A $100 item gets 20% off, then another 25% off the reduced price. Final price?

How Two Discounts Stack Up — And Why the Math Might Surprise You

When a retailer advertises "an extra 25% off already reduced prices," it sounds like you're saving a whopping 45% in total. But that's not how sequential discounts work — and understanding the difference could save you from some serious shopping confusion.

Start with a $100 item. A 20% discount takes $20 off, bringing the price to $80. So far, so straightforward. But now that second discount — 25% — doesn't apply to the original $100. It applies to the new, reduced price of $80. Twenty-five percent of $80 is $20, leaving you with a final price of $60.

The arithmetic in shorthand: $100 × 0.80 × 0.75 = $60. Multiply the original price by the decimal equivalent of what you're keeping after each discount, and you get there cleanly.

Why It's Not 45% Off

Here's where shoppers commonly trip up. Twenty percent plus 25% feels like 45% off, which would price that item at $55. But combined sequential discounts almost never add up that simply. The second discount is always biting into a smaller number than the first one did, so the total saving is less than the sum of the two percentages.

In this case, the real total discount is 40% — you paid $60 on a $100 item, saving $40. Not 45%. That five-dollar gap is exactly the difference between the intuitive answer and the mathematically correct one.

Retailers Know This — And Use It Strategically

Stacking discounts is a well-documented retail pricing strategy. Stores often advertise a sale price first, then layer on a "VIP" or "loyalty" discount on top. The sequencing creates a perception of bigger savings without the store necessarily giving more away. From a merchant's perspective, a 20% clearance sale followed by a 25% coupon yields a 40% total reduction — not 45% — which protects margins while still generating purchase excitement.

This technique is especially common in fashion retail, outlet stores, and seasonal clearance events. The math is perfectly legal and transparent — but it relies on most shoppers not pausing to run the numbers.

A Quick Mental Shortcut

Next time you see stacked discounts, multiply the "keep" percentages together. If something is 20% off, you keep 80% (0.80). If it's then 25% off, you keep 75% (0.75). Multiply those two — 0.80 × 0.75 = 0.60 — and you instantly know you'll pay 60% of the original price, whatever that price happens to be.

It's a small piece of arithmetic that can make you a sharper, more informed shopper — whether you're hunting a bargain in a department store or decoding a Black Friday email that's screaming about "double discount savings."

The numbers always tell the real story. You just have to know how to read them.