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

₹ $1980$ 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. What is $B$'s part (in ₹)?

There are three sections $A, B$ and $C$ in a school of class $I$. The ratio of students in sections $A$ and $B$ is $3:5$ and that in $B$ and $C$ is $4:7$. If the total number of students in the class is $201$,then the number of students in section $A$ is:

$A$'s income is ₹ $140$ more than $B$'s income and $C$'s income is ₹ $80$ more than $D$'s. If the ratio of $A$'s and $C$'s incomes is $2:3$ and the ratio of $B$'s and $D$'s incomes is $1:2$,then the incomes of $A, B, C$ and $D$ are respectively (in ₹):

$Rs. 5625$ 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 $Rs.$).

If a number is reduced by $40 \%$ it becomes two-thirds of another number. What is the ratio of the second number to the first number?