$A$ certain amount was to be distributed among $A$,$B$,and $C$ in the ratio $2:3:4$,but was erroneously distributed in the ratio $7:2:5$. As a result of this,$B$ received ₹ $40$ less. What is the actual amount (in ₹)?

If $B: A = 2: 3$ and $A: C = 5: 7$,then what is $(A + B) : (B + C)$?

The ratio of the ages of the father and mother was $11: 10$ when their son was born. The ratio of the ages of the father and mother will be $19: 18$ when the son is twice his present age. What is the ratio of the present ages of the father and mother?

The number of students in three classes are in the ratio $2:3:4$. If $12$ students are increased in each class,this ratio changes to $8:11:14$. The total number of students in the three classes in the beginning was:

If $A: B = 3: 4$ and $B: C = 8: 9$,then find the value of $A: B: C$.

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