Table of Contents
The Comparing Quantities Class 7 Worksheet offers practical problems to aid students in grasping concepts like comparing quantities, profit, and more. It covers ratio, proportion, percentages, profit and loss, and simple interest. These worksheets help you understand the concepts better. Students practice converting ratios into percentages, representing profit and loss, and calculating interest. Important formulas like the percentage increase formula and interest formula are provided. This resource is invaluable for mastering these mathematical concepts crucial for real-life applications.
Comparing Quantities Class 7
Chapter 8 Comparing Quantities in Class 7 Mathematics involves understanding ratios, proportions, percentages, profit and loss, and simple interest. It is a fundamental concept for real-life applications, helping students make comparisons between different quantities. The chapter is a important chapter of CBSE syllabus includes practical problems that require students to calculate percentages, determine profit or loss, and solve interest-related questions. Important formulas covered in this chapter include the increase in percentage formula and the interest formula, which are essential for mastering these mathematical concepts. The worksheet for Class 7 on Comparing Quantities provides a structured approach to practice and enhance students’ skills in these areas, offering a mix of easy, medium, and tough questions to cater to different levels of understanding. The Comparing Quantities Class 7 Worksheet is an excellent resource for this purpose, providing a variety of questions categorized by difficulty level.
Comparing Quantities Class 7 Worksheet with Answer
Comparing Quantities class 7 worksheet with answer will help you to understand the concepts discussed in class 7 Comparing Quantities chapter, Below are the Comparing Quantities Class 7 worksheet questions answers for your exercise:
Comparing Quantities Class 7 Worksheet Exercise
Here’s a practice exercise for Comparing Quantities Class 7 Worksheet with Answers. This worksheet includes 24 questions categorized by difficulty level, with 18 easy, 3 medium, and 3 tough questions. The worksheet covers topics such as ratio, proportion, percentages, profit and loss, and simple interest. The following questions are designed to help students practice and master the skills required to compare quantities and solve real-life problems. The answers to these questions are provided below.
Topic: Ratios and Percentages
1. Question: If the ratio of the number of boys and girls in a class is 3:2, what is the percentage of girls in the class?
Solution:
Total students = 3 + 2 = 5
Percentage of girls = (Number of girls / Total students) * 100% = (2 / 5) * 100% = 40%
2. Question: If the ratio of the number of boys and girls in a class is 7:5, what is the percentage of girls in the class?
Solution:
Total students = 7 + 5 = 12
Percentage of girls = (Number of girls / Total students) * 100% = (5 / 12) * 100% = 41.67%
3. Question: If the ratio of the number of boys and girls in a class is 6:4, what is the percentage of boys in the class?
Solution:
Total students = 6 + 4 = 10
Percentage of boys = (Number of boys / Total students) * 100% = (6 / 10) * 100% = 60%
4. Question: If the ratio of the number of boys and girls in a class is 8:6, what is the percentage of girls in the class?
Solution:
Total students = 8 + 6 = 14
Percentage of girls = (Number of girls / Total students) * 100% = (6 / 14) * 100% = 42.86%
Topic: Profit and Loss
1. Question: A shopkeeper bought 100 pencils for Rs. 250 and sold them for Rs. 300. What is the profit percentage?
Solution:
Cost price = Rs. 250
Selling price = Rs. 300
Profit = Selling price – Cost price = Rs. 300 – Rs. 250 = Rs. 50
Profit percentage = (Profit / Cost price) * 100% = (50 / 250) * 100% = 20%
2. Question: A shopkeeper sells two fans at Rs. 2,000 each. If he makes a profit of 20% on one fan and a loss of 20% on the other, what is the overall profit or loss?
Solution:
Profit on first fan = 20% of Rs. 2,000 = Rs. 400
Loss on second fan = 20% of Rs. 2,000 = Rs. 400
Overall profit/loss = Profit on first fan – Loss on second fan = Rs. 400 – Rs. 400 = No profit or loss
3. Question: A shopkeeper bought 200 notebooks for Rs. 1,000 and sold them for Rs. 1,500. What is the profit percentage?
Solution:
Cost price = Rs. 1,000
Selling price = Rs. 1,500
Profit = Selling price – Cost price = Rs. 1,500 – Rs. 1,000 = Rs. 500
Profit percentage = (Profit / Cost price) * 100% = (500 / 1,000) * 100% = 50%
4. Question: A shopkeeper sells two radios at Rs. 1,500 each. If he makes a profit of 10% on one radio and a loss of 10% on the other, what is the overall profit or loss?
Solution:
Profit on first radio = 10% of Rs. 1,500 = Rs. 150
Loss on second radio = 10% of Rs. 1,500 = Rs. 150
Overall profit/loss = Profit on first radio – Loss on second radio = Rs. 150 – Rs. 150 = No profit or loss
Topic: Simple Interest
1. Question: A person borrowed Rs. 5,000 for 2 years at a simple interest rate of 5%. What is the amount of interest he has to pay?
Solution:
Principal (P) = Rs. 5,000
Time (t) = 2 years
Rate (r) = 5%
Simple Interest (I) = (P * r * t) / 100 = (5000 * 5 * 2) / 100 = Rs. 500
2. Question: A person borrowed Rs. 7,500 for 3 years at a simple interest rate of 6%. What is the amount of interest he has to pay?
