AAA Company currently sells radios for $ 80 less 25 % . Their competitors are now selling the same product for $ 48 . AAA must offer an additional discount of _____ in order to meet their competitor's price. A single discount of _____ will give the same net price.

Question

AAA Company currently sells radios for $ 80 less 25 % .  Their competitors are now selling the same product for $ 48 .  AAA must offer an additional discount of _____ in order to meet their competitor's price.  A single discount of _____ will give the same net price.   
 (a)   10.00 % ; 60.00 %  (b)   20.00 % ; 40.00 %
 (c)   10.00 % ; 40.00 %  (d)   20.00 % ; 60.00 %

I am not asking for the answer i just need help to figure out how to get to the answer like is there some sort of formula to figure it out or what strategy can i use to figure it out please help me.

Reiny · Answer

addition discount x % .75(80)(1-x) = 48 60 - 60x = 48 -60x = -12 x = -12/-60 = .20 They have to offer another 2-% check: (.75)(.8)(80) =48