar Kavram

Calculating percentage profit and loss based on total cost

Alternatif Yöntem

For profit scenarios, you can divide the selling price directly by the cost price to get a multiplier. For the decorative stones: 600/600 / 300 = 2.0. A multiplier of 2.0 corresponds to a 100% increase (profit).
Tahmini Süre:1m 30s
Soru 4Soru →

A vendor purchases a vintage jacket for 6060 dollars and later sells it at a market for 7575 dollars. What is the vendor's profit percentage on this item?

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Cevap: 25%25\%

Cevap

The vendor's profit percentage is 25%25\%.
The total profit is found by subtracting the cost price (6060) from the selling price (7575), resulting in a 1515 dollar profit. To find the profit percentage, you must divide the profit by the original cost price (15÷60=0.2515 \div 60 = 0.25). Converting the decimal 0.250.25 to a percentage gives 25%25\%.

Adım Adım Çözüm

1
Calculate the dollar amount of the profit.
75−60=1575 - 60 = 15
Profit is the difference between the selling price and the cost price.
2
Divide the profit by the original cost price.
1560=0.25\frac{15}{60} = 0.25
Profit percentage is based on the original cost, not the final selling price.
3
Convert the resulting decimal to a percentage.
0.25×100=25%0.25 \times 100 = 25\%
The question asks for the final answer in percentage format.

Anahtar Kavram

Calculating profit percentage using the original cost as the base value.
Tahmini Süre:45s
Soru 5Soru →

Match each buy-and-sell transaction to the correct dollar amount of profit or loss.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Buy a tool set for $40\$40 and sell it for $65\$65.
Buy a used guitar for $200\$200 and sell it for $150\$150.
Buy a blender for $30\$30 and sell it for $30\$30.
Buy a winter coat for $85\$85 and sell it for $100\$100.

Eşleşmeler

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Cevap

Tool set matches $25\$25 Profit; Guitar matches $50\$50 Loss; Blender matches $0\$0 (Break-even); Winter coat matches $15\$15 Profit.
Profit is correctly calculated when the selling price is higher than the cost price. A loss occurs when the selling price is lower than the cost price, and breaking even occurs when the two prices are identical.

Adım Adım Çözüm

1
Calculate the difference between the selling price and the cost price for each transaction.
Tool set: $65−$40=$25\$65 - \$40 = \$25. Guitar: $150−$200=−$50\$150 - \$200 = -\$50. Blender: $30−$30=$0\$30 - \$30 = \$0. Coat: $100−$85=$15\$100 - \$85 = \$15.
The difference determines the amount of money gained or lost on each item.
2
Determine if each result is a profit, loss, or break-even.
Positive values ($25\$25, $15\$15) are profits. The negative value (−$50-\$50) is a loss. Zero ($0\$0) is a break-even.
A positive difference means money was made (profit), a negative difference means money was lost (loss), and zero means no change in value.

Anahtar Kavram

Calculating absolute profit or loss by finding the difference between selling price and cost price.
Soru 6Soru →

A landscaper purchases a used backpack leaf blower for 240.Aweeklater,theyselltheequipmenttoanothercontractorfor240. A week later, they sell the equipment to another contractor for 300. What is the landscaper's profit percentage?

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Cevap: 25%

Cevap

25%
To find the profit percentage, first calculate the total profit by subtracting the cost (240)fromthesellingprice(240) from the selling price ( 300), which equals 60.Then,dividethatprofitbytheoriginalcost(60. Then, divide that profit by the original cost ( 240). 60dividedby60 divided by 240 is 0.25, which translates to a 25% profit.

Adım Adım Çözüm

1
Determine the dollar amount of the profit by subtracting the original purchase price from the selling price.
300−300 - 240 = $60
Profit is the positive difference between revenue (selling price) and expenses (cost price).
2
Set up a fraction or division problem placing the profit over the original cost price.
60 / 240
Profit percentage is always calculated relative to the original cost, not the final selling price.
3
Simplify the fraction and convert it into a percentage.
60 / 240 = 1 / 4 = 0.25 = 25%
Converting the decimal ratio to a percentage provides the final answer.

