Three numbers are in the ratio $5:6:7$. If the product of the numbers is $5670$,then the greatest number is:

The ratio of boys and girls in a school is $9:5$. If the total number of students in the school is $1050$,then the number of boys is

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 $2008?$

If $33 \%$ of $A$ is equal to $55 \%$ of $B$,then find the ratio of $A$ and $B$.

$A$ mixture of milk and water is kept in two separate containers. The ratio of milk to water in one container is $5:1$ and in the other container is $7:2$. In what ratio should the mixtures from these two containers be mixed so that the quantity of milk in the new mixture becomes $80\%$?

$A, B$ and $C$ received an amount of ₹ $8400$ and distributed it among themselves in the ratio of $6: 8: 7$ respectively. If they save in the ratio of $3: 2: 4$ respectively and $B$ saves ₹ $400$,then what is the ratio of the expenditures of $A, B$ and $C$ respectively?