RD Sharma Solutions for Class 7 Maths Chapter 11 Percentage
Mathematics is all around us, and one concept that we come across often in daily life is percentage. Chapter 11 of RD Sharma for Class 7 introduces this important topic, helping students understand the meaning and calculation of percentages in a simple and clear manner. But what exactly is a percentage? In simple terms, a percentage is a way of expressing a number as a fraction of 100. It is represented by the symbol %, and it is widely used in various situations like calculating discounts, interest rates, marks, and more.
In this chapter, you will learn the basics of percentages, how to convert between fractions, decimals, and percentages, and how to apply these skills in real-life scenarios. You will also explore important concepts like finding the percentage of a number, percentage increase and decrease, and understanding the practical uses of percentages. This will not only help in exams but also in everyday calculations.
Through RD Sharma’s solutions, students can easily grasp each topic, step by step. The solutions provided are detailed and systematic, making complex concepts easy to understand. For example, when you are asked to find the percentage of a number, the process involves multiplying the given number by the percentage and then dividing by 100. These calculations become much clearer with solved examples and practice questions.
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As you progress through this chapter, you will develop a deeper understanding of how percentages are connected to fractions and decimals, which will further strengthen your mathematical skills. The chapter also includes a variety of problems with different levels of difficulty, ensuring that students of all abilities can find the practice they need.
The RD Sharma Solutions for Class 7 Chapter 11 are a great resource for students who wish to master the concept of percentage and perform calculations with ease. By practicing the exercises and understanding the step-by-step solutions, you will be well-prepared to apply this knowledge in exams and day-to-day life.
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RD Sharma Class 7 Chapter 11 PDF includes detailed solutions, examples, and extra questions to help you master real numbers and other topics. Click here to download the RD Sharma Class 7 Chapter 11 PDF.
Access Answers to RD Sharma Solutions for Class 7 Maths Chapter 11 Percentage
In this chapter, students will learn about decimals and how to perform basic operations with them. The solutions provided here are detailed and easy to follow, helping students understand each concept thoroughly.
Q1. Express each of the following percentages as fractions in their simplest form:
(i) 45%
45% = 45/100
Simplified: 9/20
(ii) 0.25%
0.25% = 0.25/100
Simplified: 1/400
(iii) 150%
150% = 150/100
Simplified: 3/2
(iv) 6 1/4 %
6 1/4% = 6.25/100
Simplified: 1/16
Q2. Express each of the following fractions as percentages:
(i) ¾
(3/4) × 100 = 75%
(ii) 53/100
(53/100) × 100 = 53%
(iii) 1 3/5
Convert to improper fraction: 1 3/5 = 8/5
(8/5) × 100 = 160%
(iv) 7/20
(7/20) × 100 = 35%
Q3. Express each of the following ratios as percentages:
(i) 4:5
4:5 = 4/5
(4/5) × 100 = 80%
(ii) 1:5
1:5 = 1/5
(1/5) × 100 = 20%
(iii) 11:125
11:125 = 11/125
(11/125) × 100 = 8.8%
Q4. Express each of the following percentages as ratios in the simplest form:
(i) 2.5%
2.5% = 2.5/100
Simplified: 1/40
(ii) 0.4%
0.4% = 0.4/100
Simplified: 1/250
(iii) 13 3/4 %
13 3/4% = 13.75/100
Simplified: 11/80
Q5. Express each of the following percentages as decimals:
(i) 12.5%
12.5% = 12.5/100 = 0.125
(ii) 75%
75% = 75/100 = 0.75
(iii) 128.8%
128.8% = 128.8/100 = 1.288
(iv) 0.05%
0.05% = 0.05/100 = 0.0005
Q6. Express each of the following decimals as percentages:
(i) 0.004
0.004 = 4/1000
(4/1000) × 100 = 0.4%
(ii) 0.24
0.24 = 24/100
(24/100) × 100 = 24%
(iii) 0.02
0.02 = 2/100
(2/100) × 100 = 2%
(iv) 0.275
0.275 = 275/1000
(275/1000) × 100 = 27.5%
Q7. Write each of the following as whole numbers or mixed numbers:
(i) 136%
136% = 136/100 = 34/25
(ii) 250%
250% = 250/100 = 5/2
(iii) 300%
300% = 300/100 = 3
FAQs on RD Sharma Solutions for Class 7 Maths Chapter 11 Percentage
What is the main concept covered in RD Sharma Class 7 Chapter 11 – Percentage?
RD Sharma Class 7 Chapter 11 focuses on the concept of percentage, including how to convert a fraction into a percentage, calculating percentages of a number, and understanding percentage increase and decrease. The chapter also covers real-life applications of percentages.
How do I convert a fraction into a percentage in RD Sharma Chapter 11?
To convert a fraction into a percentage, multiply the fraction by 100. For example, to convert 3/4 into a percentage, multiply 3/4 by 100, which equals 75%.
What are some practical applications of percentages covered in this chapter?
The chapter discusses practical applications such as finding percentage discounts in shopping, calculating profit and loss in business, and determining percentage increases or decreases in various scenarios.
What is the difference between simple percentage and percentage increase/decrease?
Simple percentage refers to a percentage of a number (e.g., 20% of 50). Percentage increase or decrease refers to the difference in value relative to the original number, such as a 10% increase in salary.
Are there any tips to solve percentage-related word problems in this chapter?
To solve percentage-related word problems, first, convert the given values into proper formats (fractions, decimals, or percentages). Then, use formulas like "Percentage = (Value × 100) / Total" and ensure to interpret the problem correctly by identifying what is being calculated.
What are some common mistakes to avoid when working with percentages in RD Sharma Class 7?
A common mistake is forgetting to convert between fractions, decimals, and percentages properly. Also, ensure to watch out for signs of increase or decrease when calculating percentage changes.
How can RD Sharma Solutions help in mastering this chapter?
RD Sharma Solutions provide step-by-step explanations and detailed solutions to each exercise, helping students understand the concepts more clearly and practice a variety of questions related to percentages.
Are there any additional resources to help improve my understanding of percentages?
In addition to RD Sharma solutions, you can refer to online platforms like Infinity Learn or practice additional problems from textbooks like NCERT or other reference books to gain a deeper understanding of percentages.