How to Solve Profit and Loss — Step by Step Guide

Step-by-Step Method

1. 1

   Identify the Cost Price (CP) and Selling Price (SP) from the problem.

2. 2

   If SP > CP, there is a profit. Profit = SP - CP.

3. 3

   If CP > SP, there is a loss. Loss = CP - SP.

4. 4

   Profit % = (Profit / CP) × 100. Loss % = (Loss / CP) × 100.

5. 5

   For discount: Discount = Marked Price - Selling Price. Discount % = (Discount / MP) × 100.

Worked Example

Common Mistakes to Avoid

• ✗

  Calculating profit/loss percentage on SP instead of CP.

• ✗

  Confusing Marked Price with Cost Price — they are different.

• ✗

  Not accounting for overhead expenses when calculating the effective CP.

• ✗

  Forgetting that discount is always calculated on Marked Price.

Practice Profit and Loss on SparkEd

Get free chapter-wise practice questions aligned to your board:

Frequently Asked Questions

How do I solve Profit and Loss problems?

Identify the Cost Price (CP) and Selling Price (SP) from the problem. If SP > CP, there is a profit. Profit = SP - CP.

What are common mistakes in Profit and Loss?

Calculating profit/loss percentage on SP instead of CP. Confusing Marked Price with Cost Price — they are different.

Which class covers Profit and Loss?

Profit and Loss is typically taught in Class 7, 8. SparkEd has free practice for all these grades.

Where can I practise Profit and Loss for free?

SparkEd offers free chapter-wise practice for Profit and Loss aligned to CBSE, ICSE, and IB curricula. Visit sparkedmaths.com to start.