# Comparison of Quantity: Concepts, Solved Examples, & Preparation Strategies

Comparison of Quantity is one of the most important sections where many candidates have doubt as they are based on calculation and most of the questions are numerical and analytical based. Understanding all the concepts are necessary to solve the questions based on this section.

In this article, we are going to cover the key concepts of the comparison of quantity along with the various types of questions, important formulas along with various tips and tricks. We have also added a few solved examples, which candidates will find beneficial in their exam preparation. Read the article thoroughly to clear all the doubts regarding the same.

**Definition of Comparison of Quantity **

In these types of questions we calculate the value of quantities using our mathematical knowledge and then compare the quantities. Let us understand different types of Comparison of Quantity based questions one by one from below.

**Types of Questions from Comparison of Quantity **

Types of questions from comparison of quantity are as follows.

- When one quantity has numerical value
- Quadratic Equation based questions
- When two quantities of same topic
- When two quantities of different topic
- Based on three quantities

Learn about Tabulation

**Tips**** to Solve Comparison of Quantities Questions **

Candidates can find different tips and tricks from below for solving the questions related to Comparison of Quantity.

**Tip # 1: **Comparison of Quantity based questions requires proper attention to solve the question and draw the final conclusion from it.

**Tip # 2:** Comparison of Quantity may ask to compare two or more quantities.

When you’ve finished with Comparison of Quantity, you can read about Data Interpretation concepts in depth here!

**Comparison of Quantity Questions for Competitive Exams**

**Question 1: **Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.

Quantity A: A group of 40 persons having boys and girls is further divided into two different groups, group A and group B. The number of boys in both groups is equal. The number of girls in group A is 8 and the total number of people in group B is 2 more than that of group A. Find the number of girls in group B.

Quantity B: 16

**Solution**:

Quantity A

Let the number of boys in group A be b and number of girls in group B be g

Hence, number of boys in group B = b Group A : Group B

b + 8 : b + g According to question b + g – (b + 8) = 2

⇒ b + g – b – 8 = 2

⇒ g – 8 = 2

Hence, g = 10

Hence, number of girls in group B = 10

Quantity B 16

Hence, Quantity A < Quantity B

**Question 2: **Given below are two algebraic equations named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.

**Quantity A: ** \(x^2 – 7x + 12 = 0\)

**Quantity B:** \(y^2 – 13y + 42 = 0\)

**Solution**:

**Quantity A:** \(x^2 – 7x + 12 = 0\)

⇒ \(x^2 – 4x – 3x + 12 = 0\)

⇒ x(x – 4) – 3(x – 4) = 0

⇒ (x – 4)(x – 3) = 0

⇒ x = 4 or x = 3

**Quantity B:** \(y^2 – 13y + 42 = 0\)

⇒ \(y^2 – 6y – 7y + 42 = 0\)

⇒ y(y – 6) -7(y – 6) = 0

⇒ (y – 7)(y – 6) = 0

⇒ y = 7 or y = 6 hence, x < y.

**Question 3:** In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option.

**Quantity A:** A shopkeeper allows a discount of 10% on an article and still earns 20%. If the Marked price of an Article is Rs. 12000. Find the Cost price.

**Quantity B:** After selling an article for Rs. 10800, A shopkeeper earns a profit of 12.5%. Find the cost price of the article.

**Solution**:

**Quantity A:**

According to the question: MP × 90/100 = CP × 120/100

⇒ 3 × MP = 4 × CP

⇒ 3 × 12000 = 4 × CP

⇒ CP = Rs.9000

**Quantity B:**

CP = 10800 x 100/112.5

⇒ CP = Rs.9600

Hence, Quantity A < Quantity B

**Question 4: **Given below are quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of mathematics to choose among the possible answers.

**Quantity A:** Gopal and Krishna started a partnership business. Gopal invested 40% of the capital for 15 months and Krishna got 400/9% of the profit. Find the time for which Krishna invested.

**Quantity B:** 50% of a number is added to the number and the resultant is multiplied by 100 then the result comes out to be 1200. Find the numerical value of the number.

**Solution: **

**Quantity A:**

Let Krishna invest his capital for the x months.

