## Ratio

**Ratio**is a relation between two quantities or numbers. A ratio of

**a**and

**b**is denoted by

**a:b**

## Proportion

**Proportion**is a statement that two ratios are equal. When two ratios are equal, the four terms involved, taken in order are called proportional, and they are said to be in proportion. a/b = c/d

**Continued Proportion**

Three quantities are said to be in continued proportion, if the ratio of the first to the second is same as the ratio of the second to the third. a/b = b/c; b is called mean proportion.

**Compounded Ratio**of two ratios a/b and c/d is ac/bd or ac : bd.

**Invertendo:**If a : b :: c : d then b : a :: d : c

**Alternendo:**If a : b :: c : d then a : c :: b : d

**Componendo:**If a : b :: c : d then (a +b) : b :: (c +d) : d

**Dividendo:**If a : b :: c : d then (a - b) : b :: (c - d) : d

**Componendo and Dividendo:**If a : b :: c : d then (a +b) : (a - b) :: (c +d) : (c - d)

Here is an introduction to Ratio and Proportion. You can subscribe to our Youtube channel for more videos and short-cut techniques

How do we apply all the concepts of Ratio and proportion to the problems. Here are some of the short-cut and easy way to do problems from Ratio and Proportion.

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