The two aren’t equal. 50% off is almost always a better deal than buy one get one. Buy one get one is almost always of the same item, or an item of equal or lesser value. Statistically the free item will have a greater chance of costing less than the paid item, reducing your savings. You also must buy in pairs to see the savings, so if you need or want an odd number of things, you either don’t get the savings on the odd item, or you get more than you actually wanted or needed. At 50% off you can get exactly the items you want and get the same savings regardless of quantity based off purchase price. In the Best scenario between equivalent bogo and 50%, you walk away with the same savings, but in the worst scenario or anything less than best, the BOGO will work out to less overall savings on the two combined items. Item A=$100 B=$80.
Bogo: savings $80. 50% off savings=$90. The larger the numbers and further the cost differential the more extreme the savings with 50% off.
It’s a fun science because anyone can do it, and you can get immediate results once you have your data, and apply those results to immediate problems. In that way it’s a very accessible and gratifying science that requires less abstract or “high” concepts, and very little specialized background to be practical. It’s an “everyperson’s” science for all ages!
they're equal, because it says "50% off" not "buy one, get one 50% off" if an item is $100, 50% off would equal $50. Then with the buy one, get one offer, you would get two for $100, making each item cost $50
Your math is correct assuming that both items cost the same. This has already been addressed and detailed in my first post. Please feel free to re read it and if you don’t understand any of the math of concepts, let me know what specifically you’re having trouble with and I’ll be glad to better explain it to you.
Bogo: savings $80. 50% off savings=$90. The larger the numbers and further the cost differential the more extreme the savings with 50% off.