Understanding percentages is an important skill in mathematics, and Chapter 11 of RD Sharma Class 7 Maths introduces this topic in a simple and clear way. Percentages are used in our daily lives — from calculating discounts during shopping to figuring out marks in exams, or even understanding statistics in news reports. This chapter helps students understand what a percentage means and how to use it in different situations.
The RD Sharma Class 7 Chapter 11 solutions are designed to make learning about percentages easier and more interesting. The chapter begins by explaining the basic concept of percentage, which means “out of 100.” Students will learn how to convert fractions and decimals into percentages and vice versa. The step-by-step explanations in the RD Sharma solutions guide students through each type of question, making sure the concepts are easy to understand.
As students move through the exercises, they will solve problems on finding percentages of given numbers, increase or decrease in quantities, and using percentages in real-life word problems. These questions are presented in a simple and logical manner. The solutions offer detailed methods to solve each question, helping students build confidence and accuracy.
Do Check: RD Sharma Solutions for Class 7 Maths
For students who find Maths challenging, these RD Sharma solutions act like a helpful teacher. Each answer is explained with easy-to-follow steps, allowing students to practice and revise the topic thoroughly. By solving these questions regularly, students will improve their problem-solving speed and understand the logic behind every step.
Download RD Sharma Solutions for Class 7 Maths Chapter 11 Percentage PDF Here
If you want to study RD Sharma Solutions for Class 7 Maths Chapter 11 on Percentage anytime and anywhere, you can download the PDF from here. It is very helpful for students who want to revise the chapter quickly or practice problems at their own pace. With the PDF, you don’t need to carry the book all the time — just open the file on your phone, tablet, or computer and start learning. It’s a smart and easy way to prepare well for your Maths exams.
Access Answers to RD Sharma Solutions for Class 7 Maths Chapter 11 Percentage
Chapter 11 Percentage Exercise 11.1
Q1. Change the following percentages into fractions in simplest form:
(i) 45%:
45% = 45/100 = 9/20
(ii) 0.25%:
0.25% = 0.25/100 = 25/10000 = 1/400
(iii) 150%:
150% = 150/100 = 3/2
(iv) 6 1/4 %:
6 1/4% = 6.25% = 6.25/100 = 625/10000 = 1/16
Q2. Convert these fractions into percent:
(i) 3/4: (3/4) × 100 = 75%
(ii) 53/100: (53/100) × 100 = 53%
(iii) 1 3/5: 1 3/5 = 8/5, (8/5) × 100 = 160%
(iv) 7/20: (7/20) × 100 = 35%
Chapter 11 Percentage Exercise 11.2
Q1. Convert the following ratios into percentages:
(i) 4:5: (4/5) × 100 = 80%
(ii) 1:5: (1/5) × 100 = 20%
(iii) 11:125: (11/125) × 100 = 44/5% or 8.8%
Q2. Convert the following percentages into ratios in simplest form:
(i) 2.5%: 2.5/100 = 25/1000 = 1/40
(ii) 0.4%: 0.4/100 = 4/1000 = 1/250
(iii) 13 3/4%: 13.75/100 = 1375/10000 = 11/80
Chapter 11 Percentage Exercise 11.3
Q1. Change the following percentages into decimals:
(i) 12.5%: 12.5/100 = 0.125
(ii) 75%: 75/100 = 0.75
(iii) 128.8%: 128.8/100 = 1.288
(iv) 0.05%: 0.05/100 = 0.0005
Q2. Change the following decimals into percent:
(i) 0.004: (0.004 × 100) = 0.4%
(ii) 0.24: (0.24 × 100) = 24%
(iii) 0.02: (0.02 × 100) = 2%
(iv) 0.275: (0.275 × 100) = 27.5%
Q3. Write the following percentages as whole or mixed numbers:
(i) 136%: 136/100 = 1.36 or 34/25
(ii) 250%: 250/100 = 2.5 or 5/2
(iii) 300%: 300/100 = 3
Chapter 11 Percentage Exercise 11.4
Q1. Find the following:
(i) 7% of Rs 7150: (7/100) × 7150 = Rs 500.50
(ii) 40% of 400kg: (40/100) × 400 = 160kg
(iii) 20% of 15.125L: (20/100) × 15.125 = 3.025L
(iv) 3 1/3% of 90km: (10/300) × 90 = 3km
(v) 2.5% of 600m: (2.5/100) × 600 = 15m
Q2. Find the number whose 12 ½ % is 64:
Let the number be x. Then (12.5/100) × x = 64
x = (64 × 100) / 12.5 = 512
Q3. 6 ¼ % of which number is 2?
(6.25/100) × x = 2
x = (2 × 100)/6.25 = 32
Q4. 6 is 50% of which number?
(50/100) × x = 6
x = (6 × 100)/50 = 12
Chapter 11 Percentage Exercise 11.5
Q1. What percent of:
(i) 24 is 6: (6/24) × 100 = 25%
(ii) Rs 125 is Rs 10: (10/125) × 100 = 8%
(iii) 4km is 160m: 160/4000 × 100 = 4%
(iv) Rs 8 is 25 paise: 25/800 × 100 = 3.125%
(v) 2 days is 8 hours: 8/48 × 100 = 16.67%
(vi) 1L is 175ml: 175/1000 × 100 = 17.5%
Q2. Convert (3/8) into percent:
(3/8) × 100 = 37.5%
Q3. Find the number for each condition:
(i) 8 is 4% of: x = (8 × 100)/4 = 200
(ii) 6 is 60% of: x = (6 × 100)/60 = 10
(iii) 6 is 30% of: x = (6 × 100)/30 = 20
(iv) 12 is 25% of: x = (12 × 100)/25 = 48
Q4. Convert the following into percentages and compare:
(i) 25/30: (25/30) × 100 = 83.33%
35/40: (35/40) × 100 = 87.5%
Answer: 35 out of 40 is more
(ii) 100/110: = 90.91%, 50/55: = 90.91%
Answer: Both are equal
Q5. What is 20% more than Rs. 200?
(20/100) × 200 = 40
200 + 40 = Rs. 240
Q6. What is 10% less than Rs. 150?
(10/100) × 150 = 15
150 - 15 = Rs. 135