17 questions from actual SBI Clerk papers · all shown free · click option to reveal solution
Basic Percentage is the foundation of all percentage problems in SSC CGL. It measures parts per hundred. The word 'percent' comes from Latin 'per centum' meaning 'by hundred'. Understanding this concept is crucial as it appears in 2-3 questions in every SSC CGL paper. Core Concept: Percentage is a way to express a fraction with denominator 100. When you say 25%, it means 25 out of 100 parts. Think of it as cutting a pie into 100 equal slices and taking some of them.
First, percentage is always calculated on a base value. Second, 100% means the complete quantity. Third, percentages can exceed 100% when the part is larger than the whole. Fourth, percentage change and percentage of a number are different concepts.
Shortcut 1 - Common Percentage Conversions: • 50% = 1/2, 25% = 1/4, 20% = 1/5, 10% = 1/10 • 33.33% = 1/3, 66.67% = 2/3, 12.5% = 1/8, 16.67% = 1/6 Memorize these to solve faster without calculations
• For 15% of any number: Take 10% + 5% • For 35% of any number: Take 30% + 5% • Break complex percentages into easier chunks
Convert percentage to decimal: 24% = 24/100 = 0.24
Multiply: 850 × 0.24
Break it down: 850 × 0.24 = 850 × (20/100 + 4/100)
Calculate: 850 × 0.20 = 170, and 850 × 0.04 = 34
Add: 170 + 34 = 204 Answer: 24% of 850 = 204 Worked Example 2: What percentage is 156 of 240?
Use formula: Percentage = (Part/Whole) × 100
Substitute values: (156/240) × 100
Simplify fraction: 156/240 = 13/20 (dividing by 12)
Convert to decimal: 13/20 = 0.65
Multiply by 100: 0.65 × 100 = 65% Answer: 156 is 65% of 240 Shortcut 3 - The Unitary Method for Percentages: If x% = y, then 1% = y/x, and 100% = (y × 100)/x This eliminates complex calculations in competitive exams.
- The #1 Trap: Students confuse 'percentage of' with 'percentage more than'. For example, if A is 20% of B, it does NOT mean A is 20% more than B. '20% of B' means A = 0.20 × B. But '20% more than B' means A = B + 0.20 × B = 1.20 × B.
This confusion costs precious marks in exams. Another frequent error is forgetting to convert percentage back to the required form. Always check if the answer needs to be in percentage, decimal, or fraction format.