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Terry goes to the store to buy a shirt. The original price is $32. The shirt is
marked down 20%. When he gets to the check-out stand, he learns that
everything in the store is another 10% off of the marked down price. Which
dollar amount below is closest to the amount Terry paid for the shirt?


Sagot :

Answer:

The closest amount paid is $23

Step-by-step explanation:

Given

[tex]Price = \$32[/tex]

[tex]Mark\ down = 20\%[/tex]

Amount = 10% of Marked down price

Required

Determine the amount paid

First, we calculate the marked down price P2:

[tex]P_2 = Price(1 - Mark\ down)[/tex]

Substitute values for Price and Mark down

[tex]P_2 = \$32 * (1 - 20\%)[/tex]

Express percentage as decimal

[tex]P_2 = \$32 * (1 - 0.20)[/tex]

[tex]P_2 = \$32 * (0.80)[/tex]

Remove bracket

[tex]P_2 = \$32 * 0.80[/tex]

[tex]P_2 = \$25.6[/tex]

The payable amount is 10% off the marked down price,

This is calculated as:

[tex]Amount = P_2 - P_2 * 10\%[/tex]

Substitute $25.6 for P2

[tex]Amount = \$25.6 - \$25.6* 10\%[/tex]

Express percentage as decimal

[tex]Amount = \$25.6 - \$25.6* 0.10[/tex]

[tex]Amount = \$25.6 - \$2.56[/tex]

[tex]Amount = \$23.04[/tex]

The closest amount paid is $23