Before yesterday

He merchant adds a sale sign in his shop window to the showed 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 result:

p =  25 %

Solution:

x (12p/100) (1p/100)=x (162.5/100)  (12p/100) (1p/100)=162.5/100  (1002p)(100p)=100(10062.5)  (1002p) (100p)=100 (10062.5) 2p2300p+6250=0  a=2;b=300;c=6250 D=b24ac=3002426250=40000 D>0  p1,2=b±D2a=300±400004 p1,2=300±2004 p1,2=75±50 p1=125 p2=25   Factored form of the equation:  2(p125)(p25)=0  0<p<100  p=p2=25=25%

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