A TV has a wholesale price of $550 from the manufacturer. The electronics store purchases the TV and applies a 25% markup, but then a month later offers a 25% discount for the TV. What is the current price of the TV?

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Answer:

The current price of the TV is $515.63

Step-by-step explanation:

To find the marked-up price, we use a proportion.

[tex]\frac{125}{100}[/tex] = [tex]\frac{x}{550}[/tex] ---[tex]\frac{125}{100}[/tex] is 125%, or a 25% markup

100x = 68750 --- cross multiply the fractions

x = 687.5 --- divide both sides by 100

To find the new marked down price, we use another proportion.

[tex]\frac{75}{100}[/tex] = [tex]\frac{x}{687.5} [/tex]

100x = 51562.5 --- cross multiply the fractions

x = 515.625 --- divide both sides by 100

x = 515.63 --- round to nearest hundredth for money

The current price of the TV is $515.63

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