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the price of a sweater was reduced from $20 to $12. by what percentage was the price of the sweater reduced?

A.8% B.80% C.60% D.40%


PLEASE HELP ME!!!!​

Respuesta :

Answer:

40%

Step-by-step explanation:

The original is $20. It is now 12/20 is ?/100

12*100=1,200/20=60     100-60=40%

Answer:

D. 40%

Step-by-step explanation:

Concepts

Percent Change

Percent change refers to how much, as a percentage, a quantity increases or decreases. The formula for percent change is [tex]\frac{FV-IV}{IV} * 100 = PC[/tex]. Keep in mind percent change is not negative, but can be written as 40% decrease or 40% increase.

  • FV = Final Value
  • IV = Initial Value
  • PC = Percent Change (%)

Application

How Does this Apply Here?

We are being asked to find the percent change, or the change in the price of the sweater from $20 to $12. Thus, we will have to use the aforementioned formula. $20 is the initial value and $12 is the final value.

Solving

Solving for Percent Change

Step 1: Plug in values.

  • [tex]\frac{12-20}{20} * 100[/tex]

Step 2: Simplify.

  • [tex]\frac{8}{20} * 100[/tex]
  • [tex]800/20[/tex]
  • [tex]40[/tex]

Therefore, the answer is D. 40%.

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