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Zorluk: OrtaTaxes and Tips

A customer orders groceries through a delivery service. The subtotal of the groceries is $50.00\$50.00. The service charges a 10%10\% delivery fee and an 8%8\% sales tax, both calculated on the grocery subtotal. The customer then adds a 20%20\% tip, which is calculated on the amount after the delivery fee and tax are applied. What is the total final cost to the customer?

Cevap: 70.8 $

Cevap

70.80
The final cost is found by first determining the intermediate amount after the fee and tax are added to the subtotal. The delivery fee is $5.00\$5.00 (10%10\% of $50\$50) and the tax is $4.00\$4.00 (8%8\% of $50\$50), bringing the intermediate total to $59.00\$59.00. The 20%20\% tip is calculated sequentially on this $59.00\$59.00 amount, which equals $11.80\$11.80. Adding the tip to the intermediate total yields the final cost of $70.80\$70.80.

Adım Adım Çözüm

1
Calculate the delivery fee based on the subtotal.
$50.00×0.10=$5.00\$50.00 \times 0.10 = \$5.00
The problem states the 10%10\% delivery fee is calculated on the grocery subtotal.
2
Calculate the sales tax based on the subtotal.
$50.00×0.08=$4.00\$50.00 \times 0.08 = \$4.00
The problem states the 8%8\% sales tax is also calculated on the grocery subtotal.
3
Calculate the intermediate total before the tip.
$50.00+$5.00+$4.00=$59.00\$50.00 + \$5.00 + \$4.00 = \$59.00
The tip is based on the amount after the delivery fee and tax are applied, so we must find this intermediate total.
4
Calculate the tip based on the intermediate total.
$59.00×0.20=$11.80\$59.00 \times 0.20 = \$11.80
The 20%20\% tip is applied to the intermediate total of $59.00\$59.00.
5
Calculate the final cost to the customer.
$59.00+$11.80=$70.80\$59.00 + \$11.80 = \$70.80
The final cost is the sum of the intermediate total and the tip.

Anahtar Kavram

Calculating sequential percentages for taxes, fees, and tips on a base amount.
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