Anahtar Kavram

Profit Percentage Calculation

Alternatif Yöntem

You can also solve this by dividing the selling price by the cost price first (300/300 / 240 = 1.25). Because 1.00 represents the original 100% cost, the decimal portion remaining (0.25) represents the profit, which is 25%.
Tahmini Süre:45s
Soru 7Soru →

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 8Soru →

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 9Soru →

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 10Soru →

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 11Soru →

An electronics refurbisher buys a lot of 55 broken laptops for $300\$300. The refurbisher spends an additional $150\$150 on replacement parts and $50\$50 on shipping. If the refurbisher wants to make a 40%40\% profit on the total investment, what must be the average selling price of each laptop?

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Cevap: $140\$140

Cevap

The correct selling price is $140\$140 per laptop.
The total investment is the sum of all costs: $300\$300 for the broken laptops, $150\$150 for replacement parts, and $50\$50 for shipping, which equals a total of $500\$500. To make a 40%40\% profit on the investment, the refurbisher needs to generate 140%140\% of the total cost in revenue (1.40×$500=$7001.40 \times \$500 = \$700). Dividing the $700\$700 total target revenue by the 55 laptops gives an average selling price of $140\$140 per laptop.

Adım Adım Çözüm

1
Calculate the total cost (investment).
$300+$150+$50=$500\$300 + \$150 + \$50 = \$500
To find the total amount invested before calculating the desired profit.
2
Calculate the total revenue needed for a 40%40\% profit.
$500×1.40=$700\$500 \times 1.40 = \$700
To determine the total amount of money required to cover all costs and achieve the 40% profit margin.
3
Calculate the average selling price per laptop.
$700÷5=$140\$700 \div 5 = \$140
To distribute the total required revenue evenly across the 5 laptops.

Anahtar Kavram

Calculating net profit by determining total investment, applying a percentage markup, and finding unit price.
Tahmini Süre:1m 15s
Soru 12Soru →

A craftsman purchases 6060 wooden boards at $3.00\$3.00 each to build custom storage chests. He spends an additional $40.00\$40.00 on hinges and pays a $20.00\$20.00 delivery fee for the materials. If he builds 1010 chests and sells them all for $30.00\$30.00 each, what is his profit percentage?

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Cevap: 25%25\%

Cevap

The profit percentage is 25%25\%.
The correct answer is found by first determining the total cost, which includes the materials and all overhead expenses ($180+$40+$20=$240\$180 + \$40 + \$20 = \$240). Next, find the total revenue ($30×10=$300\$30 \times 10 = \$300). The profit is the difference ($300−$240=$60\$300 - \$240 = \$60). Finally, divide the profit by the total cost to find the percentage: $60/$240=0.25\$60 / \$240 = 0.25, which is 25%25\%.

Adım Adım Çözüm

1
Calculate the initial cost of the wooden boards.
60×$3.00=$180.0060 \times \$3.00 = \$180.00
To find the base material cost before adding overhead expenses.
2
Calculate the total cost (investment).
$180.00+$40.00 (hinges)+$20.00 (delivery)=$240.00\$180.00 + \$40.00 \text{ (hinges)} + \$20.00 \text{ (delivery)} = \$240.00
All overhead and preparation expenses must be included to find the true total cost.
3
Calculate the total revenue from selling the chests.
10×$30.00=$300.0010 \times \$30.00 = \$300.00
To determine the total amount earned from sales.
4
Calculate the profit amount.
$300.00−$240.00=$60.00\$300.00 - \$240.00 = \$60.00
Profit is the difference between total revenue and total cost.
5
Calculate the profit percentage.
(\$60.00 / \$240.00) \times 100 = 0.25 \times 100 = 25\%
Profit percentage is the profit amount divided by the total cost, expressed as a percentage.

Anahtar Kavram

Calculating percentage profit with multi-step overhead costs
Tahmini Süre:1m 15s
Soru 13Soru →

A boutique owner purchases 5050 plain canvas tote bags at a wholesale price of $8.00\$8.00 each. She pays a flat shipping fee of $100.00\$100.00 for the entire order and spends an additional $2.50\$2.50 per bag for custom screen printing. If she wants to make a 40%40\% profit on her total investment, what must be the selling price for a single custom tote bag?

