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.
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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
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