Two numbers are in the ratio of $5: 7$. If $25$ is subtracted from each,they are in the ratio of $35: 59$. Find the difference of the two numbers.

The ratio of the number of boys to girls in an institution is $6:5$. If there are $192$ boys in total,find the total number of students in the institution.

$A$ man divides his property such that his son's share to his wife's share and his wife's share to his daughter's share are both in the ratio $3:1$. If the daughter gets ₹ $10,000$ less than the son,what is the total value of the property in ₹?

The ratio of the incomes of $A, B$ and $C$ is $3: 7: 4$ and the ratio of their expenditures is $4: 3: 5$. If in the income of $Rs. 2400$, $A$ saves $Rs. 300$, then the savings of $B$ and $C$ respectively are:

$A$ certain sum of money was divided between $A$,$B$,and $C$ in the ratio $5: 6: 9$. If $A$ received ₹ $450$,what was the total sum divided?

$A$ certain sum was divided among $P$ and $Q$ in the ratio $5:6$. If $Q$'s share was ₹ $2400$,the total sum was (in ₹):