Solution:
Principal (P) = Rs. 7,500
Time (t) = 3 years
Rate (r) = 6%
Simple Interest (I) = (P * r * t) / 100 = (7500 * 6 * 3) / 100 = Rs. 1,350
3. Question: A person borrowed Rs. 10,000 for 2 years at a simple interest rate of 4%. What is the amount of interest he has to pay?
Solution:
Principal (P) = Rs. 10,000
Time (t) = 2 years
Rate (r) = 4%
Simple Interest (I) = (P * r * t) / 100 = (10000 * 4 * 2) / 100 = Rs. 800
4. Question: A person borrowed Rs. 12,000 for 3 years at a simple interest rate of 5%. What is the amount of interest he has to pay?
Solution:
Principal (P) = Rs. 12,000
Time (t) = 3 years
Rate (r) = 5%
Simple Interest (I) = (P * r * t) / 100 = (12000 * 5 * 3) / 100 = Rs. 1,800
5. Question: A person borrowed Rs. 15,000 for 4 years at a simple interest rate of 6%. What is the amount of interest he has to pay?
Solution:
Principal (P) = Rs. 15,000
Time (t) = 4 years
Rate (r) = 6%
Simple Interest (I) = (P * r * t) / 100 = (15000 * 6 * 4) / 100 = Rs. 3,600
Topic: Cost Price and Selling Price
1. Question: The cost price of 15 pens is Rs. 120. What is the cost price of 20 pens?
Solution:
Cost price per pen = Rs. 120 / 15 = Rs. 8
Cost price of 20 pens = Rs. 8 * 20 = Rs. 160
2. Question: The cost price of 20 pens is Rs. 160. What is the cost price of 25 pens?
Solution:
Cost price per pen = Rs. 160 / 20 = Rs. 8
Cost price of 25 pens = Rs. 8 * 25 = Rs. 200
Topic: Increase and Decrease in Prices
1. Question: If the price of a book increases by 10%, what is the new price of a book that originally cost Rs. 150?
Solution:
Increase in price = 10% of Rs. 150 = Rs. 15
New price = Rs. 150 + Rs. 15 = Rs. 165
2. Question: If the price of a shirt increases by 15%, what is the new price of a shirt that originally cost Rs. 500?
Solution:
Increase in price = 15% of Rs. 500 = Rs. 75
New price = Rs. 500 + Rs. 75 = Rs. 575
3. Question: If the price of a book decreases by 10%, what is the new price of a book that originally cost Rs. 200?
Solution:
Decrease in price = 10% of Rs. 200 = Rs. 20
New price = Rs. 200 – Rs. 20 = Rs. 180
Topic: Percentage Increase and Decrease
1. Question: If the salary of a person increases by 20%, what is the new salary if his original salary was Rs. 10,000?
Solution:
Increase in salary = 20% of Rs. 10,000 = Rs. 2,000
New salary = Rs. 10,000 + Rs. 2,000 = Rs. 12,000
2. Question: If the salary of a person increases by 15%, what is the new salary if his original salary was Rs. 12,000?
Solution:
Increase in salary = 15% of Rs. 12,000 = Rs. 1,800
New salary = Rs. 12,000 + Rs. 1,800 = Rs. 13,800
Also Check:
Importance of Comparing Quantities Class 7 Worksheet
- Real-life Applications: Comparing quantities is essential in everyday scenarios like comparing weights, ages, grades, and more.
- Mathematical Concepts: Involves understanding ratios, proportions, percentages, profit and loss, and simple interest.
- Key Formulas: Includes percentage increase formula and interest formula for calculations.
- Decision Making: Helps in making informed decisions by analyzing differences in numbers or values.
- Quantitative Analysis: Dtermines the magnitude of difference between quantities.
- Decimal and Fraction Comparison: Useful for comparing decimals and fractions accurately.
- Standard Measurement: Helps in measuring quantities against a standard or reference unit.
- Percentage Comparison: Comparing using percentages is crucial when the number of individuals in groups being compared is not the same.
- Interest Calculation: Understanding interest is vital for financial transactions, with simple interest being a fixed proportion of the principal amount over time.
- Access to Solutions: Solutions for Class 7 Maths Chapter 8 are readily available online, including platforms like Infinity Learn, offering free downloadable PDFs for offline use.
| Other Resources for Class 7 | |
| NCERT Exemplar Solutions Class 7 | NCERT Books for Class 7 |
| Class 7 Worksheets | NCERT Solutions for Class 7 |
FAQs on Comparing Quantities Class 7 Worksheet
What is the rule for comparing quantities?
The rule for comparing quantities is to convert both quantities into the same form, such as decimals, fractions, or percentages, and then compare them. This helps in determining if one quantity is larger than, lower than, or equal to another.
What are the methods of comparing quantities?
The methods of comparing quantities include comparing fractions, decimals, and percentages. These methods involve converting both quantities into the same form and then comparing them.
What is the formula of comparing quantities?
There is no single formula for comparing quantities, as it depends on the type of quantities being compared. However, the general rule is to convert both quantities into the same form and then compare them.
How does comparing quantities class 7 worksheets help you understand the concepts?
Comparing quantities class 7 worksheets help students understand the concepts by providing practical problems that help them learn how to compare quantities, calculate percentages, and understand profit and loss. These worksheets also help students learn how to convert fractions, decimals, and percentages into the same form for comparison.
What is the purpose of comparing quantities?
The purpose of comparing quantities is to determine the relationship between two or more quantities, such as determining if one quantity is larger than, lower than, or equal to another. This is a useful skill in everyday life and is essential for making informed decisions.
