A store pays $20 for a hat. to make a profit the store prices the hat 60% higher. later a sale reduce the price by 10%. finally, a clearance sale reduces the sale price by 40%. what is the clearance price?

Respuesta :

The clearance price of hat is $17.28

Step-by-step explanation:

Price paid by store = $20

Increment = 60% of price paid

Increment = [tex]\frac{60}{100}*20 = \frac{1200}{100}[/tex]

Increment = $12

Increased price = 20+12 = $32

Sale = 10%

Discount amount = 10% of increased price

Discount amount = [tex]\frac{10}{100}*32=\frac{320}{100}[/tex]

Discount amount = $3.2

Sale price = 32 - 3.2 = $28.8

Clearance sale = 40%

Discount of clearance sale = 40% of sale price

Discount = [tex]\frac{40}{100}*28.8=\frac{1152}{100}[/tex]

Discount = $11.52

Clearance price = sale price - Discount of clearance sale

Clearance price = 28.8 - 11.52 = $17.28

The clearance price of hat is $17.28

Keywords: percentage, subtraction

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