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 fourth proportional to $0.2, 0.12$ and $0.3$ is

The sides of a triangle are in the ratio $1/2 : 1/3 : 1/4$ and its perimeter is $156 \text{ cm}$. The length of the largest side is (in $\text{cm}$):

Two candles of the same height are lighted at the same time. The first is consumed in $8 \text{ hours}$ and the second in $6 \text{ hours}$. Assuming that each candle burns at a constant rate,in how many hours after being lighted,the ratio between the height of the first and second candles becomes $2:1$?

Two numbers are in the ratio $2:3$. If $2$ is subtracted from the first and $2$ is added to the second,the ratio becomes $1:2$. The sum of the numbers is:

An amount of money is to be distributed among $P, Q$ and $R$ in the ratio of $2: 7: 9$. The total of $P$'s and $Q$'s share is equal to $R$'s share. What is the difference between the shares of $P$ and $Q$?