$A$ certain sum was divided among $P$ and $Q$ in the ratio $5:6$. If $Q$'s share was ₹ $2400$,the total sum was (in ₹):

The ratio of two numbers is $3:4$ and their sum is $420$. The greater of the two numbers is

$A, B, C$ and $D$ purchase a gift worth $Rs. 60$. $A$ pays $\frac{1}{2}$ of what others are paying,$B$ pays $\frac{1}{3}$ of what others are paying,and $C$ pays $\frac{1}{4}$ of what others are paying. What is the amount paid by $D$?

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 $Rs.$):

The ratio of the number of boys and girls in a college is $7:8$. If the percentage increase in the number of boys and girls is $20\%$ and $10\%$ respectively,what will be the new ratio?

Two numbers are in the ratio of $4:9$. If the larger number is $35$ more than the smaller number,then the product of the numbers is