Examkin

Financial Arithmetic

138 soru

Tüm türler138Çoktan seçmeli70Sayısal32Eşleştirme5Sıralama3Boşluk doldurma28
Soru 101Soru →

A field medical unit needs to resupply liquid surface disinfectant. The disinfectant is available in four different packaging options. Arrange the purchasing options in order from the lowest unit price (price per gallon) to the highest unit price.

Öğeleri doğru sıraya koymak için sürükleyin

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Cevap

The correct order from lowest to highest unit price is: the pack of eight 1-pint bottles ($23.04\$23.04/gal), the twin-pack of two 1-gallon jugs ($24.00\$24.00/gal), the 5-gallon drum ($25.60\$25.60/gal), and the case of four 1-quart bottles ($28.16\$28.16/gal).
By converting the capacity of each option to a common unit (gallons) and calculating the price per gallon, we can directly compare the unit costs. The 11-pint bottles equate to 11 gallon for $23.04\$23.04. The 11-gallon jugs cost $24.00\$24.00 per gallon ($48.00÷2\$48.00 \div 2). The 55-gallon drum costs $25.60\$25.60 per gallon ($128.00÷5\$128.00 \div 5). The 11-quart bottles equate to 11 gallon for $28.16\$28.16. Placing these calculated unit prices in ascending order provides the correct sequence.

Adım Adım Çözüm

1
Determine a common unit of measurement to compare all options.
The gallon is the most convenient common unit.
Converting all volumes to gallons allows for a direct dollar-to-dollar comparison of the unit prices.
2
Calculate the price per gallon for the 55-gallon drum.
$128.00÷5 gallons=$25.60\$128.00 \div 5 \text{ gallons} = \$25.60 per gallon.
Dividing the total cost by the total volume yields the unit price.
3
Calculate the price per gallon for the case of 11-quart bottles.
There are 44 quarts in a gallon, so four 11-quart bottles equal exactly 11 gallon. The price is $28.16\$28.16 per gallon.
Unit conversion is required before finding the price per gallon.
4
Calculate the price per gallon for the pack of 11-pint bottles.
There are 22 pints in a quart and 44 quarts in a gallon, so there are 88 pints in a gallon. Eight 11-pint bottles equal exactly 11 gallon. The price is $23.04\$23.04 per gallon.
Unit conversion is required to establish the total volume in gallons.
5
Calculate the price per gallon for the twin-pack of 11-gallon jugs.
$48.00÷2 gallons=$24.00\$48.00 \div 2 \text{ gallons} = \$24.00 per gallon.
Dividing the total cost by the total volume yields the unit price.
6
Compare the calculated prices per gallon and order them from lowest to highest.
$23.04<$24.00<$25.60<$28.16\$23.04 < \$24.00 < \$25.60 < \$28.16.
The question asks for the options to be arranged sequentially by increasing unit cost.

Anahtar Kavram

To compare the prices of items sold in different quantities and unit sizes, convert all volumes to a single common unit (such as gallons) and calculate the price per common unit for each option.
Soru 102Soru →

A local hardware store is purchasing a bulk wholesale order of industrial shelving. The distributor offers a 20%20\% volume discount on the order. Because the hardware store pays the invoice in full within 10 days, they receive an additional 5%5\% discount on the reduced price. If the hardware store pays $3,420\$3,420 for the shelving (before shipping and taxes), what was the original price of the bulk order?

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Cevap: $4,500\$4,500

Cevap

$4,500\$4,500
The correct answer is found by representing the unknown original price as a variable, applying the 20% discount (multiplying by 0.80), and then applying the 5% discount to that new amount (multiplying by 0.95). Setting the resulting expression (0.76 times the original price) equal to the final price of 3,420anddividingyieldsanoriginalpriceof3,420 and dividing yields an original price of 4,500.

