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 $Q$?

The ratio of three numbers is $3:4:5$ and the sum of their squares is $1250$. The sum of the numbers is:

The electricity bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month $540$ units are consumed,the bill is $Rs. 1800$. In another month $620$ units are consumed and the bill is $Rs. 2040$. In yet another month $500$ units are consumed. The bill (in $Rs.$) for that month would be:

If $x$ runs are scored by $A$,$y$ runs by $B$,and $z$ runs by $C$,then $x: y = y: z = 3: 2$. If the total number of runs scored by $A$,$B$,and $C$ is $342$,the runs scored by each would be respectively:

The sum of two numbers is equal to $25$ and their difference is $20$. The ratio of the two numbers is

If $Rs. 510$ is divided among $A, B, C$ in such a way that $A$ gets $\frac{2}{3}$ of what $B$ gets and $B$ gets $\frac{1}{4}$ of what $C$ gets,then their shares are respectively: