Before yesterday

The merchant adds a sale sign in his shop window to the shown pair of shoes in the morning: "Today by p% cheaper than yesterday. " After a while, however, he decided that the sign saying: "Today 62.5% cheaper than the day before yesterday". Determine the number p.

Correct answer:

p =  25 %

Step-by-step explanation:

x (12p/100) (1p/100) = x (1  62.5/100)  (12p/100) (1p/100) = 1  62.5/100  (1002p) (100p)=100 (10062.5)  (1002p) (100p)=100 (10062.5) 2p2300p+6250=0 2 ...  prime number 300=22352 6250=255 GCD(2,300,6250)=2  p2150p+3125=0  a=1;b=150;c=3125 D=b24ac=1502413125=10000 D>0  p1,2=2ab±D=2150±10000 p1,2=2150±100 p1,2=75±50 p1=125 p2=25  0<p<100  p=p2=25=25%

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