Three numbers $A, B$ and $C$ are in the ratio $12: 15: 25$. If the sum of these numbers is $364$,find the ratio between the difference of $B$ and $A$ and the difference of $C$ and $B$.

Find the fraction which bears the same ratio to $\frac{1}{27}$ that $\frac{3}{7}$ does to $\frac{5}{9}$.

$A$ mixture contains alcohol and water in the ratio $4:3$. If $5 \text{ liters}$ of water is added to the mixture,the ratio becomes $4:5$. Find the quantity of alcohol in the given mixture (in $\text{L}$).

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

Arti has coins of the denomination of $Rs. 1$,$50 \text{ paise}$,and $25 \text{ paise}$ in the ratio of $12: 10: 7$. The total worth of the coins she has is $Rs. 75$. Find the number of $25 \text{ paise}$ coins.

$A$ and $B$ have their monthly incomes in the ratio $8: 5,$ while their monthly expenditures are in the ratio $5: 3.$ If they save ₹ $12,000$ and ₹ $10,000$ monthly respectively,then the difference in their monthly incomes is (in ₹): (in $,000$)