Ratio and Proportion

The comparison of two quantities in terms of ‘how many times’ is known as ratio. In a ratio a:b , first term is called Antecedent and second term is called Consequent.

Two quantities can be compared if and only if they have the same unit. The ratio a:b is different from the ratio b:a.

Two ratios are equivalent, if the fractions corresponding to them are equivalent.

A ratio a: b is generally expressed in the simplest form and is said to be in the simplest form if a and b have no common factor other than 1. A ratio in the simplest form is also called the Ratio in the lowest term.

Two ratios that are equivalent to each other are said to be in proportion. The terms a, b, c and d are said to be in proportion if the ratio of the first two is equal to the ratio of the last two, i.e., a : b = c : d

The first and the fourth term of a proportion are called extremes. The second and the third term of a proportion are called means. The method in which first the value of one unit is calculated and then the value of required number of units is calculated is known as Unitary Method.

Unitary method helps us to find the solution of some problem basically arithmetic problem easily.

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