Ratio of the investment of Gopal and Krishna = 40 × 15 : 60 × x = 10 : x

Ratio of the profit of Gopal and Krishna = (100 – 400/9 : 400/9) = 500/9 : 400/9 = 5 : 4 Ratio of the investment is equal to the ratio of profit so,

⇒ 10/x = 5 : 4

⇒ x = 8

Krishna invested his capital for the 8 months.

**Quantity B:**

Let the number be x then,

⇒ (x + 50/100x) × 100 = 1200

⇒ x = 8

Hence, Quantity A = Quantity B

**Question 5:** Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities.

A sum of Rs. 8000 is divided between X, Y and Z, such that the average share of X and Y is Rs. 200 more than that of Y and Z, while the average share of X and Z is Rs. 125 less than that of X and Y.

**Quantity A: **What is the average share of X and Y?

**Quantity B: **What is the average share of X and Z?

**Quantity C:** What is the average share of Y and Z?

**Solution: **Let the share of X, Y and Z be Rs. ‘x’, Rs. ‘y’ and Rs. ‘z’ respectively

⇒ x + y + z = 8000——— (1)

Average share of X & Y = 200 + Average share of Y & Z

⇒ (x + y)/2 = 200 + (y+ z)/2

⇒ x + y = 400 + y + z

⇒ x = 400 + z——— (2)

Also, average share of X & Z = Average share of X & Y – 125

⇒ (x + z)/2 = (x + y)/2 – 125

⇒ x + z = x + y – 250

⇒ y = z + 250——— (3)

Substituting (2) and (3) in (1),

⇒ 400 + z + z + 250 + z = 8000

⇒ z = 7350/3 = Rs. 2450

⇒ x = 2450 + 400 = Rs. 2850

⇒ y = 2450 + 250 = Rs. 2700

Solving for Quantity A:

⇒ Quantity A = (x + y)/2 = (2850 + 2700)/2 = Rs. 2775 Solving for Quantity B:

⇒ Quantity B = (x + z)/2 = (2850 + 2450)/2 = Rs. 2650 Solving for Quantity C:

⇒ Quantity C = (y + z)/2 = (2700 + 2450)/2 = Rs. 2575

Hence, Quantity A > Quantity B > Quantity C

Once you’ve mastered comparison of quantity, Also, learn more about Data Sufficiency concepts in depth!

## Exams where Comparison of Quantities is Part of Syllabus

Questions based on comparison of quantity come up often in various prestigious government exams some of them are as follows

- SBI PO, SBI Clerk, IBPS PO, IBPS Clerk
- SSC CGL, SSC CHSL, SSC MTS
- LIC AAO, LIC ADO
- RRB NTPC, RRB ALP
- UPSC
- MPSC
- KPSC
- BPSC
- WBPSC
- Other State Level Recruitment Examinations

We hope you found this article regarding comparison of quantity was informative and helpful, and please do not hesitate to contact us for any doubts or queries regarding the same. You can also download the Testbook App, which is absolutely free and start preparing for any government competitive examination by taking the mock tests before the examination to boost your preparation.

If you are checking Comparison of Quantity article, also check the related maths articles in the table below: | |

Rolles Theorem and Lagranges Mean Value Theorem | Speed Time and Distance |

Mathematics | X Axis and Y Axis |

Bar Line Graph | Double Line Graph |

**Comparison of Quantity FAQs**

**Q.1 What is Comparison of Quantity?**

**Ans.1**In Comparison of Quantity, we calculate the value of quantities using our mathematical knowledge and then compare the quantities afterwards.

**Q.2 How many types of questions are asked from the Comparison of Quantity section?**

**Ans.2**A few types of questions that candidates can expect from the Comparison of Quantity section can be found above.

**Q.3 Where will I get the tips and tricks for Comparison of Quantity section?**

**Ans.3**Some of the tips and tricks regarding the Comparison of Quantity section are given above in the article.

**Q.4 Where I will find some of the sample questions related to Comparison of Quantity section?**

**Ans.4**Various example questions along with their solutions are given above in the article. Kindly go through the article for the same.

**Q.5 In which exam questions from Comparison of Quantity come up?**

**Ans.5**Comparison of Quantity comes in various government competitive examinations on a regular basis. The names of such examinations are given above in the article.