Understanding Ratio with Examples

In this class, We discuss Understanding Ratio with Examples.

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Ratio: The relationship between two groups or amounts

Example: The ratio of men to women in a class is 10: 1

For every ten men, one woman is present in the class.

The ratio is expressed as 10: 1 or 10/1

Expressed in quotients = 10/1

Equal quotients mean the same ratio.

10: 1 = 20:2 Multiply or divide the ratio values with any number that will not affect the ratio.

10/1 = 20/2 = 10 equal ratios same quotient.

Example 1:

Divide 672 grams in the ratio of 5:3

Solution:

5+3 = 8, so divide 672 grams into eight equal parts.

Five parts are given to one person, and three are given to another.

From mathematical equation

672 * 5/8 = 420 grams

672 * 3/8 = 252 grams

Example 2:

Divide Rs 1162 among A, B, and C in the ratio 35: 28: 20.

Solution:

35 + 28 + 20 = 83

A’s amount = 1162 * 35/83 = 490

B’s amount = 1162 * 28/83 = 392

C’s amount = 1162 * 20/83 = 280