Complete Resource of NCERT Solutions Maths Chapter 7 Class 8 - Free PDF Download
FAQs on NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities
1. What are NCERT Solutions for Class 8 Maths Chapter 7 'Comparing Quantities' as per the CBSE 2025-26 syllabus?
NCERT Solutions for Class 8 Maths Chapter 7 provide stepwise answers to all textbook questions on topics like ratios, percentages, profit and loss, simple interest, and compound interest. These solutions follow the latest CBSE 2025–26 pattern to help students understand concepts and improve exam performance.
2. How should students approach solving ratio problems in NCERT Solutions for Class 8 Maths Chapter 7?
To solve ratio problems in Chapter 7:
- Ensure both quantities have the same units.
- Convert units where needed (e.g., metres to kilometres).
- Divide one quantity by the other and simplify to the lowest terms.
- Express the final ratio with a colon, such as 1:2.
3. What is the stepwise method to convert a ratio into a percentage using CBSE-style NCERT Solutions?
- Divide the first number by the second to get a fraction (e.g., 3:4 → 3/4).
- Multiply the fraction by 100.
- Write the answer with a percentage sign (e.g., 3/4 × 100 = 75%).
4. How are practical applications like discount and profit & loss covered in Class 8 Maths NCERT Solutions?
NCERT Solutions provide stepwise calculation methods using formulas:
- Profit or Loss % = (Profit or Loss / Cost Price) × 100.
- Discount = Marked Price – Sale Price.
- Solutions explain each step and relate calculations to real-world shopping, sales, and tax problems for deeper understanding.
5. What is the difference between Simple Interest and Compound Interest in Chapter 7 NCERT Solutions?
Simple Interest is calculated only on the original principal for the full period, using the formula: SI = (P × R × T)/100. Compound Interest is calculated on the principal plus the interest added at each period, using: CI = Principal × [(1 + Rate/100)n – 1]. NCERT Solutions provide solved examples for both types with clear steps.
6. What are the most common mistakes students make in solving 'Comparing Quantities' NCERT Solutions, and how can they avoid them?
Common errors include:
- Not converting units to the same base before calculation.
- Incorrectly calculating or applying percentage formulas.
- Confusing Cost Price with Selling Price in profit/loss problems.
- Mixing up Simple Interest with Compound Interest methods.
7. What rules should be followed for comparing two quantities according to Class 8 Maths Chapter 7 NCERT Solutions?
Key rules:
- Quantities must have the same units before comparison.
- Always reduce the ratio or percentage to its simplest form.
- Use appropriate comparison tools such as ratios, percentages, or proportions as per the question.
8. How do NCERT Solutions explain the calculation of increase or decrease in percentage in Class 8 Maths Chapter 7?
NCERT Solutions use the formula: Percentage Change = [(Final Value – Initial Value) / Initial Value] × 100. Each step is shown with substitution of values and final simplification, matching CBSE exam requirements.
9. How many exercises are included in Chapter 7 'Comparing Quantities' as per the CBSE 2025–26 textbook, and what do they cover?
There are typically three main exercises (7.1, 7.2, 7.3) in Chapter 7.
- Exercise 7.1: Ratios and basic comparisons.
- Exercise 7.2: Percentages, profit/loss, and related word problems.
- Exercise 7.3: Simple and compound interest calculations.
10. What is the significance of the conversion period in compound interest calculations, as explained in NCERT Solutions for Class 8 Chapter 7?
The conversion period is the time after which compound interest is added to the principal to form a new principal. In Chapter 7, this is important for problems involving annual or half-yearly compounding. NCERT Solutions specify how the period affects the formula and total interest earned.
11. What is meant by ‘overhead expenses’ in the context of Class 8 Maths NCERT Solutions Chapter 7?
Overhead expenses are additional costs incurred after purchasing an article (like transport, tax, installation), which are included in the total cost price before calculating profit or loss. NCERT Solutions cover how to incorporate these when solving problems on pricing and profit/loss.
12. How do NCERT Solutions for Chapter 7 help students prepare for real-life applications of comparing quantities?
By providing practice questions on shopping discounts, sales tax, GST, interest rates, and population growth, NCERT Solutions link every concept to common real-life scenarios, helping students build practical financial literacy as per the CBSE syllabus focus.
13. What is the importance of using bar charts or similar graphs in 'Comparing Quantities', as reflected in NCERT Solutions?
Bar charts or other graphs help visualize differences or trends between quantities, making comparisons clear and data interpretation easier. NCERT Solutions occasionally reference charts for questions involving large data sets or grouped comparisons, supporting conceptual clarity.
14. Why is mastering conversion between percentages, fractions, and decimals vital in Class 8 Chapter 7 NCERT Solutions?
Mastering these conversions is crucial because many questions require switching between percentages, decimals, and fractions for calculations in ratios, interest, and profit/loss. NCERT Solutions frequently demonstrate such conversions, as CBSE exams often test this flexibility.
15. How do NCERT Solutions ensure clarity in each answer for Class 8 Maths Chapter 7 'Comparing Quantities'?
Each NCERT Solution shows:
- All calculation steps in logical order
- Clear substitution of known values
- Relevant formulas highlighted
- Final answer presented in CBSE-recommended format

















