Three numbers are in the ratio $2:5:7$. The sum of the smallest and largest numbers equals the sum of the second number and $16$. What is the smallest number?

Amit,Sumit and Puneet share an amount of ₹ $660$ in the ratio of $3: 4: 5$. What is the share of Puneet (in ₹)?

Find the value of $x$ in the following proportion: $27: 72 :: x: 8$

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?

An employer reduces the number of his employees in the ratio $9:7$ and increases their wages in the ratio $14:15$. Find the ratio in which the total bill of wages increases or decreases.

The ratio of the numbers of boys and girls of a school with $504$ students is $13: 11$. What will be the new ratio if $12$ more girls are admitted?