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5 January, 23:59

A mattress underwent the following changes in price before being removed from the store.

20%

Markdown

35%

Markup

24%

Markdown

13%

Markup

31%

Markdown

If the final price of the mattress was $227.83, what was the original price of the mattress, to the nearest dollar? Round all dollar values to the nearest cent.

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Answers (1)
  1. 6 January, 01:17
    0
    Since we are given with the final price already, we calculated for the initial price backwards.

    (1) 227.83 = (1 - 0.31) x₁

    x₁ = 330.19

    (2) 330.19 = (1 + 0.13) x₂

    x₂ = 292.20

    (3) 292.29 = (1 - 0.24) x₃

    x₃ = 384.48

    (4) 384.48 = (1 + 0.35) x₄

    x₄ = 284.80

    (5) 284.80 = (1 - 0.20) x₅

    x₅ = 355.99 or 356

    Therefore, the original price of the mattress is ~ $356.
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