A store owner marked up the price of an item by 20%. Later, during a sale, the owner offered a 15% discount on the marked-up price. If the final selling price was $204, what was the original price of the item?

Question

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B) $200. Let original price be P. Marked-up price = P * (1 + 0.20) = 1.2P. Discounted price = 1.2P * (1 - 0.15) = 1.2P * 0.85 = 1.02P. Given 1.02P = $204. So, P = $204 / 1.02 = $200.

A store owner marked up the price of an item by 20%. Later, during a sale, the owner offered a 15% discount on the marked-up price. If the final selling price was $204, what was the original price of the item?

✓ Correct Answer: Option B

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