Percentage And Its Applications
NIOS · Class 10 · Maths
Step-by-step guide to study Percentage And Its Applications in NIOS Class 10 Maths. Topics to cover, practice strategy, and time allocation.
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Learn the Theory
Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.
Practice Problems
Solve textbook exercises and additional practice questions. There are 45 questions available for this chapter.
Revise & Test
Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.
Spaced Revision
Revisit Percentage And Its Applications after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.
What to Focus On
- Percentage means 'per hundred' - always out of 100
- To convert fraction to %: multiply by 100 and add % symbol
- To convert % to fraction: divide by 100 and simplify
- x% of Q = (x/100) × Q
- Percentage = (Part/Whole) × 100
- For increase: % increase = (Increase/Original) × 100
- Profit = SP - CP, Loss = CP - SP
- Profit% and Loss% are calculated on Cost Price only
- SP = CP × (100 ± profit/loss%)/100
Common Mistakes to Avoid
In profit/loss problems, profit% and loss% are calculated on Selling Price (SP)
Discount% is calculated on Cost Price or Selling Price
Simple Interest and Compound Interest give the same result for any time period
Memory Tips
Basic percentage definition: r% = r/100
Converting fraction to percentage: multiply by 100
Converting percentage to decimal: divide by 100 (move decimal 2 places left)
Profit and Loss formula: Profit% = (SP-CP)/CP × 100
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