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 $Q$?

The railway fares of air-conditioned sleeper class and ordinary sleeper class are in the ratio $4:1$. The number of passengers who travelled by air-conditioned sleeper and ordinary sleeper classes were in the ratio $3:25$. If the total collection was ₹ $37,000$,how much did air-conditioned sleeper passengers pay (in ₹) (in $,000$)?

Find the third proportional to the numbers $4$ and $42$.

How many one-rupee coins,$50$-paise coins,and $25$-paise coins,whose numbers are in the ratio $5:7:12$,are together worth $₹ 115$?

If $A : B = 7 : 9$ and $B : C = 8 : 11,$ find $A : B : C$.

The incomes of $A$ and $B$ are in the ratio $3:2$ and their expenditures are in the ratio $5:3$. If each saves ₹ $1000$,then $A$'s income is (in ₹):