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IBPS PO Pie Charts

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This page covers IBPS PO Pie Charts with complete concept notes, 10 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Pie Charts— Rules & Concept

Core ConceptRead this first — the foundation of the topic

Pie charts are circular diagrams that show how a whole is divided into parts. Think of a pizza cut into slices - each slice represents a portion of the total. In SSC CGL, pie charts appear in 80% of papers, usually with 2-3 questions worth 6-9 marks.

Key RulesCore rules you must know cold

The complete circle equals 360 degrees. Each part is shown as a sector (slice). The angle of each sector is proportional to the data it represents. All sectors together must equal 360 degrees or 100%.

Formula BlockMemorise — at least one formula appears in every paper

Block:

• Central Angle = (Value/Total Value) × 360°
• Percentage = (Value/Total Value) × 100
• Value = (Central Angle/360°) × Total Value
• Ratio Formula: If angle is θ°, then ratio = θ/360
Exam PatternsWhat examiners ask — read before attempting PYQs

SSC asks three main question types. First, direct calculations from given percentages or angles. Second, comparison questions asking 'how much more' or 'what is the ratio'. Third, application problems combining pie charts with other topics like profit-loss or averages. Powerful Shortcut #1 - The 36° Rule: Since 360° = 100%, then 36° = 10%.

This means 18° = 5%, 72° = 20%, 108° = 30%. Memorize these common angle-percentage pairs to solve questions in 10 seconds. Shortcut #2 - Direct Proportion Method: Instead of calculating percentages, use direct ratios. If sector A has 60° and sector B has 120°, then B is exactly double A. No complex calculations needed.

Worked ExampleSolve this step-by-step before moving on
1
Step 1

Marketing angle = 72°

2
Step 2

Using formula: Value = (72°/360°) × 50,000

3
Step 3

= (1/5) × 50,000 = ₹10,000 Alternate Quick Method: 72° = 20% (using 36° rule), so 20% of 50,000 = ₹10,000 Worked Example 2: In a pie chart showing student preferences, Cricket gets 126°, Football gets 90°, Hockey gets 54°. What percentage more students prefer Cricket over Hockey?

1
Step 1

Cricket = 126°, Hockey = 54°

2
Step 2

Difference = 126° - 54° = 72°

3
Step 3

72° = 20% (using shortcut)

4
Step 4

Hockey percentage = 54°/360° = 15%

5
Step 5

Cricket percentage = 126°/360° = 35%

6
Step 6

Cricket is 35% - 15% = 20% more than Hockey Shortcut #3 - The Remainder Trick: When some sectors are given and you need to find the remaining sector, don't calculate each percentage. Simply subtract given angles from 360°. If three sectors are 80°, 120°, and 70°, the fourth sector is 360° - 270° = 90°. Most Common Trap - The Percentage vs Angle Confusion: Students often mix up

When to UseQuickly decide which method to apply in the exam

percentages and when to use angles. Remember: if the question gives percentages, convert to angles by multiplying by 3.6.

If it gives angles, convert to percentages by dividing by 3.6. This single mistake costs students 2-3 marks per paper. Another Critical Error: Students forget that pie charts represent parts of a whole.

You cannot add values from two different pie charts directly unless they have the same total value. Always check if the total values are same before making comparisons. Pro Tip for Complex Questions: When pie charts combine with other topics, first extract the basic values from the pie chart, then apply the second concept.

Don't try to solve everything in one step.

Key Points to Remember

  • Complete pie chart always equals 360° or 100%
  • Formula: Central Angle = (Value/Total) × 360°
  • Quick conversion: 36° = 10%, so 72° = 20%, 108° = 30%
  • Shortcut: Use direct ratios instead of calculating percentages
  • Remainder formula: Missing sector = 360° - sum of given sectors
  • Each sector angle is proportional to the data value it represents
  • Percentage to angle: multiply by 3.6, angle to percentage: divide by 3.6
  • Never directly compare values from different pie charts with different totals
  • For 'how much more' questions, find the difference in percentages or angles
  • Most questions test either direct calculation or comparison between sectors

Exam-Specific Tips

  • A complete circle has exactly 360 degrees
  • 1% of pie chart equals 3.6 degrees
  • Common sector angles: 90° = 25%, 120° = 33.33%, 180° = 50%
  • If a sector shows 15% data, its central angle is 54°
  • Two sectors with angles 40° and 80° are in ratio 1:2
  • Maximum possible sectors in a readable pie chart is typically 8-10
  • Semi-circle in pie chart represents exactly 50% of total data
  • Quarter circle (90°) represents exactly 25% of total data
Practice MCQs

Pie Charts — Practice Questions

10graded MCQs · easy to hard · full solution & trap analysis

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Practice 1medium

What is the average sales (in ₹ lakhs) per category across all six product categories?

Practice 2medium

What is the ratio of the sales of Electronics to the sales of Groceries?

Practice 3medium

What is the total sales (in ₹ lakhs) from Electronics and Clothing combined?

Practice 4medium

The sales from Furniture are what percentage more than the sales from Sports?

Practice 5medium

What is the total sales (in ₹ Lakhs) of Clothing and Furniture together?

Practice 6medium

The sales of Toys is what percent more than the sales of Sports?

Practice 7medium

What is the average sales (in ₹ Lakhs) per product category across all six categories?

Practice 8medium

If the total sales in 2024 increases by 25% compared to 2023, and Electronics maintains the same 30% share, what will be the sales of Electronics (in ₹ Lakhs) in 2024?

Practice 9medium

If the sales from Groceries increased by 25% in 2024 while all other categories remained the same, what would be the new total annual sales (in ₹ lakhs) of the company in 2024?

Practice 10medium

The ratio of sales from Electronics to the combined sales of Cosmetics and Sports is:

60-Second Revision — Pie Charts

  • Remember: 360° = 100%, so 36° = 10% for quick calculations
  • Formula: Value = (Angle/360°) × Total Value
  • Trap: Never mix percentages with angles - convert first
  • Shortcut: Use direct ratios instead of complex percentage calculations
  • Quick check: All sector angles must add up to exactly 360°
  • For comparisons: Find difference in angles, then convert to percentage if needed
  • Pro tip: Extract pie chart values first, then apply other mathematical concepts
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