The compounded ratio of $(2: 5)$,$(6: 11)$,and $(11: 3)$ is

In two alloys,gold and silver are in the ratios of $4:1$ and $1:3$. After alloying together $10 \text{ kg}$ of the first alloy,$16 \text{ kg}$ of the second,and several kilograms of pure gold,an alloy was obtained in which the ratio of gold to silver was $3:2$. Find the weight of the new alloy (in $\text{kg}$).

Three brothers divided ₹ $1620$ among themselves in such a way that the share of the second brother is equal to $\frac{5}{13}$ of the share of the other two combined. What is the share of the second brother?

What will be $32 \%$ of $(\frac{3}{8})^{th}$ of $1000$?

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

$A$ sum of ₹ $1,300$ is divided amongst $P, Q, R$ and $S$ such that $\frac{P \text{'s share}}{Q \text{'s share}} = \frac{Q \text{'s share}}{R \text{'s share}} = \frac{R \text{'s share}}{S \text{'s share}} = \frac{2}{3}$. Then $P$'s share is (in ₹):