Percentage — Study Notes for Bihar TET Paper I
Overview
Percentage is one of the most scoring and frequently tested topics in Bihar TET Paper I Mathematics. It forms the foundation for understanding profit-loss, discount, simple interest, and data interpretation — all of which appear in the exam. A primary-school teacher must be able to explain percentage concepts to young learners and solve standard calculation problems quickly.
The topic tests two core skills: converting between fractions, decimals, and percentages, and applying percentage concepts to real-life situations like increase, decrease, and comparison. Bihar TET typically includes 2–3 direct questions on percentage or its applications. Mastering this topic also helps in the pedagogy section when discussing how to teach commercial mathematics to children.
For exam success, focus on memorising common fraction-percentage equivalents, understanding the concept of "base value," and practising word problems involving percentage change.
Key Concepts
- **Meaning of Percent**: "Percent" means "per hundred." Writing 25% means 25 out of every 100, or 25/100.
- **Conversion Rule**: To convert percentage to fraction, divide by 100. To convert fraction to percentage, multiply by 100. For example, 3/4 = (3/4) × 100 = 75%.
- **Percentage of a Quantity**: To find x% of a number N, calculate (x/100) × N. For example, 20% of 150 = (20/100) × 150 = 30.