Ratio & Proportion, Alligation or Mixture

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is

A Tk. 30,000 prize is to be divided among three employees in the ratio of 2 : 3 : 5. What is the value of the smallest share?

If A and B are in the ratio 3 : 4, and B and C are in the ratio 12 : 13. Then A and C will be in the ratio:

A and B together have taka 1,210. If 4/15 of A's amount is equal to 2/5 of B's amount. What is amount B has?

A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is :

A right triangle has sides in the ratio of 5 : 12 : 13. What is in the measure of the smallest angle in a right triangle, in degrees?

If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is :

If x/y = 5/3 then (8x - 5y) : (8x + 5y) =

In a class composed of x girls and y boys what part of the class is composed of girls?

729 ml of a mixture contains milk and water in ratio 7: 2. How much of the water is to be added to get a new mixture containing half milk and half water?

For any two numbers m, n ; (m + n ) : (m - n) : mn = 7 :1 : 60. Find the value of 1/m : 1/n =? 

If one star equals four circles and three circles equal four diamonds, then what is the ratio of star to diamond?

Tk 7,500 is divided in the ratio of 1 : 2 : 3 : 4 : 5. Find the difference between the greatest and smallest shares?

If 2 kg of metal, of which 1/3 is zinc and the rest is copper, be mixed with 3 kg of metal, of which 1/4 is zinc and the rest is copper, then what will be the ratio of zinc to copper in the mixture?