If M is 30% of Q, Q is 20% of P, and N is 50% of P, then (M)/(N)=

1995 AMC 12 Problem 4

Attempt Problem 4 of the 1995 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1995 AMC 12 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

M

30\%

Q,

Q

20\%

P,

and

N

50\%

P,

then

\frac{M}{N}=

\frac3{250}

\frac3{25}

1

\frac65

\frac43

Express both

M

and

N

as multiples of

P

Convert the percentages to fractions before forming

\frac{M}{N}

We have

M=(0.30)(0.20)P=0.06P

and

N=0.50P.

Hence

\frac{M}{N}=\frac{0.06}{0.50}=\frac{3}{25}.

Thus the correct answer is B.