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.

Question

Ignacio Newman

Mathematics

25 August, 16:24

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.

+2

Answers (1)

Know the Answer?

Wyatt Reilly · Answer 1

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.

A mattress underwent the following changes in price before being removed from the store.20%Markdown35%Markup24%Markdown13%Markup31%MarkdownIf 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.