When wheat is ₹ $13$ per $kg$,$75$ men can be fed for $15$ $days$ at a certain cost. How many men can be fed for $45$ $days$ at the same cost,when wheat is ₹ $1$ per $kg$?

$A$ person's present age is two-fifth of the age of his mother. After $8$ years,he will be one-half of the age of his mother. How old is the mother at present (in $years$)?

Two numbers are respectively $20 \%$ and $50 \%$ more than a third number. The ratio of the two numbers is

If $A$ and $B$ are in the ratio $3: 4$ and $B$ and $C$ are in the ratio $12: 13$,then $A$ and $C$ will be in the ratio:

If $A: B = \frac{1}{2}: \frac{3}{8}$,$B: C = \frac{1}{3}: \frac{5}{9}$ and $C: D = \frac{5}{6}: \frac{3}{4}$,then the ratio $A: B: C: D$ is

$Rs. 5625$ 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 $Rs.$).