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Difficulty: MediumDecimal Operations and Currency Word Problems

A base facility manager purchases a heavy-duty power drill originally priced at \\ 85.00 .Heappliesa. He applies a \\15.5015.50 discount coupon to the purchase. After the discount is subtracted, a sales tax of \\ 0.06$ per dollar is added to the remaining amount. What is the final total cost of the drill?

  1. A
    \\ 69.56$
  2. B
    \\ 74.60$
  3. \\ 73.67$Answer
  4. D
    \\ 111.20$

Answer

The final total cost of the drill is \\ 73.67$.
The correct answer accurately subtracts the \\ 15.50 discountfromthe discount from the \\85.0085.00 original price to get a subtotal of \\ 69.50 .Then,thetaxiscorrectlycalculatedbymultiplyingthesubtotalbythedecimalrate:. Then, the tax is correctly calculated by multiplying the subtotal by the decimal rate: \\69.50×0.06=69.50 \times 0.06 = \\ 4.17 .Addingthetaxtothesubtotalyieldsthefinalcostof. Adding the tax to the subtotal yields the final cost of \\73.6773.67.

Step-by-Step Solution

1
Subtract the discount from the original price to find the subtotal.
\\ 85.00 - \\15.50=15.50 = \\ 69.50$
The sales tax is applied to the remaining amount after the coupon is deducted.
2
Calculate the tax amount by multiplying the subtotal by the tax rate.
\\ 69.50 \times 0.06 = \\4.174.17
The tax is \\ 0.06$ for every dollar spent in the subtotal.
3
Add the calculated tax to the subtotal to find the final price.
\\ 69.50 + \\4.17=4.17 = \\ 73.67$
The final total cost must include both the discounted base price and the applied tax.

Key Concept

Applying decimal operations to solve multi-step currency word problems involving discounts and taxes.
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Topics

Decimal Operations and Currency Word Problems

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