If $Rs. 782$ is divided into three parts proportional to $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$,then the first part is (in $Rs.$):

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

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

The price of a diamond is directly proportional to the square of its weight. $A$ man accidentally broke the diamond into three pieces in the ratio of $3:5:7$ and thus lost ₹ $42600$. What was the original price (in ₹) of the diamond?

In a bag,there are coins of $25 \ p$,$10 \ p$,and $5 \ p$ in the ratio of $1: 2: 3$. If there are $Rs. 30$ in all,how many $5 \ p$ coins are there?

The mean proportional of $0.25$ and $0.04$ is