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Cevap: $17.50\$17.50

Cevap

$17.50\$17.50
To find the selling price, the total cost per bag must first be established by combining the wholesale price, the per-bag shipping cost, and the printing fee ($8.00+$2.00+$2.50=$12.50\$8.00 + \$2.00 + \$2.50 = \$12.50). Finding 40%40\% of this comprehensive cost yields a $5.00\$5.00 profit, resulting in a final selling price of $17.50\$17.50.

Adım Adım Çözüm

1
Calculate the total cost investment per individual tote bag, including all overhead expenses.
Wholesale: $8.00\$8.00. Shipping per bag: $100.00÷50=$2.00\$100.00 \div 50 = \$2.00. Printing: $2.50\$2.50. Total Cost = $8.00+$2.00+$2.50=$12.50\$8.00 + \$2.00 + \$2.50 = \$12.50.
Profit must be calculated on the total investment, which includes base cost, shipping, and modifications.
2
Determine the required profit amount per bag by calculating 40%40\% of the total cost.
40% of $12.50=0.40×12.50=$5.0040\% \text{ of } \$12.50 = 0.40 \times 12.50 = \$5.00.
The question asks for a 40%40\% profit margin on the total cost.
3
Add the calculated profit amount to the total cost to find the final selling price.
$12.50 (Total Cost)+$5.00 (Profit)=$17.50\$12.50 \text{ (Total Cost)} + \$5.00 \text{ (Profit)} = \$17.50.
The selling price is the sum of the total cost and the desired profit.

Anahtar Kavram

Calculating selling price based on total investment (cost plus overhead) and a desired profit percentage.
Tahmini Süre:1m 15s
Soru 14Soru →

A florist purchases 120120 wholesale roses for \50.00andpaysanadditional$30.00forcoldshipping.Upondelivery,50.00 and pays an additional \$30.00 for cold shipping. Upon delivery, 24 oftherosesarefoundtobedamagedandcannotbesold.Ifthefloristsellstheremainingrosesinbunchesofonedozen( of the roses are found to be damaged and cannot be sold. If the florist sells the remaining roses in bunches of one dozen ( 12$ roses) for \$12.50 per bunch, what is the florist's profit percentage on the total investment?

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Cevap: 25%25\%

Cevap

25%25\%
To find the profit percentage, first calculate the total investment: \50.00fortherosesplus$30.00forshippingequalsatotalcostof$80.00.Next,findthesellableinventorybysubtractingthe50.00 for the roses plus \$30.00 for shipping equals a total cost of \$80.00. Next, find the sellable inventory by subtracting the 24 damagedrosesfromtheoriginal damaged roses from the original 120 ,leaving, leaving 96 roses.Sincetheyaresoldbythedozen,divide roses. Since they are sold by the dozen, divide 96 by by 12 toget to get 8 bunches.Selling bunches. Selling 8 bunchesat$12.50eachgenerates$100.00intotalrevenue.Subtractthetotalcostfromtherevenuetofindtheprofit:$100.00−$80.00=$20.00.Finally,dividetheprofitbythetotalcosttofindthepercentage:$20.00÷$80.00=0.25 bunches at \$12.50 each generates \$100.00 in total revenue. Subtract the total cost from the revenue to find the profit: \$100.00 - \$80.00 = \$20.00. Finally, divide the profit by the total cost to find the percentage: \$20.00 \div \$80.00 = 0.25, which is 25%25\%.

Adım Adım Çözüm

1
Calculate the total cost (investment).
\$50.00 + \$30.00 = \$80.00
Profit percentage must be calculated using the entire cost basis, including overhead like shipping.
2
Determine the number of sellable bunches.
120−24=96120 - 24 = 96 sellable roses. 96÷12=896 \div 12 = 8 bunches.
Damaged goods cannot be sold and must be subtracted from inventory before calculating revenue.
3
Calculate the total revenue.
$8×$12.50=$100.008 \times \$12.50 = \$100.00
Multiply the number of sellable units by the price per unit.
4
Calculate the profit and the profit percentage.
Profit = \$100.00 - \$80.00 = \$20.00. Percentage = (\$20.00 \div \$80.00) \times 100\% = 25\%.
Profit is revenue minus cost. Profit percentage is the profit divided by the total cost.

