Two numbers are in the ratio of $5: 8$. If $12$ is added to each,they are in the ratio of $3: 4$. Find the sum of the two numbers.

If $m : n = 3 : 2,$ then $(4m + 5n) : (4m - 5n)$ is equal to:

$A$ certain sum of money was divided between $A$,$B$,and $C$ in the ratio $5: 6: 9$. If $A$ received ₹ $450$,what was the total sum divided?

The annual incomes and expenditures of a man and his wife are in the ratios of $5: 3$ and $3: 1$,respectively. If they decide to save equally and find a balance of ₹ $4000$ at the end of the year (total savings),their incomes were:

₹ $864$ is divided among $A, B$ and $C$ such that $8$ times $A$'s share is equal to $12$ times $B$'s share and also equal to $6$ times $C$'s share. How much (in ₹) did $B$ get?

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