Ratio and Proportion Questions for IBPS and SSC Examsminations. Dear Mockbankers
Ratio and Proportion Questions for IBPS and SSC Exams
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Step 2: Read the concepts that follow.
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Basic Concepts
Ratio is a fraction of two values. It can be represented in any of the following ways:
=> x/y, x : y , x÷y
 In ratio of the form x : y, x is called as the antecedent/first term and y is the consequent/second term.
 Generally, ratio is a handy way to compare two terms.
 For example : 4 / π > 1 , it is clear that 4 > π
 One thing that has to be remembered while comparing two numbers in a ratio is that they should be represented in same units. For example, if x is in meters and y in litres they cannot be compared by using ratio as they are expressed in different units – meters vs litres.
A proportion is the equality of two ratios/ fractions.
 If x : y = a : b, it can be written as x : y :: a : b and it is said that x, y, a, b are in proportion.
 Here x and b are called extremes, while y and a are called mean terms.
 Product of means=Product of extremes
Thus,
x :y :: a : b => (y∗a)=(x∗b)  If x : y=a : b
b is called the fourth proportional to x, y and a.
a is called the third proportional to x and y.
 Subduplicate: Subduplicate ratio of (a:b) is (a^1/2: b^1/2)
 Duplicate ratio of (a:b) is (a^2:b^2)
 Triplicate Ratio:Triplicate ratio of (a:b) is (a^3:b^3)
 Subtriplicate Ratio: Subtriplicate ratio of (a:b) is (a^1/3:b^1/3)
 If a/b=c/d then, a+b/a−b=c+d/c−d This is known as Componendo and Dividendo.
 We say that x is directly proportional to y, if x=ky for some constant k and we write, x∝y
 We say that x is inversely proportional to y, if xy=k for some constant k and we write, x∝1y



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