The ratio of the income to the expenditure of a family is $10:7$. If the family's expenses are $Rs. 10500$,then the savings of the family is (in $Rs.$):

$A$ and $B$ have their monthly incomes in the ratio $8: 5,$ while their monthly expenditures are in the ratio $5: 3.$ If they save ₹ $12,000$ and ₹ $10,000$ monthly respectively,then the difference in their monthly incomes is (in ₹): (in $,000$)

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 $33 \%$ of $A$ is equal to $55 \%$ of $B$,then find the ratio of $A$ and $B$.

The ratio of students in school $A, B$ and $C$ is $5: 4: 7$ respectively. If the number of students in schools are increased by $20\%$,$25\%$ and $20\%$ respectively,then what will be the new ratio of students in school $A, B$ and $C$?

If $x$ runs are scored by $A$,$y$ runs by $B$,and $z$ runs by $C$,then $x: y = y: z = 3: 2$. If the total number of runs scored by $A$,$B$,and $C$ is $342$,the runs scored by each would be respectively: