Question

A sweater is marked down $25 to $19 what is the percent of change

Answer 1

19/25 = x/100
Cross multiply:
1,900
Divide 1,900 by 25
Equals 76
Subtract 76 from 100
Answer: 24% change

I hope this helps!

Answer 2

To solve the problem we must know about Percentage.

Percentage

A percentage is a way to describe a part of a whole. such as the fraction $\bold{\dfrac{1}{4}}$ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given to us

• A sweater is marked down $25 to $19

Assumption

Let the x% be the remaining amount.

Remaining Amount

x% of $25 = $19

$\dfrac{x}{100} \times \ 25 = \ 19\\\\\dfrac{x}{100} \times 25 = 19\\\\\dfrac{x}{4} = 19\\\\x = 19\times 4\\x = 76$

Thus, $19 is 76% of $25.

Percent of change

the percent of change =  Orignal percentage - final percentage

                                      =  100% - 76%

                                      =  24%

Hence, the percentage change is 24%.

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