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Chapter 8 of 26
Chapter Summary

Percentage And Its Applications

NIOS · Class 10 · Maths

Summary of Percentage And Its Applications for NIOS Class 10 Maths. Key concepts, important points, and chapter overview.

45 questions20 flashcards5 concepts

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Overview

Percentage is a fundamental mathematical concept that means 'per hundred' and is denoted by the symbol %. It is widely used in daily life for comparing quantities, calculating profits and losses, determining discounts, computing interest, and measuring growth or depreciation. The word 'percent' come

Key Concepts

Percentage means per hundred

Percentage means per hundred. r% = r/100. For example, 25% = 25/100 = 1/4. It's a way to express a part of a whole as a fraction with denominator 100.

Fraction to %

Fraction to %: Multiply by 100. % to fraction: Divide by 100 and simplify. Decimal to %: Move decimal 2 places right. % to decimal: Move decimal 2 pla

To find x% of quantity Q

To find x% of quantity Q: (x/100) × Q. Example: 15% of 200 = (15/100) × 200 = 30. Also used to find what percent one quantity is of another.

Profit% = (Profit/CP) × 100

Profit% = (Profit/CP) × 100, Loss% = (Loss/CP) × 100. SP = CP × (100 + Profit%)/100 for profit. SP = CP × (100 - Loss%)/100 for loss. Always calculate

Discount is reduction on Marked Price

Discount is reduction on Marked Price (MP). SP = MP - Discount = MP × (100 - Discount%)/100. Discount% = (Discount/MP) × 100. For successive discounts

Learning Objectives

  • Understand the concept of percentage and its relationship with fractions and decimals
  • Convert between percentages, fractions, and decimals accurately
  • Calculate percentage of a quantity and solve related word problems
  • Apply percentage concepts to profit and loss calculations
  • Understand and calculate discounts and marked prices

Frequently Asked Questions

What are the important topics in Percentage And Its Applications for NIOS Class 10 Maths?
Percentage And Its Applications covers several key topics that are frequently asked in NIOS Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Percentage And Its Applications — NIOS Class 10 Maths?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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