Adım Adım Çözüm

1
Set up an equation representing the first discount.
Let the original price be PP. A 20%20\% discount means the price becomes 100%−20%=80%100\% - 20\% = 80\% of the original price, or 0.80P0.80P.
The volume discount is applied to the starting original price.
2
Apply the second successive discount to the result of the first.
An additional 5%5\% discount on the reduced price means the hardware store pays 100%−5%=95%100\% - 5\% = 95\% of that reduced price. This gives 0.95×0.80P=0.76P0.95 \times 0.80P = 0.76P.
Successive discounts are calculated based on the new, already-discounted price, not the original price.
3
Solve for the original price PP.
Set the expression equal to the final paid amount: 0.76P=34200.76P = 3420. Divide both sides by 0.760.76 to find P=$4,500P = \$4,500.
This isolates PP to determine the starting value before any discounts were applied.

Anahtar Kavram

Calculating the original price after successive discounts by working backward using algebraic representation.
Soru 103Soru →

A maintenance supervisor is ordering floor sealant for a large building renovation. The sealant is available in two sizes: a 22-gallon jug priced at $18.00\$18.00, and a 11-quart bottle priced at $3.25\$3.25. If the renovation requires exactly 88 gallons of sealant, how much money is saved in total by purchasing the 22-gallon jugs instead of the 11-quart bottles?

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Cevap: $32.00\$32.00

Cevap

$32.00\$32.00
To find the total savings, calculate the total cost for each option. For the 22-gallon jugs, you need 44 jugs to reach 88 gallons (4×$18.00=$72.004 \times \$18.00 = \$72.00). For the 11-quart bottles, first convert 88 gallons to quarts (8×4=328 \times 4 = 32 quarts). You need 3232 bottles (32×$3.25=$104.0032 \times \$3.25 = \$104.00). The difference is $104.00−$72.00=$32.00\$104.00 - \$72.00 = \$32.00.

Adım Adım Çözüm

1
Calculate the total cost of purchasing 8 gallons using the 2-gallon jugs.
$72.00\$72.00
The project needs 8 gallons, which requires 4 jugs (8÷28 \div 2). At $18.00\$18.00 per jug, the cost is 4×$18.00=$72.004 \times \$18.00 = \$72.00.
2
Determine how many 1-quart bottles are needed to make 8 gallons.
32 bottles
There are 4 quarts in 1 gallon, so 8 gallons is equal to 32 quarts (8×48 \times 4).
3
Calculate the total cost of purchasing 32 quart bottles.
$104.00\$104.00
At $3.25\$3.25 per bottle, the cost is 32×$3.25=$104.0032 \times \$3.25 = \$104.00.
4
Calculate the total savings between the two options.
$32.00\$32.00
Subtract the lower bulk cost from the higher individual cost: $104.00−$72.00=$32.00\$104.00 - \$72.00 = \$32.00.

Anahtar Kavram

Unit Price Comparisons
Soru 104Soru →

A base landscaping crew needs to purchase concentrated herbicide. Vendor A sells a 55-gallon drum of the herbicide for $140.00\$140.00. Vendor B sells the same herbicide in 22-quart bottles for $15.00\$15.00 each. What is the difference in price per gallon, in dollars, between the two vendors?

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Cevap: 2

Cevap

The difference in price per gallon between the two vendors is 2 dollars.
By converting both options to a common unit price of dollars per gallon, we find Vendor A charges 28.00pergallonandVendorBcharges28.00 per gallon and Vendor B charges 30.00 per gallon. The difference between these unit prices is 30.00−30.00 - 28.00 = $2.00.

Adım Adım Çözüm

1
Calculate the price per gallon for Vendor A.
$140.00÷5 gallons=$28.00 per gallon\$140.00 \div 5 \text{ gallons} = \$28.00 \text{ per gallon}
To compare prices accurately, both must be expressed as a unit rate (price per gallon).
2
Convert the volume of Vendor B's bottles into gallons to find how many bottles equal one gallon.
Since there are 4 quarts4 \text{ quarts} in 1 gallon1 \text{ gallon}, a 22-quart bottle is 0.5 gallons0.5 \text{ gallons}. Therefore, it takes 22 bottles to make 1 gallon1 \text{ gallon}.
Unit prices must be in the same measurement (gallons) for a valid comparison.
3
Calculate the price per gallon for Vendor B.
$15.00×2 bottles=$30.00 per gallon\$15.00 \times 2 \text{ bottles} = \$30.00 \text{ per gallon}
This establishes the unit rate for Vendor B.
4
Find the difference between the two unit prices.
$30.00−$28.00=$2.00\$30.00 - \$28.00 = \$2.00
The question asks for the numeric difference in price per gallon.

