RD Sharma Solutions for Class 7 Maths Chapter 12 Profit and Loss
By Ankit Gupta
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Updated on 23 Apr 2025, 11:53 IST
Understanding how money works in real-life situations is very important, especially when it comes to buying and selling things. That’s exactly what Chapter 12 – Profit and Loss in RD Sharma’s Class 7 Maths book teaches us. This chapter is all about simple calculations related to profit (how much you earn) and loss (how much you lose) when doing any business or trade. These ideas are not just helpful for exams—they are also useful in everyday life
Imagine you buy a toy for ₹100 and sell it to your friend for ₹120. You make a profit of ₹20. But if you sell it for ₹80 instead, you lose ₹20. These types of calculations are part of the Profit and Loss chapter. In this chapter, students learn how to find the Cost Price (CP), Selling Price (SP), Profit, Loss, and Profit or Loss Percentage. These are basic but very important concepts in math, especially when you deal with money.
RD Sharma’s solutions make learning these concepts very simple. The solutions are explained step-by-step in an easy-to-understand language. Each question is solved in a detailed way, so students can follow the logic and understand how to apply formulas correctly. Whether the question is about finding profit percent or calculating the selling price when the profit is given, the RD Sharma Solutions provide clear methods to solve them.
Do Check: RD Sharma Solutions for Class 7 Maths
This chapter also includes word problems that are based on real-life situations. Solving these helps students improve their thinking and problem-solving skills. The RD Sharma Solutions help break down these word problems and explain them clearly, so even tricky questions become easier to handle.
What makes these solutions even better is that they follow the CBSE curriculum, so students can be confident that they are preparing well for their school exams. The practice provided in the RD Sharma Solutions helps build a strong foundation in math and makes students more confident in handling questions related to profit and loss.
In short, RD Sharma Solutions for Class 7 Maths Chapter 12 – Profit and Loss are a great way to understand money-related math topics. With clear explanations, solved examples, and practice questions, students can learn quickly and easily while gaining skills they’ll use in real life too.
Download RD Sharma Solutions for Class 7 Maths Chapter 12 Profit and Loss PDF Here
RD Sharma Class 7 Chapter 12 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 12 PDF.
Access Answers to RD Sharma Solutions for Class 7 Maths Chapter 12 Profit and Loss
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.
Question 1: Find the missing value or identify profit/loss for the following:
(i) If the cost price of an item is Rs 1200 and it is sold for Rs 1350, calculate the profit or loss.
Answer: Since selling price is more than cost price, there is a profit.
Profit = 1350 - 1200 = Rs 150
(ii) If something is bought for Rs 980 and sold for Rs 940, how much is the loss?
Answer: Since cost price is more, there is a loss.
Loss = 980 - 940 = Rs 40
(iii) If an item is purchased for Rs 720 and there is a profit of Rs 55.50, what is the selling price?
Answer: Selling Price = 720 + 55.50 = Rs 775.50
(iv) If an item is sold for Rs 1254 at a loss of Rs 32, what was its cost price?
Answer: Cost Price = 1254 + 32 = Rs 1286
Question 2: Fill in the missing numbers:
(i) C.P. = Rs 1265, S.P. = Rs 1253, find the loss.
Answer: Loss = 1265 - 1253 = Rs 12
(ii) S.P. = Rs 450, Profit = Rs 150, find the cost price.
Answer: C.P. = 450 - 150 = Rs 300
(iii) C.P. = Rs 3355, S.P. = Rs 7355, calculate the profit.
Answer: Profit = 7355 - 3355 = Rs 4000
(iv) S.P. = Rs 2390, Loss = Rs 5.50, find the cost price.
Answer: C.P. = 2390 + 5.50 = Rs 2395.50
Question 3: Work out the profit/loss and also calculate the percentage:
(i) Bought for Rs 4560 and sold for Rs 5000
Answer: Profit = 5000 - 4560 = Rs 440
Profit % = (440 / 4560) × 100 = 9.65%
(ii) Bought for Rs 2600 and sold for Rs 2470
Answer: Loss = 2600 - 2470 = Rs 130
Loss % = (130 / 2600) × 100 = 5%
(iii) Bought for Rs 332 and sold for Rs 350
Answer: Profit = 350 - 332 = Rs 18
Profit % = (18 / 332) × 100 = 5.4%
(iv) Bought and sold for Rs 1500
Answer: No profit or loss
Question 4: Find profit or loss percentage:
(i) If an item costs Rs 4000 and gives a profit of Rs 40
Answer: Profit % = (40 / 4000) × 100 = 1%
(ii) If it is sold for Rs 1272 at a loss of Rs 328
Answer: C.P. = 1272 + 328 = Rs 1600
Loss % = (328 / 1600) × 100 = 20.5%
(iii) If the selling price is Rs 1820 and the profit is Rs 420
Answer: C.P. = 1820 - 420 = Rs 1400
Profit % = (420 / 1400) × 100 = 30%
Question 5: Find profit or loss percentage when extra costs are added:
(i) C.P. = Rs 2300, Overhead = Rs 300, Profit = Rs 260
Answer: Profit % = (260 / (2300 + 300)) × 100 = 10%
(ii) C.P. = Rs 3500, Overhead = Rs 150, Loss = Rs 146
Answer: Loss % = (146 / (3500 + 150)) × 100 = 4%
Question 6: A merchant sold 600 quintals of rice. Each quintal cost Rs 250. He had extra expenses of Rs 1000. He made a profit of 7%. Find the profit and selling price.
Answer: Cost = 600 × 250 = Rs 150000
Total CP = Rs 151000
Profit = 7% of 151000 = Rs 10570
SP = 151000 + 10570 = Rs 161570
Question 7: Naresh bought 4 dozen pencils for Rs 10.80 per dozen and sold each pencil at 80 paise. What was his loss %?
Answer: CP = 4 × 10.80 = Rs 43.20
SP = 48 × 0.80 = Rs 38.40
Loss = 43.20 - 38.40 = Rs 4.80
Loss % = (4.8 / 43.2) × 100 = 11.11%
Question 8: A fruit seller buys oranges at Rs 26 per dozen and sells 5 oranges for Rs 13. Find his profit percent.
Answer: CP per orange = 26 / 12 = Rs 2.16
CP for 5 oranges = 5 × 2.16 = Rs 10.8
SP = Rs 13
Profit = 13 - 10.8 = Rs 2.2
Profit % = (2.2 / 10.8) × 100 = 20.3%
Question 9: Mr. Virmani bought a house for Rs 365000 and spent Rs 135000 on repairs. He sold it for Rs 550000. Calculate his profit %.
Answer: CP = 365000 + 135000 = Rs 500000
Profit = 550000 - 500000 = Rs 50000
Profit % = (50000 / 500000) × 100 = 10%
Question 10: Shikha bought a wristwatch for Rs 840 and sold it to Vidhi for Rs 910. What was her profit %?
Answer: Profit = 910 - 840 = Rs 70
Profit % = (70 / 840) × 100 = 8.3%
FAQs on RD Sharma Solutions for Class 7 Maths Chapter 12 Profit and Loss
What is covered in RD Sharma Solutions for Class 7 Chapter 12 – Profit and Loss?
RD Sharma Solutions for Chapter 12 cover important concepts like Cost Price (CP), Selling Price (SP), Profit, Loss, and Profit or Loss Percentages. It also includes step-by-step solutions to various types of problems, including direct formula-based sums and word problems based on real-life situations.
Are the RD Sharma Solutions for Chapter 12 easy to understand?
Yes, the solutions are written in a simple and clear manner. Each step is explained in detail, making it easier for students to understand the logic and learn how to apply formulas correctly.
How do RD Sharma Solutions help in exam preparation?
These solutions strictly follow the CBSE syllabus and provide well-structured answers. Practicing them improves accuracy, speed, and problem-solving skills, which are essential for performing well in school exams.
Are there any shortcuts or tricks given in the solutions?
While the main focus is on concept clarity, the solutions sometimes include smart methods or simplified steps that help in solving problems quickly without skipping important logic.
Can these solutions help students in understanding real-life money concepts?
Yes, the chapter includes many real-world examples, and the solutions help students understand how profit and loss concepts apply in daily shopping, business, or trade.
Is it necessary to refer to RD Sharma Solutions in addition to the textbook?
While the textbook is great for learning the theory, RD Sharma Solutions are helpful for practice and doubt clearing. They act as a guide and ensure that students do not get stuck while solving difficult problems.
Where can students access RD Sharma Solutions for Class 7 Chapter 12?
Students can access these solutions online through Infinity Learn that provide free or paid access to RD Sharma Solution PDFs for all chapters.