Profit and Loss

JNVST Class 9 Mathematics Chapter 7: Profit and Loss: Easy Explanation and Key Formulas

Profit and Loss is an important topic for Class 9 Maths and JNVST preparation. It helps students understand common buying and selling situations. Therefore, students should clearly learn cost price, selling price, profit, and loss before solving questions. JNVST Class 9 Mathematics Profit and Loss also includes percentage-based questions, so knowing the basic rules is helpful. In this guide, students will learn the topic in simple words with Profit and Loss formulas, Profit and Loss examples, and useful practice points.

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What is Profit and Loss?

Profit and Loss tells us whether money is gained or lost when an item is sold. First, learn these two terms:

Cost Price (CP): The price paid to buy an item.
Selling Price (SP): The price received when the item is sold.

If SP is more than CP, there is profit. However, if SP is less than CP, there is loss. These basics are useful for JNVST Class 9 Maths Profit and Loss.

Profit and Loss PDF

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Important JNVST Class 9 Mathematics Profit and Loss Exam Formulas

The main profit and loss formulas are simple to understand and practise, we have mention them below:

Profit	Selling Price - Cost Price
Loss	Cost Price - Selling Price
Profit%	((Selling Price - Cost Price) ÷ CP) × 100
Loss %	((Cost Price - Selling Price) ÷ CP) × 100
Selling Price	((100 - Loss%) ÷ 100) × Cost Price
Selling Price	((100 + Profit %) ÷ 100) × Cost Price
Cost Price	(100 × SP) / (100 - Loss%)
Cost Price	(100 × SP) / (100 + Profit%)
Discount Formulas
Discount	Market Price - Selling Price
Discount%	((MP - SP) / MP) × 100
Selling Price	MP - Discount
Market Price	(100 × SP) / (100 - Discount%)
Taxation Formulas
Tax	Final Amount - Initial Amount
Tax%	((Final Amount - Initial Amount) / Initial Amount) × 100

So, students should learn these Profit and Loss formulas and use them in practice sums. Also, remember that percentage is calculated on CP.

Also Check: Navodaya Class 9 Syllabus 2027 Subject-Wise Complete Syllabus
Easy Profit and Loss Examples
Here are some Profit and Loss examples.

Example 1: A book costs ₹200 and is sold for ₹250.
Profit = ₹250 − ₹200 = ₹50.
Profit % = (50 ÷ 200) × 100 = 25%.

Example 2: A bag costs ₹500 and is sold for ₹450.
Loss = ₹500 − ₹450 = ₹50.
Loss % = (50 ÷ 500) × 100 = 10%.
These Profit and Loss examples show the basic method. Therefore, always find CP and SP first.
How to Solve Profit and Loss Questions?
Moreover, JNVST Class 9 Maths Profit and Loss may include direct and word-based sums. JNVST Class 9 Maths Profit and Loss also needs regular practice. Follow these steps for Profit and Loss questions:

Read the question carefully.
Find CP and SP.
Compare CP and SP.
Decide whether it is profit or loss.
Use the correct formula.
Check the final answer.

Also Check: How to Choose the Best Coaching for Navodaya Vidyalaya Class 9 Admission
Key Points for JNVST Class 9 Mathematics Profit and Loss Chapter Revision
For JNVST Class 9 Mathematics Profit and Loss, remember these points:
SP > CP means profit.
CP > SP means loss.
Profit percentage uses CP.
Loss percentage uses CP.
Write CP and SP before solving.
Check calculations before selecting an answer.
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Profit and Loss Study Materials