Anahtar Kavram

Comparing unit prices by converting to a common unit of measure.
Soru 105Soru →

Read the scenario below and fill in the missing financial values.

Aşağıdaki boşlukları doldurun

A musician is purchasing a new drum kit for $1,200\$1,200 and a set of cymbals for $400\$400. The music store is running a promotion that offers a 15%15\% discount on the total purchase if it exceeds $1,000\$1,000. After the discount is applied, a 6%6\% state sales tax is added to the sale price.

Based on this information, the total amount saved from the discount is $\$,andthefinalamountpaidaftertaxis, and the final amount paid after tax is \$$.
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Cevap

The discount amount is $240\$240, and the final total paid is $1,441.60\$1,441.60.
The solution requires finding the total original price of $1,600\$1,600. The 15%15\% discount on this amount is $240\$240, leaving a sale price of $1,360\$1,360. Finally, calculating a 6%6\% sales tax on $1,360\$1,360 adds $81.60\$81.60, bringing the final total to $1,441.60\$1,441.60.

Adım Adım Çözüm

1
Calculate the total original price of the items.
$1,200+$400=$1,600\$1,200 + \$400 = \$1,600
To find the base amount before any discounts are applied.
2
Calculate the discount amount.
15%15\% of $1,600=0.15×1600=$240\$1,600 = 0.15 \times 1600 = \$240
Since the purchase exceeds $1,000\$1,000, the 15%15\% discount applies to the total original price. This provides the first missing value.
3
Calculate the sale price before tax.
$1,600−$240=$1,360\$1,600 - \$240 = \$1,360
Subtracting the discount from the original price gives the taxable amount.
4
Calculate the sales tax.
6%6\% of $1,360=0.06×1360=$81.60\$1,360 = 0.06 \times 1360 = \$81.60
Sales tax is calculated based on the discounted sale price.
5
Calculate the final total paid.
$1,360+$81.60=$1,441.60\$1,360 + \$81.60 = \$1,441.60
Adding the sales tax to the sale price yields the final cost. This provides the second missing value.

Anahtar Kavram

Calculating a percentage discount on a total sum and then applying sales tax to the discounted price.

Alternatif Yöntem

You can calculate the final price in one continuous equation by multiplying the original price by the complement of the discount (1−0.15=0.851 - 0.15 = 0.85) to get the sale price, and then multiplying by the tax multiplier (1+0.06=1.061 + 0.06 = 1.06): $1,600×0.85×1.06=$1,441.60\$1,600 \times 0.85 \times 1.06 = \$1,441.60.
Tahmini Süre:1m 30s
Soru 106Soru →

A fleet manager is purchasing a replacement heavy-duty transmission. The original price of the transmission is $3,200\$3,200. The supplier offers a 15%15\% commercial discount, and an additional 5%5\% discount off the reduced price if the invoice is paid within 1010 days. If the manager pays the invoice on the same day, what is the final price of the transmission before any taxes?

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Cevap: $2,584\$2,584

Cevap

The final price of the transmission is $2,584\$2,584.
The correct answer accurately calculates the successive discounts step by step. First, a 15%15\% discount on $3,200\$3,200 saves $480\$480, bringing the price to $2,720\$2,720. Then, a 5%5\% discount on the new price of $2,720\$2,720 saves $136\$136, resulting in a final price of $2,584\$2,584.

Adım Adım Çözüm

1
Calculate the price after the first discount of 15%15\%.
$3,200×0.15=$480\$3,200 \times 0.15 = \$480 in savings. The new price is $3,200−$480=$2,720\$3,200 - \$480 = \$2,720.
The commercial discount is applied to the original price of the item.
2
Calculate the final price after the second discount of 5%5\%.
$2,720×0.05=$136\$2,720 \times 0.05 = \$136 in savings. The final price is $2,720−$136=$2,584\$2,720 - \$136 = \$2,584.
Successive (chain) discounts are always applied to the previously reduced price, not the original price.

