a) 2 : 1 : 3
b) 1 : 2 : 3
c) 2 : 3 : 1
d) 3 : 2 : 1
Answer: a
Explanation:
$$\eqalign{
& {\text{Here}}\,{{\text{p}}_1}:{{\text{p}}_2}:{{\text{p}}_3} = 5:3:12 \cr
& {\text{and}}\,{{\text{x}}_1}:{{\text{x}}_2}:{{\text{x}}_3} = 5:6:8 \cr
& {\text{Required}}\,{\text{ratio}} \cr
& = \frac{{{{\text{p}}_1}}}{{{{\text{x}}_1}}}:\frac{{{{\text{p}}_2}}}{{{{\text{x}}_2}}}:\frac{{{{\text{p}}_3}}}{{{{\text{x}}_3}}} \cr
& = \frac{5}{5}:\frac{3}{6}:\frac{{12}}{8} \cr
& = 1:\frac{1}{2}:\frac{3}{2} \cr
& = 2:1:3 \cr} $$
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