Question : If $3P=2Q$ and $2Q=3R$, then what is $P:Q:R$?
Option 1: $6:9:1$
Option 2: $2:3:2$
Option 3: $4:6:9$
Option 4: $4:6:1$
Correct Answer: $2:3:2$
Solution : As $3P=2Q$ and $2Q=3R$ $P=\frac{2Q}{3}$ and $R = \frac{2Q}{3}$ $\therefore P:Q:R = \frac{2Q}{3} : Q : \frac{2Q}{3}$ Required ratio = $2:3:2$ Hence, the correct answer is $2:3:2$.
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