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SSC CHSL Pie Charts

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This page covers SSC CHSL Pie Charts with complete concept notes, 27 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

27graded MCQs · easy to hard · full solution & trap analysis · showing 20 of 27

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Practice 1easy

What is the ratio of sales of Electronics to Sports & Outdoors?

Practice 2easy

If the sales of Toys & Games category is ₹300 lakhs, what is the total annual sales (in lakhs)?

Practice 3easy

What is the ratio of Home & Kitchen sales to Others sales?

Practice 4easy

What is the sales value (in lakhs) of the Electronics category?

Practice 5easy

What is the sales value (in lakhs) of the Electronics category?

Practice 6easy

What is the combined sales value (in lakhs) of Clothing and Books & Media categories?

Practice 7easy

If the company's total sales increase by 20% next year, what will be the new sales value (in lakhs) of the Clothing category, assuming the same percentage distribution?

Practice 8easy

By what percentage is the sales of Home & Kitchen category more than Toys & Games category?

Practice 9medium

The combined production of Chemicals and Machinery is what percentage more than Textiles production?

Practice 10medium

What is the ratio of revenue from Clothing to Home & Garden categories?

Practice 11medium

The combined revenue from Sports & Outdoors and Books & Media is what percentage more than Clothing revenue?

Practice 12medium

If the revenue from Electronics increases by 25%, what will be the new revenue from Electronics?

Practice 13medium

How many units of Electronics were produced?

Practice 14medium

If the production of Machinery increases by 25%, how many additional units would be produced?

Practice 15medium

What is the average production (in units) across Electronics, Textiles, and Chemicals categories?

Practice 16medium

What is the ratio of Textiles production to Packaging production?

Practice 17medium

What is the revenue generated from the Electronics category?

Practice 18hard

If Unit A's production increases by 20% next year and Unit E's production remains the same, what will be the new combined production of Unit A and Unit E?

Practice 19hard

What is the ratio of production of Unit D to Unit B?

Practice 20hard

Pharmaceuticals division's production is what percentage more than Food & Beverage division's production?

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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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