The ratio of the incomes of $A$ and $B$ is $5:4$ and the ratio of their expenditures is $3:2$. If at the end of the year,each saves $Rs. 1600$,then the income of $A$ is (in $Rs.$):

Two numbers are in the ratio $5:3$. If $9$ is subtracted from each,the new ratio becomes $9:5$. What are the two numbers?

In an army selection process,the ratio of selected to unselected candidates was $4:1$. If $90$ less had applied and $20$ less were selected,the ratio of selected to unselected candidates would have been $5:1$. How many candidates had applied for the process?

An employer reduces the number of his employees in the ratio $9: 8$ and increases their wages in the ratio $14: 15$. If the original wage bill was ₹ $18,900$,find the ratio in which the wage bill is decreased.

Which of the following represents a correct proportion?

An amount of money is to be distributed among $P, Q$ and $R$ in the ratio of $2: 7: 9$. The total of $P$'s and $Q$'s share is equal to $R$'s share. What is the difference between the shares of $P$ and $Q$?