Two numbers are in the ratio $3: 5$. If $9$ is subtracted from each,then the new numbers are in the ratio $12: 23$. The smaller number is:

If $33 \%$ of $A$ is equal to $55 \%$ of $B$,then find the ratio of $A$ and $B$.

The ratio between the present ages of $P$ and $Q$ is $5:7$ respectively. If the difference between $Q$'s present age and $P$'s age after $6$ years is $2$,what is the total of $P$'s and $Q$'s present ages (in years)?

What will be $32 \%$ of $(\frac{3}{8})^{th}$ of $1000$?

Three numbers $A, B$ and $C$ are in the ratio of $12: 15: 25$. If the sum of these numbers is $312$,find the ratio between the difference of $B$ and $A$ and the difference of $C$ and $B$.

If $P: Q = 8: 15$ and $Q: R = 3: 2$,then find $P: Q: R$.