A music player was marked down by 1/4 of the original price. a. If the sales price is $128, what is the original price? b. If the music player was marked up by
Question
a. If the sales price is $128, what is the original price?
b. If the music player was marked up by 1/2 before it was placed on the sales floor, what was the price that the store paid for the player?
c. What is the difference between the discount price and the price that the store paid for the music player?
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1 Answer

1. User Answers WaywardDelaney
Answer:
A ) The Original price of music player before it was marked down by [tex]\dfrac{1}{4}[/tex] is $512
B ) The price that store paid for player is $256
C ) The difference between discount price and price paid by store is $128
Stepbystep explanation:
Given as :
A ) The sale price of music player = $128
The music player is marked down by [tex]\dfrac{1}{4}[/tex] of original price
Let The original price = $x
Now, According to question
[tex]\dfrac{1}{4}[/tex] of original price = $128
i.e [tex]\dfrac{1}{4}[/tex] × $x = $128
Or, x = 128 × 4
∴ x = $512
So, The Original price of music player before it was marked down by [tex]\dfrac{1}{4}[/tex] is $512
B ) The music player is marked up by [tex]\dfrac{1}{2}[/tex] before it was placed on sales floor .
Let The price that store paid for player = $y
Now, According to question
∵ The original price of player = $512
So, The price that store paid for player = [tex]\dfrac{1}{2}[/tex] × original price of player
i.e y = [tex]\dfrac{1}{2}[/tex] × $512
Or , y = $256
So,The price that store paid for player = $256
C ) Let The difference between discount price and price paid by store = $z
So, According to question
z = y  discount price
Or , z = $256  $128
∴ z = $128
So, The difference = $128
Hence, A ) The Original price of music player before it was marked down by [tex]\dfrac{1}{4}[/tex] is $512
B ) The price that store paid for player is $256
C ) The difference between discount price and price paid by store is $128
Answer