Mathematics

Question

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 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

  • 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

    Step-by-step 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

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