Respuesta :
Answer:
[tex] P_2 = (1-0.45) *0.6 P_o =0.55*0.60 P_o=0.33 P_o[/tex]
So the discount is 33% and we are paying 67% of the value. The reason is given by the relative change:
[tex] \% Change = \frac{|0.33P_o -P_o|}{P_o}*100 =67\%[/tex]
Step-by-step explanation:
First we have a first discount of 40% so then using this condition and assuming that [tex]P_o[/tex] represent the initial price, the price after the first discount [tex] P_1[/tex] is given by:
[tex] P_1 = (1-0.4) P_o =0.6P_o[/tex]
That means 60% of the original value.
Now we have another discount of 45% for the 60% reamining after a 2 discount so let's [tex]P_2[/tex] represent the price after the second disccount we can can express this price in terms of [tex] P_1[/tex] or [tex]P_o[/tex] liek this:
[tex] P_2 = (1-0.45) P_1=0.55 P_1[/tex]
[tex] P_2 = (1-0.45) *0.6 P_o =0.55*0.60 P_o=0.33 P_o[/tex]
So the discount is 33% and we are paying 67% of the value. The reason is given by the relative change:
[tex] \% Change = \frac{|0.33P_o -P_o|}{P_o}*100 =67\%[/tex]
