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Zorluk: Çok zorTaxes and Tips

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?

  1. A
    $52.70\$52.70
  2. $54.05\$54.05Cevap
  3. C
    $54.50\$54.50
  4. D
    $77.00\$77.00

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.
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Konular

Taxes and Tips

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