Anahtar Kavram

Discounts and Sale Prices
Soru 107Soru →

A motor pool sergeant is purchasing industrial degreaser for the vehicle maintenance bay. The facility requires exactly 88 gallons of degreaser. A supply catalog offers the degreaser in two sizes: a 11-gallon jug for $14.50\$14.50 and a 3232-ounce bottle for $4.00\$4.00. If the sergeant purchases the required amount using the most cost-effective option, how much money will be saved in total compared to buying the more expensive option?

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Cevap: $12.00\$12.00

Cevap

$12.00\$12.00
The correct answer is found by first equalizing the volumes. There are 128 ounces in a gallon, so it takes four 32-ounce bottles to make a single gallon. Buying the degreaser in bottles costs 4 × 4.00=4.00 = 16.00 per gallon. The 1-gallon jug costs 14.50,meaningthejugsaves14.50, meaning the jug saves 1.50 per gallon compared to the bottles. Because the facility needs 8 gallons, the total savings is 8 × 1.50=1.50 = 12.00.

Adım Adım Çözüm

1
Determine the number of 32-ounce bottles needed to equal one gallon.
Since 11 gallon equals 128128 ounces, 128÷32=4128 \div 32 = 4 bottles per gallon.
To accurately compare prices, both options must be evaluated at the same unit of volume.
2
Calculate the price per gallon for the 32-ounce bottle option.
44 bottles ×$4.00=$16.00\times \$4.00 = \$16.00 per gallon.
This establishes a direct unit price comparison against the 1-gallon jug.
3
Determine which option is more cost-effective and calculate the savings per gallon.
The jug costs $14.50\$14.50 per gallon, which is $1.50\$1.50 cheaper than the $16.00\$16.00 per gallon cost of the bottles.
Finding the difference in unit price is necessary to calculate the total savings over the entire purchase.
4
Calculate the total savings for the required 8 gallons.
88 gallons ×$1.50=$12.00\times \$1.50 = \$12.00 total savings.
The facility requires 8 gallons, so the per-gallon savings must be multiplied by the total volume needed.

Anahtar Kavram

Comparing unit prices across different measurement units to find total purchase savings.
Soru 108Soru →

A commercial photographer is purchasing a new studio lighting kit. The original retail price of the kit is $1,200\$1,200. The camera supply store is currently offering a 25%25\% seasonal discount on all studio equipment. In addition, the photographer receives a 10%10\% professional discount, which is applied to the already reduced price. What is the final price of the lighting kit before sales tax?

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Cevap: 810

Cevap

The final price of the lighting kit is $810\$810.
The correct calculation requires applying the first discount to find a new subtotal, and then applying the second discount to that new subtotal. Applying 25%25\% off $1,200\$1,200 yields $900\$900. Applying the 10%10\% professional discount to the new base of $900\$900 reduces the price by another $90\$90, resulting in a final price of $810\$810.

Adım Adım Çözüm

1
Calculate the first discount amount.
25%25\% of $1,200\$1,200 is $300\$300.
The seasonal discount applies to the original retail price.
2
Find the intermediate reduced price.
$1,200−$300=$900\$1,200 - \$300 = \$900.
Subtracting the first discount gives the new base price before the second discount.
3
Calculate the second discount amount.
10%10\% of $900\$900 is $90\$90.
The professional discount applies to the already reduced price, not the original price.
4
Determine the final price.
$900−$90=$810\$900 - \$90 = \$810.
Subtracting the second discount from the intermediate price gives the final amount paid.

Anahtar Kavram

Calculating successive discounts requires applying the second percentage to the new, already discounted price, rather than the original amount.
Soru 109Soru →

A cafe owner is purchasing a commercial espresso machine. Supplier A lists the machine for $2,000\$2,000 with a single 30%30\% discount. Supplier B lists the identical machine for $2,400\$2,400 with successive discounts of 25%25\% and 20%20\%. How much money will the owner save by purchasing the machine from the less expensive supplier?

