NCERT Solutions for Class 8 Mathematics Chapter Fractions in Disguise

This worksheet provides complete and accurate NCERT Solutions for Chapter "Fractions in Disguise" for Class 8 Mathematics. The chapter focuses on understanding percentages as fractions with a denominator of 100, how to express fractions as percentages, and how to solve various problems involving percentage calculations. It also delves into the relationship between fractions, decimals, and percentages, and emphasizes their use in real-life scenarios such as calculating profits, losses, and tax rates.

Understanding this chapter is crucial for students as it forms the foundation for more advanced mathematical concepts, especially in areas such as data interpretation, business mathematics, and financial literacy. The worksheet ensures that students have a thorough grasp of the chapter through detailed solutions, making it a valuable tool for revision and exam preparation.

This worksheet contains step-by-step solutions to every exercise in the chapter, helping students develop confidence in solving problems related to percentages, fractions, and ratios. Each answer follows the structure and format as prescribed by the NCERT curriculum, ensuring complete alignment with the guidelines.

Chapter summary: stories, poems & themes

The chapter does not contain any stories or poems but rather focuses on practical mathematical applications of percentages and fractions. It uses real-life scenarios like calculating sugar content in biscuits, determining sales discounts, and assessing population growth to explain the concept of percentages. Students learn how to apply fractions and percentages in contexts such as shopping discounts, profit calculations, and more.

What this NCERT chapter covers?

• Converting fractions to percentages and vice versa  
• Expressing a fraction as a percentage  
• Solving percentage-based problems  
• Using percentages to find quantities in real-world scenarios  
• Understanding profit and loss using percentages  
• Percentage increase and decrease in various contexts

How to use these NCERT solutions?

Before checking the answers, students should first attempt to solve the problems on their own. This helps reinforce learning and ensures that they grasp the underlying concepts. Once they’ve attempted the questions, they can refer to the solutions to understand the correct method and approach. Teachers and parents can use these solutions to monitor students’ progress, ensuring that they’re following the NCERT structure, which is essential for exams. The solutions are organized in a way that aligns with the chapter’s sequence, making them ideal for quick revision.

Student tips & learning tricks

• Always convert fractions into percentages when solving percentage-related problems.  
• Understand that percentage increase or decrease is calculated based on the original value.  
• In real-life problems, set up proportional relationships to make calculations easier.  
• Practice mental math to estimate percentages quickly, improving efficiency during exams.  
• Ensure you understand the relationship between fractions, decimals, and percentages for better accuracy.

Why NCERT solutions are important?

NCERT-aligned solutions ensure that students build a strong foundation in fundamental mathematical concepts, which is essential for their academic growth. The structured approach of these solutions helps students understand the reasoning behind each step, improving problem-solving skills. Additionally, the solutions help boost confidence and prepare students for assessments by reinforcing key concepts.

Complete answer key – NCERT solutions

Let us speak

1. A fraction of a quantity can be converted into a percentage by multiplying the fraction by 100.
2. Solving problems related to percentages like profit and loss, and percentage increase can be done by using fractions.

Let us read

1. Convert the fraction 3/4 into a percentage: 75%.  
2. Convert 25% into a fraction: 25/100 or 1/4.  

Let us write

1. Express 5/8 as a percentage: 62.5%.  
2. What is the percentage profit if the cost price is ₹400 and the selling price is ₹500? The profit is ₹100, and the profit percentage is 25%.

Let us solve

1. Surya mixed 3/4 red paint with yellow paint. What percentage of the mixture is red? Answer: 75%.  
2. What is 35% of ₹500? Answer: ₹175.

Get the most out of your learning with complete NCERT solutions for Class 8 Mathematics, Chapter Fractions in Disguise.

Book a free trial!