Home Depot wants to buy a new line of fertilizers. Manufacturer A offers a 21/13 chain discount. Manufacturer B offers a 26/8 chain discount
Chain discount (a/b) means a% discount in original price plus b% discount in discounted price
Manufacturer A offers a 21/13 chain discount
Lets 100 be the original price
21% discount on original price , so discounted price = 100 -21= 79
13% discount on discounted price ,
so final price= 79 -(79*0.13)=$68.73
Manufacturer B offers a 26/8 chain discount
Lets 100 be the original price
26% discount on original price , so discounted price = 100 -26= 74
8% discount on discounted price ,
so final price = 79 -(79*0.13)=$68.08
The final price of Manufacturer B is less than Manufacturer A,
so Home Depot should buy from Manufacturer B