Class 5 Mathematics: Percentage and Profit/Loss (Hard)

How this worksheet helps your child

• Builds confidence in core Mathematics concepts taught in Class 5 through repeated, varied practice.
• Aligned to CBSE and NCERT — questions mirror the pattern children see in school tests and unit assessments.
• Comes with an answer key so parents and students can self-check in minutes, without needing a teacher.
• Pitched at hard level — use it for daily homework, weekend revision or quick exam warm-ups.

About this worksheet

This challenging Class 5 Mathematics practice worksheet is designed to push students' understanding of percentage, profit, and loss to the next level. Tailored for the CBSE curriculum, it offers a rigorous set of problems that require more than just basic calculation; students will need to analyze problems, identify key information, and apply multiple concepts to arrive at solutions. This topic is crucial for Class 5 as it builds foundational financial literacy skills and introduces more complex mathematical reasoning, extending beyond simple arithmetic. It's ideally suited for students who have a solid grasp of fundamental percentage and profit/loss calculations and are ready to tackle advanced scenarios, preparing them for higher-order thinking frequently encountered in NCERT-aligned mathematics. This worksheet is perfect for advanced learners or as an extra challenge for all students mastering these essential concepts.

What your child will learn

• Apply percentage concepts to solve multi-step real-world problems.
• Calculate profit and loss percentages in complex financial scenarios.
• Analyze given information to determine the correct formulas for profit or loss.
• Solve problems involving discounts, overheads, and multiple transactions.
• Formulate mathematical expressions to represent given profit and loss situations.

Understanding the concept

Percentages, profit, and loss are fundamental mathematical concepts that help us understand how money changes hands and how parts relate to a whole. A 'percentage' is simply a way to express a number as a fraction of 100. For example, if a shop offers a '20% discount,' it means you save 20 out of every 100 rupees from the original price. 'Profit' occurs when something is sold for more money than it cost to acquire or produce. Imagine a shopkeeper buys a toy for 100 rupees and sells it for 120 rupees; the 20 rupees difference is their profit. Conversely, 'loss' happens when something is sold for less than its original cost. If that same toy was sold for 80 rupees, the 20 rupee difference would be a loss. These concepts are often expressed as percentages of the original cost price. Understanding these allows children to make sense of everyday financial situations, like understanding sales at a store or comprehending the cost of items.

Tips for parents & teachers

• Encourage your child to read each problem carefully, identifying what information is given and what needs to be found.
• Suggest breaking down complex problems into smaller, manageable steps before attempting to solve them.
• Review basic percentage and profit/loss formulas with your child before they start the worksheet.
• Use real-life examples, like comparing prices during sales, to illustrate the concepts in the worksheet.
• Allow your child to use rough work space; neatly organizing their steps can prevent errors.

Topics covered

How to use this worksheet at home

Open the print view and use your browser's Print dialog to print on regular A4 paper or save as a PDF. Hand the printed sheet to your child (Class 5) and set a relaxed time limit — 15 to 25 minutes works for most Mathematics worksheets. When they're done, open the "With answer key" view and let them self-mark question by question. Re-print as many times as you need; the file never expires and there's no download limit.

Frequently asked questions

Is this Mathematics worksheet really free?

Yes — every workbook on WorkbookWala is 100% free to download and print. No login, no email, no paywall. We're free for students, parents and teachers.

Is it aligned to the CBSE / NCERT syllabus?

Yes. All Class 5 worksheets are built around the CBSE and NCERT pattern so they map cleanly to what your child is studying in school.

Can I print this worksheet at home?

Yes. Click "Open print view" and use your browser's Print dialog to print on standard A4 paper, or save it as a PDF for later. The layout is designed to fit cleanly without scaling.

Does it include an answer key?

Yes — click "With answer key" to print a version with answers included, so parents and students can self-mark in minutes.