How are percentages added together?
Are they added together multiplicatively or additive.
Lets say i want to craft an item worth 100 gp and i have hedge magician 5%, eldritch smith 5% and spark of creation 5%, and the the evangelist boon of Torag for an ekstra 10 %
Would the discount add together to 25%
or would it be
1.05* 1.05* 1.05 *1.10 = 27,33% discount
or
5% discount 95gp 5% 90,25Gp 5% 85,7375 gp 77,16375 gp
i believe you calculate each per the base price by itself then add them up.
after all the abilities are a discount of the (base price). not the (base price-X\Y\Z).
So just add them together cause they all affect the base price?
so 100 5% 95 5% 90 5% 85 10% 75
side note, one should not be able to benefit from the first 3 at once since they are all traits of the 'basic (magic)' Category and you can't have more then a one trait of the same Category.
"Spark of Creation
Source Champions of Purity pg. 11
Category Basic (Magic)
You have always had a knack for making useful things, and your talent as an artisan was evident even at an early age. You gain a +1 trait bonus on Craft checks, and the cost of creating magic items is reduced by 5%."
"Eldritch Smith
Source Dwarves of Golarion pg. 11
Category Basic (Magic)
Requirement(s) Dwarf
You are learned in the secret lore of the forge, rituals handed down for generations that some say come from Torag himself. Whenever you use the Craft skill or a crafting feat to make a stone or metal item, you reduce the cost of making the item by 5%. This includes metal-headed weapons with nonmetal parts, such as axes and spears."
"
Hedge Magician
Source Ultimate Campaign pg. 57, Second Darkness Player's Guide pg. 13, Advanced Player's Guide pg. 329
Category Basic (Magic)
You apprenticed for a time to an artisan who often built magic items, and he taught you many handy shortcuts and cost-saving techniques. Whenever you craft a magic item, you reduce the required gp cost to make the item by 5%."
exemplar traits and additional traits allow it
though it is questionable rather the Trait discount stakes since they all come from traits
you will have to have a magic category exemplar trait (which takes 2 traits by itself) and then take extra traits twice.
kinda expensive for 25% total discount.
I rather go with the soul drinker free crafting all together.
or the fortunate + Droskar's Guiding Ring.
then again some people don't like to play N.Evil for some reason..
you only need one grab of additional traits, since you can just take a drawback
but if you take 2 you can get merchant family and duskwalker agent for a 10 discount in your home settlement and 20 to sales price in your home settlement, for a decent profit margine of 32,5 %
1 trait is also required to be from the AP. if I were the GM, I would require a trait that leads to a hook in my homebrew if I were doing homebrew.
yeah incompatible traits is a small issue for the build but most of the homebrew campaigns i have seen doesn't care as long as the flavor is equivalent
I don't think there is an official answer as to how to combine these percentages, but my guess is that you just add them.
Mathematically, the safer rule would be to separately multiply the value against each percentage change, but that's an awful lot of calculation. It's more math than Pathfinder usually requires you to do.
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The closest is the general rule on page 12 of the CRB. Which indicates that you would add. Not exactly referring to the same thing, but it's close enough.
Multiplying: When you are asked to apply more than one multiplier to a roll, the multipliers are not multiplied by one another. Instead, you combine them into a single multiplier, with each extra multiple adding 1 less than its value to the first multiple. For example, if you are asked to apply a ×2 multiplier twice, the result would be ×3, not ×4.
Incidentally, adding actually comes out in your favor in this case. If you were multiplying you would get less of a discount.
100 gp x .95 x .95 x .95 x .9 = 77.16 gp
This is what stores usually do IRL if they have a 30% off sale and you come in with a 20% off coupon. You end up paying 56% of the price, not 50%.
The general rule of thumb is that when doing multiple multiplications or divisions in pathfinder you take each of them by the base value then total it out…
In this case 100-((100x0.05)+(100x0.05)+(100x0.05)+(100x0.1)) = 100-35% which is the same as 5%+5%+5%+10%
If we compare this to the rule for crits and other x# multipliers this holds up. x2 = +100% so x2 + x2 = x3 (+200%)
So yes % are additive.
Another spot this comes up in is shadow illusions… there are multiple sources of effects that make them X% more real, all these % are added to the original % in the spell for the final result… which hilariously has the potential to result in 120% if you stack all of them together…