Problem: If MMM is 30%30 \%30% of Q,QQ, QQ,Q is 20%20 \%20% of PPP, and NNN is 50%50 \%50% of PPP, then MN=\dfrac{M}{N}=NM=
Answer Choices:
A. 3250\dfrac{3}{250}2503
B. 325\dfrac{3}{25}253
C. 111
D. 65\dfrac{6}{5}56
E. 43\dfrac{4}{3}34
Solution:
Since M=0.3Q=0.3(0.2P)=0.06PM=0.3 Q=0.3(0.2 P)=0.06 PM=0.3Q=0.3(0.2P)=0.06P and N=0.5PN=0.5 PN=0.5P, we have
MN=0.06P0.5P=650=325.\dfrac{M}{N}=\dfrac{0.06 P}{0.5 P}=\dfrac{6}{50}=\dfrac{3}{25} . NM=0.5P0.06P=506=253.