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A department store had a sale in which the price of stereos was reduced by 30%. Teresa bought a stereo that originally cost $600. The sales tax was 7%. How much did Teresa pay for her stereo?

A) $390.60
B) $420.00
C) $449.40
D) $462.00​

User Apapa
by
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2 Answers

1 vote

Originally: 600

Reduced by: 30%

Increased by: 7%

So:

600 . (1 - 30%) . (1 + 7%)

600 . 0,7 . 1,07 = 449,4

Alternative C.

User Pollizzio
by
7.8k points
5 votes

Answer:

C) $449.40

Explanation:

To calculate how much Teresa paid for her stereo after the sale and including sales tax, we follow these steps:

1. Calculate the reduction in price:

The stereo's price was reduced by 30%, so the reduction amount is 30% of $600:

Reduction = 0.30 * $600 = $180

2. Calculate the new price after the reduction:

The new price is the original price minus the reduction:

New Price = $600 - $180 = $420

3. Calculate the amount of sales tax:

The sales tax is 7% of the new price:

Sales Tax = 0.07 * $420 = $29.40

4. Calculate the final amount Teresa paid:

The final amount is the new price plus the sales tax:

Final Amount = $420 + $29.40 = $449.40

Therefore, Teresa paid $449.40 for her stereo.

Hope it helps!! :)

User Zagoa
by
8.2k points