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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.?

Respuesta :

zanevas1
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:

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.

Step-by-step 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 = [tex]\frac{1}{4}x[/tex]

So, Sale price =[tex]x-\frac{x}{4}=\frac{3x}{4}[/tex]

We are given that  the sales price is $128.00

So, [tex]\frac{3x}{4}=128[/tex]

[tex]x=\frac{128 \times 4}{3}[/tex]

[tex]x=170.66[/tex]

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 = [tex]170.66+\frac{1}{4} \times 170.66[/tex]

Cost = [tex]213.325[/tex]

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.

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