Anahtar Kavram

Calculating percentage profit requires finding the comprehensive total cost, determining actual total revenue (accounting for lost inventory), subtracting cost from revenue to find the profit amount, and then dividing that profit strictly by the total original cost.
Tahmini Süre:1m 30s
Soru 15Soru →

An entrepreneur purchases 55 used electric scooters for $120\$120 each. She pays an additional flat fee of $150\$150 to replace the batteries for the entire batch. If she sells all 55 scooters for $210\$210 each, what is her overall profit percentage on this investment?

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Cevap: 40

Cevap

40
The correct answer is found by first calculating the total investment, which includes both the purchase price of the scooters (600)andthebatteryreplacementcosts(600) and the battery replacement costs ( 150), yielding a total cost basis of 750.Thetotalrevenuefromsalesis750. The total revenue from sales is 1,050. Subtracting the total cost from the revenue gives a net profit of 300.Finally,dividingthe300. Finally, dividing the 300 profit by the $750 total investment yields a profit percentage of 40%.

Adım Adım Çözüm

1
Calculate the total cost of purchasing the used scooters.
5×$120=$6005 \times \$120 = \$600
This establishes the initial base cost before overhead.
2
Calculate the total investment by adding the battery replacement cost.
$600+$150=$750\$600 + \$150 = \$750
Profit must be calculated using the total cost basis, including all overhead expenses.
3
Calculate the total revenue from selling the scooters.
5×$210=$1,0505 \times \$210 = \$1,050
Total revenue is needed to find the net profit.
4
Determine the net profit.
$1,050−$750=$300\$1,050 - \$750 = \$300
Net profit is total revenue minus total investment.
5
Calculate the profit percentage.
300750×100=40%\frac{300}{750} \times 100 = 40\%
Profit percentage is the net profit divided by the total investment (cost basis), expressed as a percentage.

Anahtar Kavram

Calculating profit percentage by factoring in both unit costs and multi-step overhead expenses.
Tahmini Süre:1m 0s
Soru 16Soru →

Match each retail transaction scenario to its corresponding profit or loss percentage.

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Öğeler

Purchase a pair of shoes for 5050 dollars and sell them for 7575 dollars.
Purchase a bicycle for 200200 dollars and sell it for 150150 dollars.
Purchase a jacket for 100100 dollars and sell it for 120120 dollars.
Purchase a book for 1010 dollars and sell it for 99 dollars.

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

Shoes map to 50%50\% profit; Bicycle maps to 25%25\% loss; Jacket maps to 20%20\% profit; Book maps to 10%10\% loss.
Each scenario is correctly evaluated by finding the absolute difference between cost and selling price, dividing that difference by the original cost price, and converting the result to a percentage.

Adım Adım Çözüm

1
Determine if each transaction resulted in a profit or a loss.
Shoes and jacket are profits; bicycle and book are losses.
If selling price is greater than cost, it is a profit. If selling price is less than cost, it is a loss.
2
Calculate the dollar amount of the profit or loss for each item.
Shoes: 2525 dollars profit, Bicycle: 5050 dollars loss, Jacket: 2020 dollars profit, Book: 11 dollar loss.
Profit or loss equals the absolute difference between selling price and cost price.
3
Divide the profit or loss amount by the original cost price, then multiply by 100100 to find the percentage.
Shoes: (25/50)×100=50%(25/50) \times 100 = 50\%; Bicycle: (50/200)×100=25%(50/200) \times 100 = 25\%; Jacket: (20/100)×100=20%(20/100) \times 100 = 20\%; Book: (1/10)×100=10%(1/10) \times 100 = 10\%.
Percentages must always be calculated relative to the original cost price.

