Examkin

Taxes and Tips

26 soru

Tüm türler26Çoktan seçmeli13Sayısal5Boşluk doldurma8
Soru 1Soru →

A family goes out for dinner, and the total cost of their meal is $85.00\$85.00. They use a coupon for 20%20\% off the cost of the meal. A sales tax of 8%8\% is applied to the discounted price. They also decide to leave a 15%15\% tip based on the original pre-discount cost of the meal. What is the total amount the family paid?

Cevabı ve açıklamayı göster

Cevap: $86.19\$86.19

Cevap

The total amount the family paid is $86.19\$86.19.
The correct answer accurately separates the bases for the different percentage calculations. The 20%20\% discount reduces the $85.00\$85.00 meal to $68.00\$68.00. The 8%8\% tax is applied to that $68.00\$68.00 base, adding $5.44\$5.44. The 15%15\% tip is calculated on the original $85.00\$85.00 base, adding $12.75\$12.75. The sum of the discounted meal, tax, and tip is $68.00+$5.44+$12.75=$86.19\$68.00 + \$5.44 + \$12.75 = \$86.19.

Adım Adım Çözüm

1
Calculate the discount amount and the new discounted price of the meal.
20%20\% of $85.00=0.20×85=$17.00\$85.00 = 0.20 \times 85 = \$17.00. The discounted price is $85.00−$17.00=$68.00\$85.00 - \$17.00 = \$68.00.
The coupon provides a 20%20\% discount on the original meal cost, which must be deducted before applying the sales tax.
2
Calculate the sales tax based on the discounted price.
8%8\% of $68.00=0.08×68=$5.44\$68.00 = 0.08 \times 68 = \$5.44.
The problem states that the sales tax is applied to the discounted price, not the original price.
3
Calculate the tip based on the original pre-discount cost.
15%15\% of $85.00=0.15×85=$12.75\$85.00 = 0.15 \times 85 = \$12.75.
The problem explicitly states that the tip is based on the original pre-discount cost of the meal.
4
Add the discounted price, the sales tax, and the tip to find the total amount paid.
$68.00+$5.44+$12.75=$86.19\$68.00 + \$5.44 + \$12.75 = \$86.19.
The final total is the sum of the actual cost of the meal, the required tax, and the gratuity.

Anahtar Kavram

Calculating multi-step financial arithmetic involving discounts, taxes, and tips, ensuring each percentage is applied to the correct base amount.
Soru 2Soru →

Read the scenario and perform the necessary calculations. Enter the exact numerical values in the blanks.

Aşağıdaki boşlukları doldurun

A customer purchases a premium spa package for $250.00\$250.00. The local municipality applies a 6%6\% sales tax to the base price of all spa services. After the tax is added, the customer decides to leave a 20%20\% tip based on the new, post-tax total on the receipt.

The amount of the tip is $\$andthefinaltotalcostpaidbythecustomeris and the final total cost paid by the customer is \$$.
Cevabı ve açıklamayı göster

Cevap

The amount of the tip is 53 (or 53.00) and the final total cost is 318 (or 318.00).
The correct amounts are found by sequentially applying the percentages according to the narrative. First, a 6%6\% tax on the $250.00\$250.00 base price adds $15.00\$15.00, resulting in a $265.00\$265.00 subtotal. The 20%20\% tip is then applied to this $265.00\$265.00 subtotal, resulting in a $53.00\$53.00 tip. Adding this tip to the subtotal gives the final cost of $318.00\$318.00.

Adım Adım Çözüm

1
Calculate the sales tax amount on the base price.
$15.00\$15.00
Multiply the base price ($250.00\$250.00) by the tax rate (0.060.06).
2
Determine the post-tax total.
$265.00\$265.00
Add the tax amount ($15.00\$15.00) to the base price ($250.00\$250.00) to find the amount upon which the tip will be calculated.
3
Calculate the tip amount.
$53.00\$53.00
Multiply the post-tax total ($265.00\$265.00) by the tip rate (0.200.20).
4
Calculate the final total cost.
$318.00\$318.00
Add the tip amount ($53.00\$53.00) to the post-tax total ($265.00\$265.00).

Anahtar Kavram

Calculating sales tax on a base price and applying a tip percentage to the sequential post-tax total.
Soru 3Soru →

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?

Cevabı ve açıklamayı göster

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 4Soru →

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?

Cevabı ve açıklamayı göster

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 5Soru →

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?

Cevabı ve açıklamayı göster

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 6Soru →

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 $\$,thegratuityis, the gratuity is \$,andthefinaltotalcostis, and the final total cost is \$$.
Cevabı ve açıklamayı göster

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 7Soru →

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

Cevabı ve açıklamayı göster

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 8Soru →

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 $\$andthetotalcostofthehaircutis and the total cost of the haircut is \$$.
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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 9Soru →

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?

Cevabı ve açıklamayı göster

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 10Soru →

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 11Soru →

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 12Soru →

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 13Soru →

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 14Soru →

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?

Cevabı ve açıklamayı göster

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
Soru 15Soru →

Read the scenario below and determine the missing values.

