If $m : n = 3 : 2,$ then $(4m + 5n) : (4m - 5n)$ is equal to:

The ratio of boys and girls in a school is $9:5$. If the total number of students in the school is $1050$,then the number of boys is

An amount of $Rs. 735$ was divided between $A, B$ and $C$. If each of them had received $Rs. 25$ less,their shares would have been in the ratio of $1:3:2$. The money received by $C$ was

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 $Rs.$):

Annual incomes of Amit and Varun are in the ratio $3:2,$ while the ratio of their expenditures is $5:3.$ If at the end of the year each saves $Rs. 1000,$ the annual income of Amit is (in $Rs.$):

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: