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

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 $B$?

The entry ticket price at a fun park was increased in the ratio $7:9$,due to which the number of visitors (footfalls) decreased in the ratio $13:11$. If the daily collection before the price hike was $₹ 2,27,500$,what is the new daily collection (in $₹$)?

$85 \, L$ of a mixture contains milk and water in the ratio $27: 7$. How much more water (in $L$) is to be added to get a new mixture containing milk and water in the ratio $3: 1$?

Two alloys contain zinc and copper in the ratio of $2:1$ and $4:1$. In what ratio should the two alloys be mixed to get a new alloy having zinc and copper in the ratio of $3:1$?

Three numbers are in the ratio $2:3:4$. If the sum of their squares is $1856$,then the numbers are: