Ratio and Proportion Questions for IBPS and SSC Exams

Ratio and Proportion Questions for IBPS and SSC Exams

Ratio and Proportion Questions for IBPS and SSC Examsminations. Dear Mockbankers

Ratio and Proportion Questions for IBPS and SSC Exams

Step 1: Watch the video prepared by MockBank’s expert.

Step 2: Read the concepts that follow.

Step 3: Put a timer before you solve the previous year questions on decimal and fraction in quiz and record how much time it takes you to solve it.

Step 4: Send us questions in comments section below which took maximum time and we will tell you a faster way to solve it.

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
    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.

  • Sub-duplicate: Sub-duplicate 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)
  • Sub-triplicate Ratio: Sub-triplicate 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
1. If 5x2 – 13xy + 6y2 = 0, then x : y is :

Question 1 of 10

2. Let x/5 = y/8 = k. Then x = 5k and y = 8k.
so x+5/y+8 = 5k+5/8k+8 = 5(k+1)/8(k+1) = 5/8 => (x+5) : (y+8) = 5:8.

Question 2 of 10

3. If A : B = 3 : 4 and B : C = 8 : 9, then A : C is:

Question 3 of 10

4. If a/3 = b/4 = c/7, then a+b+c/c is equal to:

Question 4 of 10

5. If (a+b) : (b+c) : (c+a) = 6 : 7 : 8 and (a+b+c) = 14, then the value of c is:

Question 5 of 10

6. The salaries of A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, than what will be the new ratio of their salaries?

Question 6 of 10

7. If Rs.782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4, then the first part is :

Question 7 of 10

8. If 76 is divided into four parts proportional to 7, 5, 3, 4 then the smallest part is:


Question 8 of 10

9. Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:



Question 9 of 10

10. Two number are in the ratio 1 : 2. If 7 is added to both, their ratio changes to 3 : 5. The greatest number is:

Question 10 of 10


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Fast Track Objective Arithmetic

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Friends this is it for Quantitative Aptitude Preparation. If you have any queries/questions regarding Best Books for any Section, Feel free to ask them in the comments section below. And we will be glad to answer them for you.


  • Ajay Khurana

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