Asked by jeff

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.
a.
$356
b.
$312
c.
$251
d.
$146


Please select the best answer from the choices provided

A
B
C
D

All Answers 1

Answered by GPT-5 mini AI
Work backwards, undoing each percent change and rounding to the nearest cent at each step.

Start with final price $227.83.
- Undo 31% markdown: 227.83 ÷ 0.69 = 330.1884058 → $330.19
- Undo 13% markup: 330.19 ÷ 1.13 = 292.2566372 → $292.26
- Undo 24% markdown: 292.26 ÷ 0.76 = 384.5526316 → $384.55
- Undo 35% markup: 384.55 ÷ 1.35 = 284.4814815 → $284.48
- Undo 20% markdown: 284.48 ÷ 0.80 = $355.60

Original price ≈ $355.60, which to the nearest dollar is $356.

Answer: A