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?

At present,Anil is $1.5$ times Purvi's age. $8$ years hence,the respective ratio between Anil and Purvi's ages will be $25:18$. What is Purvi's present age (in years)?

₹ $1980$ is divided among $A$,$B$,and $C$ such that half of $A$'s part,one-third of $B$'s part,and one-sixth of $C$'s part are equal. What is $B$'s part (in ₹)?

Three vessels having volumes in the ratio of $2: 3: 5$ are full of a mixture of water and milk. In the first vessel,the ratio of water and milk is $1: 3$,in the second $2: 3$,and in the third vessel,$2: 5$. If all the three vessels are poured into a large container,what is the resulting ratio of milk and water?

If $18: x = x: 8$,then $x$ 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