Triple Discount Calculator

A triple discount is applied sequentially rather than all at once. This means the second discount applies to the reduced price after the first discount, and the third discount applies to the price remaining after the second markdown. Mathematically, the final price is calculated using the formula: Final Price = Original Price * (1 - d1) * (1 - d2) * (1 - d3), where d1, d2, and d3 represent the respective discount decimals. To find the effective total discount percentage, use the formula: Effective Discount = 1 - [(1 - d1) * (1 - d2) * (1 - d3)]. This reveals the true percentage shaved off the original price, which is always slightly less than the simple sum of the three percentages due to compounding.

Imagine you are purchasing a high-end camera with an original price of $1,000. The store is running a promotional event featuring three stacked markdowns: a first discount of 20%, an additional store-wide coupon of 10% off the reduced price, and a final loyalty member markdown of 5% off the new subtotal. First, apply the 20% discount: $1,000 * (1 - 0.20) = $800. Next, apply the 10% discount to that $800 subtotal: $800 * (1 - 0.10) = $720. Finally, apply the 5% loyalty discount to the $720 balance: $720 * (1 - 0.05) = $684. Your final price is $684, meaning your total price difference is $316, representing an effective total discount of 31.6%.

When evaluating multi-stage sales, always remember that the order in which percentage discounts are applied does not change the final price. However, mixing percentage discounts with fixed-dollar coupons can alter your outcome significantly, as fixed amounts should typically be subtracted after percentage reductions to maximize savings. Always check merchant policy to ensure stacked promotions are permitted before calculating your expected budget.