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Cevap: $40\$40

Cevap

The owner will save $40 by choosing Supplier A.
Supplier A's final price is 1,400(whichis1,400 (which is 2,000 minus a 600discount).SupplierB′sfinalpriceis600 discount). Supplier B's final price is 1,440 (calculated by first reducing 2,400by252,400 by 25% to get 1,800, and then reducing 1,800by201,800 by 20% to get 1,440). The difference between the two prices is $40, making Supplier A the less expensive option by that amount.

Adım Adım Çözüm

1
Calculate the final price for Supplier A.
$2,000×0.30=$600\$2,000 \times 0.30 = \$600 discount. $2,000−$600=$1,400\$2,000 - \$600 = \$1,400.
A single discount is taken directly from the initial price.
2
Calculate the price after the first discount for Supplier B.
$2,400×0.25=$600\$2,400 \times 0.25 = \$600 discount. $2,400−$600=$1,800\$2,400 - \$600 = \$1,800.
The first of the successive discounts is applied to the original listing price.
3
Calculate the price after the second discount for Supplier B.
$1,800×0.20=$360\$1,800 \times 0.20 = \$360 discount. $1,800−$360=$1,440\$1,800 - \$360 = \$1,440.
The second discount must be applied to the new subtotal, not the original price.
4
Find the difference between the two final prices.
$1,440−$1,400=$40\$1,440 - \$1,400 = \$40.
Subtracting the lower price from the higher price gives the total savings.

Anahtar Kavram

Calculating successive discounts and comparing final sale prices.
Soru 110Soru →

An auto repair shop owner orders a bulk supply of replacement brake pads with an original total cost of $800\$800. The automotive parts distributor applies a 15%15\% bulk discount to the order. In addition, the shop receives an extra 5%5\% discount on the reduced price for paying the invoice in full upon delivery.

Determine the shop's final purchase price for the brake pads and the total amount of money saved compared to the original cost.

Aşağıdaki boşlukları doldurun

The final purchase price is $\$andthetotalamountsavedis and the total amount saved is \$$.
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Cevap

The final purchase price is 646andthetotalamountsavedis646 and the total amount saved is 154.
The correct final price is found by taking 15% off 800toget800 to get 680, then taking 5% off 680toarriveat680 to arrive at 646. The total savings is the sum of both discounts (120+120 + 34 = $154).

Adım Adım Çözüm

1
Calculate the amount of the 15% bulk discount.
$800×0.15=$120\$800 \times 0.15 = \$120
To find the savings provided by the initial distributor discount.
2
Calculate the intermediate price after the first discount.
$800−$120=$680\$800 - \$120 = \$680
The subsequent 5% discount must be applied to this reduced price, not the original price.
3
Calculate the amount of the 5% payment discount.
$680×0.05=$34\$680 \times 0.05 = \$34
To determine the additional savings from paying the invoice in full upon delivery.
4
Calculate the final purchase price.
$680−$34=$646\$680 - \$34 = \$646
This is the final amount the shop must pay after all successive discounts have been applied.
5
Calculate the total amount saved.
$120+$34=$154\$120 + \$34 = \$154
To find the complete difference between the original cost and the final price.

Anahtar Kavram

Successive discounts must be calculated sequentially on the new reduced price at each step, rather than adding the percentages together.
Soru 111Soru →

A restaurant manager orders a bulk supply of premium cooking oil. The invoice shows a final cost of $510\$510 after a 15%15\% wholesale discount was applied to the standard price. What was the original standard price of the bulk supply before the discount?

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Cevap: $600.00\$600.00

Cevap

The original standard price of the bulk supply was $600.00.
The final cost of 510represents85510 represents 85% of the original price, because a 15% discount was subtracted (100% - 15% = 85%). To find the original whole amount, divide the part by the percentage as a decimal: 510 \div 0.85 = \600600.

Adım Adım Çözüm

1
Determine the percentage of the original price that the final cost represents.
Since a 15%15\% discount was applied, the manager paid 100%−15%=85%100\% - 15\% = 85\% of the original price.
The final discounted price represents the remainder of the original cost after the discount is subtracted.
2
Set up an equation and solve for the original price.
Let xx be the original price. The equation is 0.85x=5100.85x = 510. Solving for xx gives x=510÷0.85=600x = 510 \div 0.85 = 600.
Dividing the part (the discounted price) by its equivalent percentage (expressed as a decimal) gives the whole original amount.

