Question

A bike shop marks up a hybrid bike from $200 to $330 and discounts a road bike from 330 to 200 by what you percent is the road bike discounted . I need the answer ASAP

Answer 1

39.39%

Explanation:

There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

`Percent~Change = |(New~Value~-~Original~Value)/(Original~Value)| * 100`

1 - Understanding the equation

The '|'s which are surrounding the fraction are absolute value symbols in mathematics,

Absolute value means the positive value of anything inside

Examples:

| -8 | = 8

| 8 | = 8

and

| -2 | = 2

| 2 | = 2

the * 100 means you multiply (the * symbol means multiply) by 100.

We do this to get it into a percent.

3 - Assign numbers to the values from our equation

Original Value (What it changed from): 330

New Value (What it changed to): 200

3 - Plug in our values into our variables from our equation
`Percent~Change = |(200-330)/(330)| * 100 = |(-130)/(330)| = = |-0.39...| * 100 = 0.3939... *100 =`

Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.

Hope this helps :)