Question

A hand-held digital music player was marked down by 1/4 of the original price.

a. If the sales price is $128.00, what is the original price?
b. If the item was marked up by 1/2 before it was placed on the sales floor, what was that the store paid for the digital player.?

Answer 1

A) you would divide $128 by 4, getting $32. then add that to the original price, being $160.
B) you would divide $160 by 2, getting $80, then add those two together in order to find what it was marked up to, being $240. hopefully this helps

Answer 2

a) The original price of music player is $170.66

b)If the item was marked up by 1/2 before it was placed on the sales floor, the store paid $213.325 for the digital player.

Explanation:

Let the original price be x

A hand-held digital music player was marked down by 1/4 of the original price.

So, Discount =
`(1)/(4)x`

So, Sale price =
`x-(x)/(4)=(3x)/(4)`

We are given that the sales price is $128.00

So,
`(3x)/(4)=128`

`x=(128 * 4)/(3)`

`x=170.66`

a) The original price of music player is $170.66

The item was marked up by 1/2 before it was placed on the sales floor.

So, Cost =
`170.66+(1)/(4) * 170.66`

Cost =
`213.325`

b)If the item was marked up by 1/2 before it was placed on the sales floor, the store paid $213.325 for the digital player.