A store increases the price of a jacket by 25%, then offers a 20% discount. If the final price is $180, what was the original price? - Treasure Valley Movers

Why a Store Raised a Jacket’s Price by 25% and Then Ran a 20% Discount—What Real Shoppers Need to Know

In a time of rising costs and shifting consumer habits, one retail trend is gaining quiet but noticeable traction: strategic price hikes followed by discounts that create perceived value. A striking example involves a jacket whose original price was raised by 25%, then discounted by 20%—resulting in a final retail price of $180. Understanding how such a pattern works reveals insights into modern pricing psychology and consumer decision-making.

This move sparks curiosity because it balances two familiar retail tactics: price inflation and promotional appeal. Retailers often test whether a higher price, followed by a meaningful discount, drives stronger engagement and sales. In this case, the final figure—$180—hides a calculated pattern that influences perceived savings.

How a Price Hike and Discount Really Work in Retail

When a store increases a product’s price by 25%, it’s not necessarily signaling inflation—it’s a tactic to shift customer perception. A higher “list price” raises the reference point, making the discounted value feel more substantial. After the increase, applying a 20% discount typically lowers the cost by $36 (20% of $180), bringing the net price down. But the original price still influences how much the discount appears.

This approach works especially in fashion, where perceived value and emotional response deeply affect buying choices. Even if the final price ends at $180, the narrative of a “rare deal” after a 25% premium often motivates hesitant shoppers to act. Users Sooner likely compare quickly across options, influenced by messages that blend urgency and reward.

Decoding the $180 Final Price: Step-by-Step

Let’s break down how to reverse-engineer the original price from $180 after a 25% increase followed by a 20% discount.

Let X = the starting original price.
After a 25% hike: Final price = X × 1.25
Then a 20% discount: Final price = X × 1.25 × 0.80 = X × 1.00
Wait—wait. That math shows no change, but only if the discount applies to the inflated price. In reality, consistent discounts are calculated before the price hike. Let’s clarify.

Actually, retailers apply the discount to the higher price:
Final price = Original price × 1.25 × 0.80 = Original price × 1.00 — again