Two numbers are in the ratio of $5:6$. If $5$ is subtracted from each number,the ratio becomes $4:5$. The numbers are:

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 $Rs.$):

Divide ₹ $1,000$ among $P, Q,$ and $R$ such that $P$ gets $\frac{2}{3}$ of $Q$'s share and $R$ gets $\frac{5}{3}$ of $Q$'s share. What is the share of $Q$?

When $X$ is subtracted from the numbers $9, 15$ and $27$,the remainders are in continued proportion. What is the value of $X$?

If $A$ and $B$ are in the ratio $4:5$ and the difference of their squares is $81,$ what is the value of $A?$

$A$ 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 $,000$)