Two numbers are in the ratio $3: 5$. If each number is increased by $10$,the ratio becomes $5: 7$. The numbers are:

Find the third proportional to the numbers $4$ and $42$.

The income of $A, B$ and $C$ are in the ratio $7: 9: 12$ and their spendings are in the ratio $8: 9: 15$. If $A$ saves $\frac{1}{4}$th of his income,then the savings of $A, B$ and $C$ are in the ratio of:

The salaries of $A, B, C$ are in the ratio $2:3:5$. If increments of $15\%$,$10\%$,and $20\%$ are allowed respectively in their salaries,then what will be the new ratio of their salaries?

If $6 A = 4 B = 9 C$,what is $A : B : C$?

$A$ and $B$ together have ₹ $1210$. If $\frac{4}{15}$ of $A$'s amount is equal to $\frac{2}{5}$ of $B$'s amount,how much amount (in ₹) does $B$ have?