The ratio of incomes of $P$ and $Q$ is $3:4$ and the ratio of their expenditures is $2:3$. If both of them save $Rs. 6000$,the total income of $P$ is (in $Rs.$):

$A$ 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 $\text{L}$).

$A$ sum of money is to be distributed among $A, B, C, D$ in the proportion of $5: 2: 4: 3$. If $C$ gets $Rs. 1000$ more than $D$,what is $B$'s share (in $Rs.$)?

$Rs. 2186$ is distributed among $A$,$B$,and $C$. If the money given to them is decreased by $Rs. 26$,$Rs. 28$,and $Rs. 32$ respectively,then the ratio of their shares becomes $9: 13: 8$. What is the amount (in $Rs.$) given to $A$?

The number of students in three classes are in the ratio $2:3:4$. If $12$ students are increased in each class,this ratio changes to $8:11:14$. The total number of students in the three classes in the beginning was:

If $B: A = 2: 3$ and $A: C = 5: 7$,then what is $(A + B) : (B + C)$?