When we compare the relationship between two numbers dealing with a kind, then we use the ratio formula. It is denoted as aÂ separation between the number with a colon (:). Sometimes a division sign is also used to express ratios.

For example, we are making a cake, then the recipe sometimes says to mix flour to water in the ratio 2 part 1. That means if you using 2 cups of flour then mix it with 1 cup of water.

Both the numbers should be non-zero in order to make a meaning out of the comparison. Some ratios are denoted in percentages and decimals as well.

The ratio formula is

\[\large a:b\Rightarrow \frac{a}{b}\]

### Solved example

**Question:** A and B went into partnership and started a business. They agreed to dived the profit in the ratio of 2 : 4. What is their part of profit at the end of the financial year, if they made Rs. 10,000 in profits?

**Solution:**

The ratio in which the profit to be divided is = $\frac{4}{5}$

The profit for each of them:

A = 10000 xÂ $\frac{2}{6}$Â = Rs. 3333.33

B = 10000 X $\frac{4}{6}$= Rs. 6666.67

More topics inÂ Ratio Formula | |

Proportion Formula | Ratio Analysis Formula |