Anahtar Kavram

Calculating percentage profit or loss by comparing the change in value to the original cost price.
Soru 17Soru →

An electronics restorer buys a bulk lot of 4040 tablets for $120\$120 each. The restorer spends an additional $1,200\$1,200 total for replacement parts to repair them. Unfortunately, 1010 of the tablets are too severely damaged to repair and must be discarded. If the restorer wants to make exactly a 25%25\% profit on the total investment, what must be the selling price for each of the remaining functional tablets?

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Cevap: $250\$250

Cevap

The restorer must sell each of the remaining tablets for $250\$250.
The total investment includes the bulk purchase price (40×$120=$4,80040 \times \$120 = \$4,800) plus the cost of replacement parts ($1,200\$1,200), which totals $6,000\$6,000. A 25%25\% profit on a $6,000\$6,000 investment requires $1,500\$1,500 in profit, meaning the total revenue must reach $7,500\$7,500. Because 1010 tablets were discarded, the restorer only has 3030 tablets left to sell. Dividing the target total revenue by the 3030 remaining tablets ($7,500÷30\$7,500 \div 30) gives a required selling price of $250\$250 for each functional tablet.

Adım Adım Çözüm

1
Calculate the total cost of purchasing the tablets.
40 tablets×$120=$4,80040 \text{ tablets} \times \$120 = \$4,800
To determine the initial part of the investment.
2
Add the overhead costs to find the total investment.
$4,800+$1,200 (parts)=$6,000\$4,800 + \$1,200 \text{ (parts)} = \$6,000
Profit must be calculated based on the entire total investment, not just the purchase price.
3
Calculate the target total revenue required to achieve a 25%25\% profit.
$6,000×1.25=$7,500\$6,000 \times 1.25 = \$7,500
A 25%25\% profit means the revenue must be 125%125\% of the total investment.
4
Determine the number of functional tablets available to sell.
40−10=30 tablets40 - 10 = 30 \text{ tablets}
The discarded tablets generate no revenue, so the entire target revenue must be generated by the remaining inventory.
5
Calculate the required selling price per functional tablet.
$7,500÷30=$250\$7,500 \div 30 = \$250
Dividing the target total revenue by the number of sellable items gives the unit selling price.

Anahtar Kavram

Profit and Loss with Overhead and Inventory Shrinkage
Tahmini Süre:1m 30s
Soru 18Soru →

A merchant buys a radio for 4040 dollars and sells it for 5050 dollars. What is the merchant's profit percentage on this item?

Cevabı ve açıklamayı göster

Cevap: 25%25\%

Cevap

The correct answer is 25%25\%.
To find the profit percentage, first determine the total profit by subtracting the cost price (4040 dollars) from the selling price (5050 dollars), which gives a profit of 1010 dollars. Then, divide the profit by the original cost price (1040=0.25\frac{10}{40} = 0.25) and multiply by 100100 to get 25%25\%.

Adım Adım Çözüm

1
Calculate the profit amount.
50−40=1050 - 40 = 10
Profit is defined as the difference between the selling price and the cost price.
2
Calculate the profit percentage.
1040×100=25%\frac{10}{40} \times 100 = 25\%
Profit percentage is the profit amount divided by the original cost price, expressed as a percentage.

Anahtar Kavram

Profit Percentage
Soru 19Soru →

Match each retail and investment scenario to its correct net profit or net loss percentage. (Note: Calculate percentages based on total cost).

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Öğeler

Purchase a used motorcycle for $2,000\$2,000, spend $500\$500 on parts, and sell it for $3,000\$3,000.
Buy 100100 wholesale jackets at $15\$15 each plus $100\$100 total shipping. Sell 8080 jackets at $25\$25 each and discard the rest.
Acquire a commercial trailer for $15,000\$15,000 and invest $5,000\$5,000 in modifications. Sell the trailer later for $16,000\$16,000.
Purchase 2020 antique desks for $30\$30 each, spend $200\$200 on restoration supplies, then sell 1010 for $100\$100 each and 1010 for $20\$20 each.

