Question

A music player was marked down by 1/4 of the original price. If the sales price is $128, what is the original price? If the music player was marked up by ½ before it was placed on the sales floor, what was the price that the store paid for the player? What is the difference between the discount price and the price that the store paid for the music player?

Answer 1

Explanation:

Let the original price be represented by x.

1.
`(1)/(4)` of x = x - 128

`(x)/(4)` = x - 128

x -
`(x)/(4)` = 128

4x - x = 4 x 128

3x = 512

x =
`(512)/(3)`

= 170.67

x = 170.67

The original price is $170.67.

2. If the price of the music player was marked up by ½ of its original price, its new price would be;

170.67 + (170.67 x ½) = 170.67 +85.335

= 256.005

≅ $ 256.0

The price paid by the store for the music player is still the original price i.e $170.67.

3. The difference between the discounted price and the price paid by the store can be determined by;

price paid by the store - the discounted price of the music player

= $170.67 - $128

= $42.67