A small business hires a contractor to install a new office security system. The initial q… — Armed Services Vocational Aptitude Battery (ASVAB)

A small business hires a contractor to install a new office security system. The initial quote for the work is $800. After negotiating, the business receives a 15% discount on the initial quote. The installation is subject to a 5% local service tax, which is applied to the discounted price. To show appreciation for completing the job ahead of schedule, the business adds a 10% tip calculated from the original$ 800 quote. What is the total amount the business pays in dollars?

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 (

120) from the original quote, yielding

680. Next, calculate the 5% tax on this discounted price (

680 × 0.05 =

34). Then, calculate the 10% tip based on the original quote as specified in the scenario (

800 × 0.10 =

80). The final total is the sum of the discounted price, the tax amount, and the tip amount:

680 +

34 +

80 = $794.

Adım Adım Çözüm

Calculate the discount amount

$120

The business received a 15% discount on the initial $800 quote.

Determine the discounted price

$680

Subtracting the

120 discount from the

800 initial quote gives the new base price for the tax.

Calculate the local service tax

$34

The 5% tax is applied to the discounted price of

680 (0.05 ×

680 = $34).

Calculate the tip amount

$80

The problem states the 10% tip is specifically based on the original

800 quote (0.10 ×

800 = $80).

Calculate the final total

$794

Add the discounted price (

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

Cevap

Adım Adım Çözüm

Anahtar Kavram

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