Aşağıdaki boşlukları doldurun

Marcus buys a new winter coat with a price tag of 80.00.Thestoreappliesa580.00. The store applies a 5% sales tax to all clothing purchases. The amount of sales tax added to his purchase is , which brings the total cost of the coat to $.
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Cevap

The sales tax amount is 4.00andthetotalcostis4.00 and the total cost is 84.00.
First, the 5% tax on the 80.00coatiscalculatedbymultiplying80by0.05,yielding80.00 coat is calculated by multiplying 80 by 0.05, yielding 4.00 for the isolated tax amount. Then, this 4.00taxisaddedtotheinitial4.00 tax is added to the initial 80.00 price, resulting in a final total of $84.00.

Adım Adım Çözüm

1
Calculate the amount of sales tax.
80.00×0.05=80.00 \times 0.05 = 4.00
To find the tax amount, convert the percentage (5%) to a decimal (0.05) and multiply it by the original price.
2
Calculate the final total cost.
80.00+80.00 + 4.00 = $84.00
The final total is the sum of the original price and the calculated sales tax.

Anahtar Kavram

Calculating sales tax amounts and finding the final total cost.
Soru 16Soru →

A corporate team of 88 employees goes out to dinner. The original food subtotal for the group is $400.00\$400.00. The team uses a coupon for 15%15\% off the food subtotal. The restaurant automatically adds an 18%18\% gratuity, which is calculated based on the original food subtotal before the discount. A 6%6\% sales tax is then applied only to the discounted food amount. The gratuity is not taxed. If the final total bill is split evenly among all 88 employees, how much does each employee pay?

Cevabı ve açıklamayı göster

Cevap: $54.05\$54.05

Cevap

Each employee pays $54.05\$54.05.
The problem requires calculating three components based on specific amounts. First, the discounted subtotal is found by subtracting 15%15\% of $400\$400 ($60\$60) to get $340\$340. Second, the 6%6\% tax is applied to the $340\$340 discounted subtotal, adding $20.40\$20.40. Third, the 18%18\% gratuity is applied to the original $400\$400 subtotal, adding $72.00\$72.00. The total bill is $340+$20.40+$72.00=$432.40\$340 + \$20.40 + \$72.00 = \$432.40. Splitting this evenly among 88 employees gives $54.05\$54.05 per person.

Adım Adım Çözüm

1
Calculate the discount and the discounted food subtotal.
Discount = 0.15×$400=$600.15 \times \$400 = \$60. Discounted subtotal = $400−$60=$340\$400 - \$60 = \$340.
The 15%15\% coupon is applied to the original subtotal to find the amount subject to sales tax.
2
Calculate the sales tax.
Tax = 0.06×$340=$20.400.06 \times \$340 = \$20.40.
The 6%6\% sales tax is applied only to the discounted food amount.
3
Calculate the gratuity.
Gratuity = 0.18×$400=$72.000.18 \times \$400 = \$72.00.
The gratuity must be calculated based on the original food subtotal ($400\$400), as explicitly stated in the problem.
4
Calculate the final total bill and split it evenly among the employees.
Total bill = $340+$20.40+$72.00=$432.40\$340 + \$20.40 + \$72.00 = \$432.40. Per employee = $432.40÷8=$54.05\$432.40 \div 8 = \$54.05.
The final bill is the sum of the discounted food, tax, and gratuity. Dividing by 88 gives the individual cost.

Anahtar Kavram

Multi-step financial arithmetic involving independent bases for taxes and tips, followed by proportional division.
Soru 17Soru →

An event planner organizes a retirement banquet. The standard cost for the food and beverage package is $500. The venue provides a 15% preferred client discount. A local sales tax of 8% is charged on the discounted price. In addition, an automatic gratuity of 20% is applied, which is also calculated based on the discounted price before tax. What is the total final cost of the banquet, in dollars?

Aşağıdaki boşlukları doldurun

Total final cost: $
Cevabı ve açıklamayı göster

Cevap

544
The final total is found by first applying the 15% discount to the original 500cost,yieldingadiscountedbaseof500 cost, yielding a discounted base of 425. Both the 8% sales tax (34)andthe2034) and the 20% gratuity ( 85) are calculated using this 425base.Addingthediscountedbaseprice,thetax,andthegratuitygivesafinaltotalof425 base. Adding the discounted base price, the tax, and the gratuity gives a final total of 544.

Adım Adım Çözüm

1
Calculate the amount of the discount.
$75
The venue provides a 15% discount on the original $500 cost (0.15 × 500 = 75).
2
Determine the discounted price of the package.
$425
Subtract the discount amount from the original cost (500 - 75 = 425).
3
Calculate the sales tax.
$34
The 8% tax is charged on the $425 discounted price (0.08 × 425 = 34).
4
Calculate the gratuity.
$85
The 20% gratuity is also calculated based on the $425 discounted price (0.20 × 425 = 85).
5
Sum the components to find the total final cost.
$544
Add the discounted base price, the sales tax, and the gratuity together (425 + 34 + 85 = 544).

