Question

During a sale, a store offered a 40% discount on a bed that originally sold for $620. After the sale, the discounted price of the bed was marked up by 40%. To the nearest whole number, what percent of the original price was the price after markup?

Answer 1

After a 40% discount and subsequent 40% markup on the original price of $620, the bed's price is $520.80, which is 84% of the original price, when rounded to the nearest whole number.

Step-by-step explanation:

The question deals with calculating the final price of a bed after it has been discounted by 40% and then marked up by the same percentage. The original price of the bed is $620. To find the sale price, we take 40% off:
$620 - (40% of $620) = $620 - 0.40 × $620 = $620 - $248 = $372.

After the sale, the bed was marked up by 40%. So, we calculate the markup:
$372 + (40% of $372) = $372 + 0.40 × $372 = $372 + $148.80 = $520.80.

To find out what percentage of the original price the final price is, we divide the marked-up price by the original price and then multiply by 100%:
(Final Price / Original Price) × 100% = ($520.80 / $620) × 100% = 0.840 × 100% = 84%.

Rounded to the nearest whole number, the price after markup is 84% of the original price.