Last Updated on September 8, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 8 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 8 maths. In this article, you will find case study questions for CBSE Class 8 Maths Chapter 7 Comparing Quantities. It is a part of Case Study Questions for CBSE Class 8 Maths Series.

Chapter | Comparing Quantities |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 8 |

Subject | Maths |

Useful for | Class 8 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 8 Maths Chapterwise Case Study |

### Case Study Questions on Comparing Quantities

**Questions**

**Passage 1: **A survey was conducted among primary school students, and were asked about how much time they spend on tuition and how much time on self study. It was found that 90 students take tuition for 1 h to 1.5 h. The distribution of students according to time they take tuition is 30% take tuition for 1.5 h to 2 h, 20% take tuitions for 1 h to 1.5 h, 50% did not take tuition at all.

*On basis of this information given in passage answer following questions.*

Q. 1. How many students do self study?

(a) 300

(b) 225

(c) 375

(d) 275

**Difficulty Level: **Easy

Ans. Option (b) is correct.

Explanation: Total students = 450

Students who study themselves = 50% of 450 = 50 x 450 / 100 = 225

Q. 2. How many students take tuitions for more than 1.5 h?

(a) 135

(b) 150

(c) 110

(d) 105

**Difficulty Level: **Easy

Ans. Option (a) is correct.

Explanation: Students who take tuitions for more than 1.5 h = 30%

Total number of students = 450

Number of students = 30 x 450 / 100 = 135

Q. 3. For how much time does 90 students take tutions?

(a) 1 hr

(b) 1.5 hr

(c) 2 hr

(d) 1 hr to 1.5 hr

**Difficulty Level: **Medium

Ans. Option (d) is correct.

Explanation: 90 students take tuition for 1 hr to 1.5 hr

Q. 4. How many students were surveyed?

**Difficulty Level: **Easy

Sol. Here, 90 students take tuition for 1 h to 1.5 h

Percentage given = 20%

Let number of students who take tuition = x

Then, 20% of x = 90

20x/100 = 90

x = 90 x 100/20 = 450

Hence, 450 students were surveyed.

Q. 5. In all how many percent students take tuitions?

**Difficulty Level: **Easy

Sol. Number of students surveyed = 450

Number of students who did not tuitions = 225

Number of students who take tuitions = 450 – 225 = 225

Percentage of students take tuitions = 225 x 100/450 = 50%

### Also check

- Exponents and Powers Class 8 Case Study Questions Maths Chapter 10
- Mensuration Class 8 Case Study Questions Maths Chapter 9
- Algebraic Expressions and Identities Class 8 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 8 Case Study Questions Maths Chapter 7
- Cube and Cube Roots Class 8 Case Study Questions Maths Chapter 6
- Square and Square Roots Class 8 Case Study Questions Maths Chapter 5
- Data Handling Class 8 Case Study Questions Maths Chapter 4
- Understanding Quadrilaterals Class 8 Case Study Questions Maths Chapter 3
- Linear Equations in One Variable Class 8 Case Study Questions Maths Chapter 2
- Rational Numbers Class 8 Case Study Questions Maths Chapter 1

### Download eBooks for CBSE Class 8 Maths

- Rational Numbers Topicwise Worksheet for CBSE Class 8 Maths
- Linear Equations in One Variable Worksheet for CBSE Class 8 Maths
- Understanding Quadrilaterals Worksheet for CBSE Class 8 Maths
- Data Handling Worksheet for CBSE Class 8 Maths
- Squares and Square Roots Worksheet for CBSE Class 8 Maths
- Cube and Cube Roots Worksheet for CBSE Class 8 Maths
- Comparing Quantities Worksheet for CBSE Class 8 Maths
- Algebraic Expressions and Identities Worksheet for CBSE Class 8 Maths

### Topics from which case study questions may be asked

- Recalling Ratios and Percentage
- Finding Discounts
- Estimating in Percentage
- Sales Tax/Value Added Tax/ Goods and Services Tax
- Compound Interest/Simple Interest
- Deducing a Formula for Compound Interest
- Application of Compound Interest Formula

Discount is on Marked Price, so marked price is used as the base.

Case study questions from the above given topic may be asked.

### Frequently Asked Questions (FAQs) on Comparing Quantities Case Study

#### Q1: What does ‘comparing quantities’ mean in mathematics?

A1: Comparing quantities in mathematics refers to the process of analyzing two or more numbers or values to understand their relationship. This comparison can involve ratios, percentages, fractions, and differences to see how one quantity relates to another.

#### Q2: How is a ratio different from a fraction?

A2: A ratio compares two quantities by division and shows how many times one value is contained within another, while a fraction represents a part of a whole. For example, the ratio 3:4 indicates that for every 3 units of one quantity, there are 4 units of another, whereas the fraction 3/4 represents 3 parts out of a total of 4.

#### Q3: What is the percentage, and how is it calculated?

A3: A percentage is a way of expressing a number as a fraction of 100. It is calculated by dividing the part by the whole and then multiplying by 100.

#### Q4: How do you compare quantities using percentages?

A4: To compare quantities using percentages, convert the given values into percentages and then compare them.

#### Q5: What is profit and loss in comparing quantities?

A5: Profit and loss are concepts used in comparing quantities related to financial transactions. Profit is the amount gained when the selling price is higher than the cost price, while loss occurs when the selling price is lower than the cost price. Profit and loss are often expressed as percentages of the cost price.

#### Q6: **What is the difference between Simple Interest and Compound Interest?**

A6: Simple Interest is calculated only on the original principal amount throughout the investment period, while Compound Interest is calculated on the principal amount plus any interest that has been added from previous periods. Compound Interest usually results in a higher total amount compared to Simple Interest.

#### Q7: **Why is it important to understand comparing quantities?**

A7: Understanding comparing quantities is crucial in everyday life as it helps in making informed decisions related to finances, shopping, budgeting, and investments. It also lays the foundation for more advanced mathematical concepts and real-life applications.

#### Q8: **Are there any online resources or tools available for practicing comparing quantities case study questions?**

A8: We provide case study questions for CBSE Class 8 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.