Discounted price
v1preciodescuentoprecio_finalHow it is worked out
Find out what something costs once a percentage discount has been taken off.
A 30 % discount leaves you paying 70 %: turn the rate into the share that remains and multiply it by the price. Two discounts in a row do not add up, because the second one applies to whatever the first one left.
The expression that runs
precio * (1 - descuento / 100)The fields arrive with an example filled in: put your own numbers in and run it again. You can also edit the formula to fit your case.
What if the formula were yours?
This calculator is not hand-written: it is an Axioma formula. Open it in the editor to see how it is built, adapt it to your case and create the ones you need.
How the final price is worked out
A 30 % discount means paying 70 %, so the calculation is a multiplication by 0.70. On a price of 150,000, the final price is 105,000 and the saving is 45,000.
Thinking in terms of what you pay rather than what comes off is what makes this easy in your head: half is 0.50, three quarters is 0.75, and 15 % off is multiplying by 0.85.
Two discounts in a row do not add up
Thirty per cent and then a further ten is not forty. The second percentage applies to a price that has already come down: 150,000 times 0.70 times 0.90 is 94,500, which is a 37 % discount on the original price.
The gap widens as the percentages grow: two 50 % reductions do not make the item free, they leave 25 % of the price. It is the same reason a discount can never exceed 100 %.
Working out the percentage when all you have is the two prices
Divide the final price by the original, subtract one and flip the sign. From 150,000 to 105,000 the ratio is 0.70, so the discount is 30 %.
It is the way to check whether an offer is what it claims, which is where the surprises live: original prices inflated before the sale, or percentages worked out against a price nobody was paying.
Frequently asked questions
- How do I know what discount I actually got?
- Divide what you paid by the original price and subtract it from one. If you paid 105,000 on a price of 150,000, the ratio is 0.70 and the discount was 30 %.
- Can two discounts be added together?
- No. The factors multiply: 30 % and 10 % are 0.70 times 0.90, which is 37 % and not 40 %. The result is always somewhat less than the sum.
- Does the discount come before or after tax?
- Before: the price comes down first and the tax is worked out on the discounted price, because tax applies to what is actually charged.