Anahtar Kavram

Calculating sequential percentages, including applying taxes and tips to a specific post-discount base amount.
Soru 18Soru →

A family books a guided kayak tour that originally costs $250.00\$250.00. They apply a promotional code that gives them a 20%20\% discount. After the discount is applied, an 8%8\% local booking tax is added. What is the final amount the family pays for the tour?

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Cevap: $216.00\$216.00

Cevap

$216.00\$216.00
The correct total is found by first reducing the original price by 20%20\% (a $50.00\$50.00 reduction, resulting in $200.00\$200.00). Then, an 8%8\% tax is calculated on this new balance ($200.00×0.08=$16.00\$200.00 \times 0.08 = \$16.00). Adding the tax to the discounted price yields $216.00\$216.00.

Adım Adım Çözüm

1
Calculate the monetary value of the discount.
20%20\% of $250.00=0.20×250=$50.00\$250.00 = 0.20 \times 250 = \$50.00
The discount amount must be determined before calculating the new adjusted price.
2
Subtract the discount from the original price.
$250.00−$50.00=$200.00\$250.00 - \$50.00 = \$200.00
This finds the discounted subtotal, which is the amount subject to taxation.
3
Calculate the tax amount on the discounted price.
8%8\% of $200.00=0.08×200=$16.00\$200.00 = 0.08 \times 200 = \$16.00
Taxes are applied to the final selling price after discounts.
4
Add the tax to the discounted price to find the final total.
$200.00+$16.00=$216.00\$200.00 + \$16.00 = \$216.00
The customer pays the discounted price plus the applicable booking tax.

Anahtar Kavram

Calculating sequential percentages in financial transactions (discounts followed by taxes).
Soru 19Soru →

A customer brings their vehicle in for repairs. The mechanic's itemized bill lists $200.00\$200.00 for labor and $120.00\$120.00 for parts. The customer uses a promotional code that provides a 15%15\% discount on the labor cost. A 5%5\% sales tax is applied only to the cost of the parts. If the customer adds a 20%20\% tip calculated on the original pre-discount labor cost, what is the total amount the customer pays?

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Cevap: $336.00\$336.00

Cevap

The total amount the customer pays is $336.00\$336.00.
The total consists of four separate components: the discounted labor, the parts, the tax, and the tip. First, the discounted labor is $200−(0.15×$200)=$170\$200 - (0.15 \times \$200) = \$170. The parts remain at $120\$120. Second, the 5%5\% sales tax is applied only to the parts, resulting in an additional 0.05×$120=$60.05 \times \$120 = \$6. Finally, the 20%20\% tip is calculated strictly on the original $200\$200 labor cost, yielding $40\$40. Summing these amounts yields $170+$120+$6+$40=$336.00\$170 + \$120 + \$6 + \$40 = \$336.00.

Adım Adım Çözüm

1
Calculate the discounted labor cost.
$170.00\$170.00
A 15%15\% discount on the $200.00\$200.00 labor cost is 0.15×200=300.15 \times 200 = 30. Subtracting this from the original cost gives $200−30=$170\$200 - 30 = \$170.
2
Calculate the sales tax on the parts.
$6.00\$6.00
The 5%5\% tax is only applied to the $120.00\$120.00 parts cost. 0.05×120=60.05 \times 120 = 6.
3
Calculate the tip based on the original labor cost.
$40.00\$40.00
The problem states the 20%20\% tip applies to the original pre-discount labor cost ($200.00\$200.00). 0.20×200=400.20 \times 200 = 40.
4
Sum all final costs to find the total amount paid.
$336.00\$336.00
Add the discounted labor, parts, tax on parts, and tip: $170+$120+$6+$40=$336.00\$170 + \$120 + \$6 + \$40 = \$336.00.

Anahtar Kavram

Calculating percentages on distinct bases in multi-step financial transactions.
Tahmini Süre:2m 0s
Soru 20Soru →

A customer pays for a car detailing service that costs $120.00\$120.00 before tax. If the local sales tax rate is 7%7\%, what is the total cost of the service including tax?

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Cevap: $128.40\$128.40

Cevap

The total cost of the service is $128.40\$128.40.
To find the total cost, first calculate the sales tax by converting 7%7\% to a decimal (0.070.07) and multiplying it by the original price of $120.00\$120.00, which equals $8.40\$8.40. Then, add this tax amount to the original price ($120.00+$8.40=$128.40\$120.00 + \$8.40 = \$128.40) to get the final total.

Adım Adım Çözüm

1
Convert the sales tax percentage to a decimal.
7%=0.077\% = 0.07
Percentages must be expressed as decimals to perform mathematical operations.
2
Calculate the amount of sales tax.
$120.00×0.07=$8.40\$120.00 \times 0.07 = \$8.40
Multiplying the base price by the tax rate gives the total tax amount.
3
Add the tax amount to the original price to find the total cost.
$120.00+$8.40=$128.40\$120.00 + \$8.40 = \$128.40
The total cost includes the base price plus the applied tax.

Anahtar Kavram

Calculating sales tax and total cost
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Taxes and Tips Alıştırma Soruları — Armed Services Vocational Aptitude Battery (ASVAB) | Examkin