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Stacked Discount (3 Coupons)

Each discount applies to what is left, so 30% + 20% + 10% is not 60%. Multiply what survives: 0.7 × 0.8 × 0.9 = 0.504, which is 49.6% off.

Your numbers

Real discount

49.6%

Final price

50,400

Discount

49,600

What it means

Not the 60% you get by adding — the real cut is 49.6%, a gap of 10.4 points.

Formula

Final price = List price × (1 − A share) × (1 − B share) × (1 − Percentage)

With percentage discounts the order never changes the answer. Mix in a fixed-amount coupon and it suddenly does.

What to enter

InputDefaultAccepted range
List priceThe price before any discount — the "was" price on a receipt.100,0000 and up
A share (%)The percentage that applies to the first item.300 ~ 100
B share (%)The percentage that applies to the second item.200 ~ 100
Percentage (%)A share expressed out of 100.100 ~ 100

Step by step

FormulaFinal price = List price × (1 − A share) × (1 − B share) × (1 − Percentage)
With the default numbersFinal price = 100,000 × (1 − 30) × (1 − 20) × (1 − 10)
AnswerReal discount = 49.6 %

Quick reference table

Results when only A share (%) changes and everything else stays put.

A share (%)Real discount (%)Final priceDiscount
1538.861,20038,800
22.544.255,80044,200
3049.650,40049,600
4560.439,60060,400
6071.228,80071,200

What each result means

ResultAt default values
Real discount (%)Stacked discounts boiled down to one number — always less than adding them.49.6
Final priceWhat you pay once discounts and tax are applied.50,400
DiscountHow much came off the list price — what you saved.49,600

Common mistakes

With percentage discounts the order never changes the answer. Mix in a fixed-amount coupon and it suddenly does.

Glossary

List price
The price before any discount — the "was" price on a receipt.
A share
The percentage that applies to the first item.
B share
The percentage that applies to the second item.
Percentage
A share expressed out of 100.
Real discount
Stacked discounts boiled down to one number — always less than adding them.
Final price
What you pay once discounts and tax are applied.
Discount
How much came off the list price — what you saved.

Frequently asked questions

Q. How is Stacked Discount (3 Coupons) calculated?

Final price = List price × (1 − A share) × (1 − B share) × (1 − Percentage) — Each discount applies to what is left, so 30% + 20% + 10% is not 60%. Multiply what survives: 0.7 × 0.8 × 0.9 = 0.504, which is 49.6% off.

Q. Can you walk through an example?

With List price 100,000, A share 30%, B share 20%, Percentage 10%, the answer is Real discount 49.6%.

Q. What do I need to enter?

Enter List price, A share, B share, Percentage. The result recalculates as you type, and an empty box counts as zero.

Q. How much does the answer move if I change a number?

Changing only A share (%) moves the answer to A share (%) 15 → Real discount (%) 38.8 and A share (%) 60 → Real discount (%) 71.2. The table below lays out five steps.

Q. How are the numbers rounded?

Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.

Q. Anything to watch out for?

With percentage discounts the order never changes the answer. Mix in a fixed-amount coupon and it suddenly does.

Related calculators

Tax rates and interest conventions differ by country and product — check your contract for real transactions.