Anahtar Kavram

To find the original price before a discount, divide the final discounted price by the complement of the discount percentage (100% minus the discount rate).
Soru 112Soru →

An IT director is upgrading a company's data center and orders 4 new enterprise servers. The original retail price for each server is $4,500\$4,500. The hardware supplier offers a 20%20\% corporate discount on the total order. Additionally, because the company pays the invoice in full within 10 days, a 5%5\% early-payment discount is applied to the already reduced price. What is the final total price, in dollars, paid for the servers?

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Cevap: 13680

Cevap

13680
The correct total is found by first determining the initial total order value ($18,000\$18,000), reducing it by the initial 20%20\% discount to find the new subtotal ($14,400\$14,400), and then reducing that subtotal by the additional 5%5\% discount to arrive at the final cost ($13,680\$13,680).

Adım Adım Çözüm

1
Calculate the total original price of the 4 servers.
4×$4,500=$18,0004 \times \$4,500 = \$18,000
The discounts apply to the total order, so the total initial cost must be determined first.
2
Apply the 20% corporate discount to the total original price.
\$18,000 \times 0.20 = \$3,600 \text{ discount; } \$18,000 - \$3,600 = \$14,400
The first discount reduces the total cost before any other discounts are considered.
3
Apply the 5% early-payment discount to the new, reduced price.
\$14,400 \times 0.05 = \$720 \text{ discount; } \$14,400 - \$720 = \$13,680
Successive discounts are applied sequentially to the most recently calculated price, not the original price.

Anahtar Kavram

Calculating successive discounts on a total order amount.
Tahmini Süre:1m 30s
Soru 113Soru →

A diner's meal costs $50.00. If the diner leaves a 20% tip, what is the total amount paid?

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Cevap: $60.00

Cevap

$60.00
The correct total is found by converting 20% to a decimal (0.20), multiplying it by 50.00tofindthetipamount(50.00 to find the tip amount ( 10.00), and then adding that tip to the original 50.00billtogetatotalof50.00 bill to get a total of 60.00.

Adım Adım Çözüm

1
Calculate the amount of the tip by finding 20% of the meal cost ($50.00).
$10.00
The tip is a percentage based on the initial cost of the meal.
2
Add the tip amount to the original meal cost.
$60.00
The total amount paid includes both the original meal cost and the tip.

Anahtar Kavram

Calculating a percentage of a quantity and adding it to the base amount.
Soru 114Soru →

Read the scenario and fill in the missing numerical values.

Aşağıdaki boşlukları doldurun

A customer gets a haircut that costs $20.00\$20.00. If the customer leaves a 15%15\% tip, the tip amount is $\$andthetotalcostofthehaircutis and the total cost of the haircut is \$$.
Cevabı ve açıklamayı göster

Cevap

The tip amount is 3.00andthetotalcostis3.00 and the total cost is 23.00.
The tip amount is found by multiplying the base cost by the tip percentage expressed as a decimal ($20.00×0.15=$3.00\$20.00 \times 0.15 = \$3.00). The total cost is determined by adding this calculated tip amount to the original price ($20.00+$3.00=$23.00\$20.00 + \$3.00 = \$23.00).

Adım Adım Çözüm

1
Convert the tip percentage to a decimal and multiply by the cost of the haircut.
$20.00×0.15=$3.00\$20.00 \times 0.15 = \$3.00
To find the dollar amount of the tip, calculate 15%15\% of the original price.
2
Add the calculated tip amount to the original cost.
$20.00+$3.00=$23.00\$20.00 + \$3.00 = \$23.00
The total cost is the sum of the original service price and the tip.

Anahtar Kavram

Calculating tip amounts using percentages and finding the final total cost.
Soru 115Soru →

Marcus purchases a tool set with a price tag of $40.00. If the hardware store applies a 5% sales tax, what is the final amount Marcus must pay?

