A store offers a 20% discount on an item, then an additional 10% off the reduced price. If the final price is $72, what was the original price?

Tue, 05 May 2026 19:27:30 +0000

**Why More Shoppers Are Talking About Multi-Layer Discounts Like the $72 Final Price** In today’s value-driven marketplace, dynamic pricing strategies are gaining attention—especially when they offer bold savings. A common scenario now circulating is: a store delivers initial 20% off, then applies an additional 10% discount on the reduced price. If the final cost comes in at $72, many curiosity-seeking U.S. shoppers are trying to reverse-calculate the original price. With rising cost sensitivity and growing interest in smart spending, this kind of tiered discount setup is resonating deeply, particularly among budget-conscious consumers balancing quality and savings. **Why This Discount Strategy Is Catching On in the US** Recent economic trends show shoppers increasingly favor visible, stacked savings that feel both generous and transparent. Offering a standard 20% first discount provides an instant anchor in price perception, followed by a second 10% cut that reinforces ongoing value. This approach aligns with how digital-native buyers research deals—favoring clarity over complex math and looking for momentary savings with tangible returns. The compound discount model not only simplifies the perceived deal but also builds trust by clearly showing both stages of price reduction. **Understanding How the $72 Final Price Was Built** What does $72 really represent in this pricing structure? When a product starts with a 20% discount, the price drops to 80% of the original. Applying an additional 10% off the reduced price means the final price is 90% of the already discounted amount. To reverse the math: Final Price = Original Price × 0.80 × 0.90 So: $72 = Original Price × 0.72 => Original Price = $72 ÷ 0.72 = $100 This reveals the original price was $100—a figure widely shared in cost-comparison discussions among budget-focused shoppers. The transparency of this calculation helps users understand the real value behind stacked discounts. **Common Questions Inventors Have About the Discount Math** Q: If a store offers 20% off plus 10% off, and I use both on the original, how does the final price compare? A: Combining the discounts doesn’t simply add percentages—applying 20% first (*0.80x*) then 10% (*0.90x*) gives the compounded discount, not 30%. The result reflects non-linear savings,