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

$A$ and $B$ together have ₹ $6300$. If $\frac{5}{19}$ of $A$'s amount is equal to $\frac{2}{5}$ of $B$'s amount,then the amount of $B$ is (in ₹):

The ratio of the income to the expenditure of a family is $10:7$. If the family's expenses are $Rs. 10500$,then the savings of the family is (in $Rs.$):

The sides of a triangle are in the ratio $\frac{1}{2}: \frac{1}{3}: \frac{1}{4}$ and its perimeter is $104 \, cm$. The length of the longest side (in $cm$) is:

Three numbers are in the ratio $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$. The difference between the greatest and the smallest numbers is $36$. The numbers are:

If $(x+y):(x-y)=11:1$,find the value of $\frac{(5x+3y)}{(x-2y)}$.