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Cevap: $42.00

Cevap

The total cost of the tool set including tax is $42.00.
To find the final amount, you must calculate the sales tax and add it to the original price. 5% of 40.00is40.00 is 2.00. Adding this 2.00taxtothe2.00 tax to the 40.00 price tag yields a total of $42.00.

Adım Adım Çözüm

1
Calculate the amount of sales tax by finding 5% of $40.00.
40.00×0.05=40.00 \times 0.05 = 2.00
Sales tax is a percentage of the original price.
2
Add the calculated sales tax to the original price to find the final total.
40.00+40.00 + 2.00 = $42.00
The total amount paid includes both the item's price and the tax applied to it.

Anahtar Kavram

Calculating sales tax as a percentage and adding it to the base price to determine the total cost.
Tahmini Süre:45s
Soru 116Soru →

A customer purchases a tablet with an original price of $300.00. The tablet is on sale for 20% off. After the discount is applied, a 5% sales tax is added to the sale price. What is the final total cost of the tablet?

Cevabı ve açıklamayı göster

Cevap: $252.00

Cevap

$252.00
To find the total cost, first find the sale price by calculating 20% of 300.00,whichis300.00, which is 60.00. Subtract this discount from the original price to get 240.00.Next,calculatethe5240.00. Next, calculate the 5% sales tax on this new sale price: 0.05 × 240.00 = 12.00.Finally,addthetaxtothesaleprice:12.00. Finally, add the tax to the sale price: 240.00 + 12.00=12.00 = 252.00.

Adım Adım Çözüm

1
Calculate the discount amount.
20% of 300.00=0.20×300.00 = 0.20 × 300.00 = $60.00
The discount must be determined to find the sale price.
2
Subtract the discount from the original price.
300.00−300.00 - 60.00 = $240.00
This provides the discounted sale price upon which tax is calculated.
3
Calculate the sales tax on the sale price.
5% of 240.00=0.05×240.00 = 0.05 × 240.00 = $12.00
Sales tax is always applied to the final discounted price of the item.
4
Add the sales tax to the sale price.
240.00+240.00 + 12.00 = $252.00
This determines the final total cost the customer must pay.

Anahtar Kavram

Calculating sequential percentages in multi-step financial problems (applying discounts before taxes).

Alternatif Yöntem

You can solve this using multipliers in a single step: Total Cost = Original Price × (1 - Discount Rate) × (1 + Tax Rate). Here, 300.00×0.80×1.05=300.00 × 0.80 × 1.05 = 252.00.
Tahmini Süre:1m 30s
Soru 117Soru →

Sarah's family goes out for dinner, and the total food bill is $60.00. They decide to leave a 15% tip for the server. How much money, in dollars, do they leave for the tip?

Cevabı ve açıklamayı göster

Cevap: 9

Cevap

9
The tip amount is found by calculating 15% of 60.00.Bymultiplying60.00. By multiplying 60.00 by by 0.15 ,theresultis, the result is 9.00$, which represents the tip amount in dollars.

Adım Adım Çözüm

1
Convert the tip percentage into a decimal.
15%=0.1515\% = 0.15
Percentages must be converted to decimals to perform multiplication.
2
Multiply the total bill by the decimal tip rate.
60.00×0.15=9.0060.00 \times 0.15 = 9.00
The tip amount is a percentage of the total bill.

Anahtar Kavram

Calculating a percentage of a given monetary amount.
Soru 118Soru →

A group of friends goes out for dinner. The total bill comes to $74.40, which includes a 6% sales tax and an 18% tip. If both the tax and the tip were calculated based on the original cost of the food, what was the cost of the food before the tax and tip were added?

Aşağıdaki boşlukları doldurun

The original cost of the food was $.
Cevabı ve açıklamayı göster

Cevap

The original cost of the food was $60.00.
By adding the 6% sales tax and the 18% tip, we find that a total of 24% was added to the original cost. This means the final bill of 74.40isequalto12474.40 is equal to 124% (or 1.24 times) the original food cost. Dividing 74.40 by 1.24 gives the correct original cost of $60.00.

Adım Adım Çözüm

1
Determine the combined percentage rate applied to the original cost.
Combined percentage = 6% tax + 18% tip = 24%.
Since both the tax and the tip are based on the original food cost, their percentages can be added together.
2
Express the total bill as a percentage of the original cost.
The total bill represents 100% of the original cost plus the 24% in additions, which equals 124% of the original cost.
The final amount includes the original base amount (100%) and the additional charges.
3
Set up an equation and solve for the original cost.
Let x be the original cost. 1.24x = $74.40. Dividing both sides by 1.24 gives x = 60.
Converting 124% to a decimal (1.24) and dividing the final amount by this multiplier isolates the original pre-tax cost.

Anahtar Kavram

Calculating an original base price by dividing the final total by a growth factor multiplier (1 + combined percentage rate).
Soru 119Soru →

A contractor is purchasing supplies for a project. He buys a power drill originally priced at $150.00\$150.00 and a set of drill bits originally priced at $50.00\$50.00. The drill is on sale for 30%30\% off, but the drill bits are sold at full price. If an 8%8\% sales tax is applied to the entire purchase after the discount is taken, what is the final total amount paid?

Cevabı ve açıklamayı göster

Cevap: $167.40\$167.40

Cevap

$167.40\$167.40
The correct amount is found by first calculating the 30%30\% discount on the $150.00\$150.00 drill, which is a $45.00\$45.00 reduction, making the drill $105.00\$105.00. Adding the full-price $50.00\$50.00 drill bits brings the subtotal to $155.00\$155.00. Finally, calculating the 8%8\% sales tax on the $155.00\$155.00 subtotal gives $12.40\$12.40. Adding the tax to the subtotal yields the final amount of $167.40\$167.40.

Adım Adım Çözüm

1
Calculate the discount amount for the power drill.
$150.00×0.30=$45.00\$150.00 \times 0.30 = \$45.00
To determine how much will be reduced from the drill's original price.
2
Determine the sale price of the power drill.
$150.00−$45.00=$105.00\$150.00 - \$45.00 = \$105.00
To find the actual cost of the drill before tax.
3
Calculate the pre-tax subtotal for all purchased items.
$105.00 (drill)+$50.00 (bits)=$155.00\$105.00 \text{ (drill)} + \$50.00 \text{ (bits)} = \$155.00
The sales tax is applied to the combined cost of the discounted and full-priced items.
4
Calculate the sales tax on the subtotal.
$155.00×0.08=$12.40\$155.00 \times 0.08 = \$12.40
An 8% tax applies to the entire pre-tax subtotal.
5
Calculate the final total amount paid.
$155.00+$12.40=$167.40\$155.00 + \$12.40 = \$167.40
The final total must include both the purchase subtotal and the applied sales tax.

Anahtar Kavram

Calculating multi-step financial transactions involving partial-order discounts and subsequent aggregate sales tax.
Soru 120Soru →

An electrician buys some wiring supplies that total $150.00 before tax. If the local sales tax rate is 8%, what is the total cost of the supplies including tax?

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Cevap: $162.00

Cevap

$162.00
The correct answer is found by first calculating the sales tax, which is 8% of the 150.00subtotal.Multiplying150.00 subtotal. Multiplying 150.00 by 0.08 gives a tax amount of 12.00.Then,thistaxamountisaddedtotheoriginalcost(12.00. Then, this tax amount is added to the original cost ( 150.00 + 12.00)tofindthefinaltotalof12.00) to find the final total of 162.00.

Adım Adım Çözüm

1
Calculate the amount of sales tax.
$150.00×0.08=$12.00\$150.00 \times 0.08 = \$12.00
To find the tax, multiply the pre-tax cost by the decimal form of the percentage (8% = 0.08).
2
Add the tax amount to the original cost.
$150.00+$12.00=$162.00\$150.00 + \$12.00 = \$162.00
The total cost includes both the base price and the applied sales tax.

Anahtar Kavram

Calculating Sales Tax and Total Cost
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Financial Arithmetic Alıştırma Soruları — Armed Services Vocational Aptitude Battery (ASVAB) — Sayfa 6 | Examkin