In a school there are total 414 students. The ratio of boys and girls is 5 : 4. If 46 more boys gets admitted into the school, then what will be the new ratio of boys and girls?

One number x is thrice the other number y. If the sum of both the numbers is 20, then what is the values of x and y are respectively ?

A person has some coins of ₹10, ₹5, and ₹2 denominations. The ratio of the products of the numbers of ₹10 and ₹5 coins, the numbers of ₹5 and ₹2 coins, and the numbers of ₹2 and ₹10 coins is 3: 4: 2 respectively. What could be the minimum amount of money this person has? 

What number must be subtracted from each of the numbers 55, 23, 43 and 19, so that the new values are in proportion? 

S is 20% more than T. T is 10% less than U. What is the ratio of S to ?

If 1,000 is divided into three parts in the ratio 2 : 3 : 5, find the value of the smallest part.

If P : Q = 4 : 5 and P : R =2 : 3, then what is 3P : 4Q : 5R?

In 80 litres mixture of milk and water the ratio of amount of milk to that of amount of water is 7: 3. In order to make this ratio 2: 1, how many litres of water should be added?