If ₹ $782$ is divided into three parts proportional to $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$,then the first part is (in ₹):

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

The ratio of wine and water in a drum is $3:1$. What part of the mixture is taken out and replaced with an equal amount of water so that the ratio of wine and water in the mixture becomes $1:1$?

Two numbers are respectively $20 \%$ and $50 \%$ more than a third number. The ratio of the two numbers is

An amount of ₹ $1200$ is distributed among $A, B$ and $C$ in the ratio of $5: 7: 13$. What is the difference between the shares (in ₹) of $C$ and $B$?

Out of the number of qualified candidates from State $P$ in $2008,$ the respective ratio of male and female candidates is $11: 7.$ If the number of female qualified candidates from State $P$ in $2008$ is $126,$ what is the total number of qualified candidates (both male and female) from State $P$ in $2008?$