$A$ box contains $210$ coins of denominations $Rs. 1$ and $50$ paise. The ratio of their respective values is $13: 11$. The number of $Rs. 1$ coins is:

Find the value of $x$ in the following proportion: $27: 72 :: x: 8$

If $P: Q = 8: 15$,$Q: R = 5: 8$,and $R: S = 4: 5$,then $P: S$ is equal to

The ratio of the number of boys and girls in a college is $7:8$. If the percentage increase in the number of boys and girls is $20\%$ and $10\%$ respectively,what will be the new ratio?

$Rs. 5625$ are divided among $A, B$ and $C$ such that $A$ receives half as much as $B$ and $C$ together,and $B$ receives one-fourth as much as $A$ and $C$ together. Find the sum of $A$'s and $B$'s share together (in $Rs.$).

The ratio of the sum of two numbers and their difference is $5:1$. The ratio of the greater number to the smaller number is