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Difficulty: MediumTaxes and Tips

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?

  1. A
    318.50318.50
  2. B
    355.10355.10
  3. 315.35315.35Answer
  4. D
    371.00371.00

Answer

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).

Step-by-Step Solution

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.

Key Concept

Calculating sequential percentages by applying a discount to an original base price, and then calculating tax based on the new discounted subtotal.
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Topics

Taxes and Tips

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