The least whole number which,when subtracted from both the terms of the ratio $4:5$,gives a ratio equal to $3:4$ is:

The sum of three numbers is $124$. If the ratio between the first and second is $2:3$ and that between the second and third is $7:9$,then the third number is

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 $\text{kg}$).

₹ $1980$ is divided among $A, B$ and $C$ such that half of $A$'s part,one-third of $B$'s part,and one-sixth of $C$'s part are equal. Then $B$'s part is (in ₹):

In an army selection process,the ratio of selected to unselected candidates was $5:1$. If $100$ fewer candidates had applied and $20$ fewer had been selected,the ratio of selected to unselected candidates would have been $6:1$. How many candidates had applied for the process?