₹ $11,550$ has to be divided between $X$,$Y$,and $Z$ such that $X$ gets $\frac{4}{5}$ of what $Y$ gets and $Y$ gets $\frac{2}{3}$ of what $Z$ gets. How much more does $Z$ get over $X$ (in ₹)?

There are three sections $A, B$ and $C$ in a school of class $I$. The ratio of students in sections $A$ and $B$ is $3:5$ and that in $B$ and $C$ is $4:7$. If the total number of students in the class is $201$,then the number of students in section $A$ is:

$A$ 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 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.

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 $Q$?

The ratio between the present ages of Indira and Lizzy is $3:8$,respectively. After $8 \text{ yr}$,Indira's age will be $20 \text{ yr}$. What was Lizzy's age $5 \text{ yr}$ ago (in $\text{yr}$)?