Discount Formula:
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A 50% then 10% discount means applying two discounts sequentially - first 50% off the original price, then 10% off the already discounted price. This results in a total discount of 55% off the original price.
The calculator uses the formula:
Where:
Explanation: The discounts are applied multiplicatively, not additively. First the price is halved (50% off), then the result is reduced by another 10%.
Details: Sequential discounts compound differently than a single discount. A 50% then 10% discount is equivalent to a 55% total discount (not 60%), because the second discount is applied to the already reduced price.
Tips: Simply enter the original price in dollars (without currency symbol). The calculator will show the final price after both discounts and the total percentage saved.
Q1: Why isn't the total discount 60%?
A: Because the second 10% discount is applied to the already reduced price (after 50% off), not the original price.
Q2: How is this different from a single 55% discount?
A: Mathematically, they're equivalent in the final price, but sequential discounts are often used in marketing to emphasize multiple savings opportunities.
Q3: Can I calculate other sequential discounts this way?
A: Yes, simply multiply the remaining percentages (as decimals) in order. For example, 20% then 30% would be Original × 0.8 × 0.7.
Q4: Does the order of discounts matter?
A: Mathematically, no - 50% then 10% gives the same result as 10% then 50%. Both result in 55% total discount.
Q5: How would I calculate three sequential discounts?
A: Multiply by each remaining percentage. For 50%, 10%, then 20%: Original × 0.5 × 0.9 × 0.8.