Last Updated on August 24, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 7 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 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 7 Comparing Quantities. It is a part of Case Study Questions for CBSE Class 7 Maths Series.

Chapter | Comparing Quantities |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 7 |

Subject | Maths |

Useful for | Class 7 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 7 Maths Chapterwise Case Study |

### Case Study Questions on Comparing Quantities

**Questions**

**Passage 1: **

Online shopping has increased in the past few years. There are several apps and websites available which allow buyers to purchase goods online.

Q. 1. In a survey, every three out five people prefer online shopping over shopping from the local market. What percentage of people in the survey prefer shopping from the local market?

** Difficulty Level: **Medium

Ans.

\begin{aligned}

\text { Required percentage } & =\frac{2}{5} \times 100 \% \\

& =40 \%

\end{aligned}

Q. 2. The marked price of a hot water geyser is 9000. It is available at a discounted price for 7560 on an online shopping website. What is the percent reduction in the cost of the geyser?

** Difficulty Level: **Medium

Marked price of a geyser =â‚¹9000

Discounted price of the geyser =â‚¹7560

Discount = â‚¹9000 – â‚¹7560 = â‚¹1440

$\therefore$ Required percentage reduction

$$

\begin{aligned}

& =\frac{1440}{9000} \times 100 \% \\

& =16 \%

\end{aligned}

$$

Q. 3. Misha spent ` 15,000 for groceries and home products last month. She shopped online as well as from the local market. The amount of money she spent on online shopping is three times the amount she spent on shopping from the local market. What percentage of money did Misha spend by shopping online?

** Difficulty Level: **Medium

Ans. 75%

Q. 4. Nisha purchased 20 pairs of earrings for 200. She pasted colourful beads on the earrings with glue. The beads cost her 30 and a tube of glue to stick the beads costs 20. She sold each pair of earrings for 40. After selling all the earrings, how many rupees did she make as profit?

** Difficulty Level: **Medium

Ans. Option (b) is correct.

** Explanation**:

Total amount spent on 20 pairs of earrings

= 200 + 30 + 20 = 250

S.P. of 20 pairs of earrings = 20 Ã— 40

= 800 So, Profit = S.P. â€“ C.P. = 800 â€“ 250 = 550

Q. 5. What percentage profit did Nisha make?

** Difficulty Level: **Medium

Explanation: Percentage of profit made by Nisha

$$

\begin{aligned}

& =\frac{\text { Profit }}{\text { C.P. }} \times 100 \% \\

& =\frac{550}{250} \times 100 \% \\

& =220 \%

\end{aligned}

$$

### Also check

- Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13
- Symmetry Class 7 Case Study Questions Maths Chapter 12
- Exponents and Powers Class 7 Case Study Questions Maths Chapter 11
- Algebraic Expressions Class 7 Case Study Questions Maths Chapter 10
- Perimeter and Area Class 7 Case Study Questions Maths Chapter 9
- Rational Numbers Class 7 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
- Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
- Lines and Angles Class 7 Case Study Questions Maths Chapter 5
- Simple Equations Class 7 Case Study Questions Maths Chapter 4
- Data Handling Class 7 Case Study Questions Maths Chapter 3
- Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2
- IntegersÂ Class 7 Case Study Questions Maths Chapter 1

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

- Percentage
- Interpreting percentage
- Buying and selling
- Simple interest

The ratio of two numbers is expressed in its simplest form and has no units. An equality of two ratios is called a proportion.

A proportion has 4 terms. The first and fourth terms of a proportion are called the extreme terms while second and third terms are called the means.

One of the ways of comparing quantities is percentage. Per cent is derived from Latin word â€˜per centumâ€™ meaning â€˜per hundredâ€™. Percent is represented by the symbol % and means hundredth too.

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

Percent means per hundred. The numerator of a fraction with denominator 100 represents percentage to convert a fraction into percent, multiply to fraction by 100.

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

#### Q1: What is an equivalent ratio?

A1: An equivalent ratio is a ratio that represents the same relationship between quantities as another ratio, but in different terms. For example, the ratio 2:3 is equivalent to 4:6 and 6:9. Equivalent ratios are useful in scaling quantities up or down while maintaining the same proportional relationship.

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

A2: A ratio is a way to compare two quantities by division, indicating how many times one quantity is contained in another. A fraction, on the other hand, represents a part of a whole. While ratios compare two numbers, fractions describe a part of a single quantity.

#### Q3: How do you convert a fraction to a percentage?

A3: To convert a fraction to a percentage, multiply the fraction by 100 and add the percentage symbol (%).

#### Q4: What is the formula for calculating percentage increase or decrease?

A4: The formula for percentage increase or decrease is:

Percentage Change $=\frac{\text { Change in Value }}{\text { Original Value }} \times 100$

For an increase, the change in value is positive, and for a decrease, it’s negative.

#### Q5: How do you calculate profit or loss percentage?

A5: The profit or loss percentage is calculated using the following formulas:

Profit Percentage:

$$

\text { Profit } \%=\frac{\text { Profit }}{\text { Cost Price }} \times 100

$$

Loss Percentage:

$$

\operatorname{Loss} \%=\frac{\text { Loss }}{\text { Cost Price }} \times 100

$$

#### Q6: **Can you give an example of how to solve a word problem involving ratios?**

A6: Sure! Suppose there are 120 boys and 80 girls in a school. The ratio of boys to girls is calculated as:

Ratio = 120/80 = 3/2

This means for every 3 boys, there are 2 girls.

#### Q7: **What is the importance of understanding percentages in daily life?**

A7: Understanding percentages is crucial in daily life as they are used in various situations such as calculating discounts, interest rates, taxes, and more. Percentages help in making informed decisions related to finance, shopping, and comparing data.

#### Q8: What are the key concepts covered in Chapter 7: Comparing Quantities?

A8: Chapter 7 of Class 7 Maths covers several important concepts, including ratios, percentages, equivalent ratios, and their applications in real-life scenarios. Students also learn about converting fractions to percentages and vice versa, finding the percentage increase or decrease, and calculating profit and loss.

#### Q9: **Are there any online resources or tools available for practicing comparing quantities case study questions?**

A9: We provide case study questions for CBSE Class 8 Maths on ourÂ 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 visitÂ Physics GurukulÂ website. they are having a large collection of case study questions for all classes.