Question

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!!!!​

Answer 1

D. 40%

Explanation:

Concepts

Percent Change

Percent change refers to how much, as a percentage, a quantity increases or decreases. The formula for percent change is
`(FV-IV)/(IV) * 100 = PC`. 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.

• 
  `(12-20)/(20) * 100`

Step 2: Simplify.

• 
  `(8)/(20) * 100`
• 
  `800/20`
• 
  `40`

Therefore, the answer is D. 40%.

Answer 2

40%

Explanation:

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

12*100=1,200/20=60 100-60=40%