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

Motorcycle scenario matches 20%20\% net profit, jacket scenario matches 25%25\% net profit, trailer scenario matches 20%20\% net loss, and antique desk scenario matches 50%50\% net profit.
Each scenario requires calculating total cost, total revenue, and the net difference. Then, dividing that difference by the total cost yields the correct profit or loss percentage.

Adım Adım Çözüm

1
Calculate the total cost for each scenario by adding the purchase price and any overhead or repair expenses.
Motorcycle cost = $2,500\$2,500; Jackets cost = $1,600\$1,600; Trailer cost = $20,000\$20,000; Desks cost = $800\$800.
Profit and loss are always calculated based on the total initial investment, not just the base price.
2
Calculate the total revenue for each scenario based on the items successfully sold.
Motorcycle revenue = $3,000\$3,000; Jackets revenue = $2,000\$2,000; Trailer revenue = $16,000\$16,000; Desks revenue = $1,200\$1,200.
Revenue must account for varied selling prices and discarded inventory.
3
Determine the dollar amount of profit or loss by subtracting the total cost from the revenue.
Motorcycle = +$500+\$500; Jackets = +$400+\$400; Trailer = −$4,000-\$4,000; Desks = +$400+\$400.
A positive value indicates a net profit, while a negative value indicates a net loss.
4
Calculate the percentage profit or loss by dividing the profit/loss by the total cost, then multiplying by 100%100\%.
Motorcycle = 20%20\% profit; Jackets = 25%25\% profit; Trailer = 20%20\% loss; Desks = 50%50\% profit.
This standardizes the dollar amounts into percentages to match the available options.

Anahtar Kavram

Calculating profit or loss percentages requires finding the total cost (including overhead) and total revenue, then dividing the net difference by the total cost.
Soru 20Soru →

A retailer buys a wholesale lot of 100100 tablets for $4,000\$4,000. They pay an additional $1,000\$1,000 for shipping, software updates, and packaging before the tablets are ready for sale. The retailer sells 4040 of these tablets at a 10%10\% loss on their true unit cost. In order to achieve an overall profit of 20%20\% on the entire initial investment, what must be the selling price for each of the remaining tablets?

Cevabı ve açıklamayı göster

Cevap: $70\$70

Cevap

The remaining tablets must be sold for $70\$70 each.
To achieve a 20% overall profit, the retailer must make a total of 6,000ona6,000 on a 5,000 total investment. Since the first 40 tablets were sold at a loss for 1,800total,theremaining1,800 total, the remaining 4,200 must be made up entirely by the remaining 60 tablets. Dividing 4,200by60yields4,200 by 60 yields 70 per tablet.

Adım Adım Çözüm

1
Calculate the total investment and the target revenue.
Total Investment = $4,000\$4,000 + $1,000\$1,000 = $5,000\$5,000. Target Revenue = $5,000\$5,000 + (0.200.20 × $5,000\$5,000) = $6,000\$6,000.
To find how much money must be made in total, you must first account for all costs (purchase + overhead) and then add the desired 20% overall profit.
2
Determine the true unit cost per tablet.
Unit Cost = $5,000\$5,000 ÷ 100100 = $50\$50 per tablet.
The unit cost must reflect the total investment spread across all items, not just the original purchase price.
3
Calculate the revenue generated from the first 40 tablets.
Selling price = $50\$50 - (0.100.10 × $50\$50) = $45\$45. Revenue = 4040 × $45\$45 = $1,800\$1,800.
These tablets were sold at a 10% loss on their true unit cost.
4
Find the remaining revenue needed from the unsold tablets.
Remaining Revenue Needed = $6,000\$6,000 (Target) - $1,800\$1,800 (Collected) = $4,200\$4,200.
This is the exact dollar amount the remaining stock must generate to hit the overall profit goal.
5
Calculate the required selling price per remaining tablet.
Remaining tablets = 100100 - 4040 = 6060. Selling Price = $4,200\$4,200 ÷ 6060 = $70\$70.
Dividing the remaining revenue goal by the remaining inventory gives the required per-unit price.

Anahtar Kavram

Multi-stage Profit and Loss with Overhead Allocation
Profit and Loss Alıştırma Soruları — Armed Services Vocational Aptitude Battery (ASVAB) | Examkin