There are a couple of ways you can go at this. One way is to look at the price multipliers. For a markdown of d, the price is multiplied by 1-d. For a markup of u, the price is multiplied by 1+u. Your original price is multiplied by ... 35% markdown: (1 - 0.35) = 0.65 25% markdown: (1 - 0.25) = 0.75 18% markup: (1 + 0.18) = 1.18 15% markdown: (1 - 0.15) = 0.85
The product of all these multipliers is 0.65×0.75×1.18×0.85 = 0.4889625
As you note, $5600×0.4889625 = $2738.19.
Since this multiplier is 1-d, we can find d as 1 - d = 0.4889625 d = 1 - 0.4889625 = 0.5110375 The markdown percentage is this number times 100%: markdown% ≈ 51.1%
_____ Alternatively, you can work with your final value to find the percentage change from the original. percent change = ((final value) - (original value))/(original value) × 100% = (2738.19 - 5600)/5600 × 100% = -2861.81/5600 × 100% = -0.5110375 × 100% . . . . . . . this should look familiar percent change ≈ -51.1%
When the change is negative, it is a markdown (not a markup). The markdown is 51.1%.
