In a bag,there are coins of $25 \ p$,$10 \ p$,and $5 \ p$ in the ratio of $1: 2: 3$. If there are $Rs. 30$ in all,how many $5 \ p$ coins are there?

Two numbers are in the ratio $3:5$. If $9$ is subtracted from each,they are in the ratio $12:23$. Find the smaller number.

If $Rs. 510$ is divided among $A, B, C$ in such a way that $A$ gets $\frac{2}{3}$ of what $B$ gets and $B$ gets $\frac{1}{4}$ of what $C$ gets,then their shares are respectively:

$P$ varies inversely with the product of $Q$ and $R$. When $Q = 6$ and $R = 12$,$P = 75$. When $Q = 5$ and $R = 10$,what is the value of $P$?

$A$ sum of $Rs. 86700$ is to be divided among $A, B$ and $C$ in such a manner that for every rupee that $A$ gets,$B$ gets $90$ paise and for every rupee that $B$ gets,$C$ gets $110$ paise. $B$'s share will be (in $Rs.$):

₹ $600$ is divided among $A, B$ and $C$. If $\frac{2}{5}$ of $A$'s share plus ₹ $40$,$\frac{2}{7}$ of $B$'s share plus ₹ $20$,and $\frac{9}{17}$ of $C$'s share plus ₹ $10$ are all equal,then what is $A$'s share in ₹?