The ratio of incomes of $P$ and $Q$ is $3:4$ and the ratio of their expenditures is $2:3$. If at the end of the year,each saves ₹ $2000$,then the income of $P$ is (in ₹):

Find the third proportional to the numbers $4$ and $42$.

At present,Anil is $1.5$ times Purvi's age. $8$ years hence,the respective ratio between Anil and Purvi's ages will be $25:18$. What is Purvi's present age (in years)?

The incomes of $A, B$ and $C$ are in the ratio $7: 9: 12$ and their expenditures are in the ratio $8: 9: 15$. If $A$ saves one-fourth of his income,then the ratio of the savings of $A, B$ and $C$ is:

$A$ and $B$ earn in the ratio $2:1$. They spend in the ratio $5:3$ and save in the ratio $4:1$. If the total monthly savings of both $A$ and $B$ are ₹ $5,000$,the monthly income of $B$ is (in ₹): (in $,000$)

₹ $73,689$ are divided between $A$ and $B$ in the ratio $4:7$. What is the difference between thrice the share of $A$ and twice the share of $B$? (In ₹)