Question

Q as a percentage of p is equal to p as a percentage of (p + q). Find q as a percentage of p? Select one:
a. 65 percent
b. 50 percent
c. 62 percent
d. None of these

Answer 1

Answer:A=62%

Step-by-step explanation:

Given that Q/P=P/P+Q.... equation 1

Since Q can be written as a certain percentage of P we can assume that Q=KP

Therefore KP/P=P/KP

K=1/1+K

=K(k+1)=1.... equation 2

Q as a percentage of P=Q/P=100

KP/P=100=100k% ..... equation 3

K(K+1=1

K^2+k-1=0

K=-b+or-√b^2-4ac/2a

=-1+or-√1^2[4*1*(-1)]/2*1

=-1+or-√5/2

=-1+2.2/2=1.24/2

=0.62

From equation 3,Q as percentage of P

=100k%

=100*0.62

=62%