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Pie Chart Interpretation

Introduction

Pie Chart Interpretation tests your ability to read parts of a whole represented as sectors (percentages or angles). This pattern is frequently tested because many reports summarise category shares using pie charts.

Typical tasks include finding the value represented by a sector, comparing shares, computing missing percentages, or converting angles ↔ percentages.

Pattern: Pie Chart Interpretation

Pattern

Key concept: A pie represents a whole (100% or 360°). Convert between value, percentage and angle as needed.

Value = (Given % × Total) ÷ 100
Angle (°) = (Given % × 360) ÷ 100
% = (Angle ÷ 360) × 100

Step-by-Step Example

Question

The pie chart below shows department-wise budget distribution for a project. Total budget = ₹240,000. Shares: Marketing = 25%, R&D = 35%, Operations = 20%, Miscellaneous = 20%.
Find: Amount allocated to R&D.

Solution

  1. Step 1: Identify given percentage and total budget.

    R&D share = 35% of total budget ₹240,000.

  2. Step 2: Apply the value formula.

    Value = (35 × ₹240,000) ÷ 100 = ₹84,000.

  3. Final Answer:

    ₹84,000

  4. Quick Check:

    Sum of sector values = 60,000 + 84,000 + 48,000 + 48,000 = ₹240,000 → matches total ✔️

Quick Variations

1. Sector given as angle → convert to % using % = (angle ÷ 360) × 100, then compute value.

2. Missing sector → subtract known shares from 100%.

3. Mixed charts (pie + table) → use table totals with pie percentages.

4. Reverse questions → find % or angle when value is given.

Trick to Always Use

  • Step 1: Check that sectors total 100% (or 360°).
  • Step 2: Convert angle ↔ percentage before computing values.
  • Step 3: Use Value = (Given % × Total) ÷ 100 and only round at the end.

Summary

Summary

  • Identify whether values are given as angles, percentages or actual numbers.
  • Convert between angles and percentages before calculating category values.
  • Always ensure the pie chart totals to the whole (100% or 360°).
  • Perform a quick sum check to verify the distribution is consistent.

Example to remember:
“Percent → value: multiply by total and divide by 100; Angle → percent: divide by 360 and × 100.”

Practice

(1/5)
1.

The pie chart below shows the expenditure distribution (in %) of a company. If the total expenditure is ₹8,00,000, find the amount spent on Marketing.

Segments: Marketing = 25%, Operations = 20%, Salaries = 35%, Miscellaneous = 20%.

easy
A. ₹2,00,000
B. ₹1,60,000
C. ₹2,80,000
D. ₹1,40,000

Solution

  1. Step 1: Identify total and required percentage

    Total expenditure = ₹8,00,000; Marketing share = 25%.

  2. Step 2: Compute the amount for Marketing

    Amount = (25 × 8,00,000) ÷ 100 = ₹2,00,000.

  3. Final Answer:

    → Option A

  4. Quick Check:

    25% of 8,00,000 = 2,00,000 ✅

Hint: Multiply total by (percentage ÷ 100).
Common Mistakes: Forgetting to divide by 100 after multiplying by percent.
2.

The pie chart shows allocation of annual income of a person. Total annual income = ₹6,00,000. What is the amount saved?

Segments: Rent = 30%, Food = 25%, Savings = 15%, Others = 30%.

easy
A. ₹80,000
B. ₹85,000
C. ₹1,00,000
D. ₹90,000

Solution

  1. Step 1: Identify total income and savings %

    Total annual income = ₹6,00,000; Savings = 15%.

  2. Step 2: Compute savings amount

    Amount saved = (15 × 6,00,000) ÷ 100 = ₹90,000.

  3. Final Answer:

    → Option D

  4. Quick Check:

    0.15 × 6,00,000 = 90,000 ✅

Hint: Compute percentage of the total directly.
Common Mistakes: Mixing up percentages or units.
3.

The pie chart below shows the percentage of students choosing different sports in a school. If 720 students were surveyed, how many preferred Football?

Segments: Cricket = 30%, Football = 20%, Basketball = 15%, Others = 35%.

easy
A. 120
B. 144
C. 150
D. 160

Solution

  1. Step 1: Identify total surveyed and Football %

    Total surveyed = 720 students; Football share = 20%.

  2. Step 2: Compute number of students preferring Football

    Number = (20 × 720) ÷ 100 = 144 students.

  3. Final Answer:

    → Option B

  4. Quick Check:

    0.20 × 720 = 144 ✅

Hint: Multiply total by (percentage ÷ 100).
Common Mistakes: Rounding prematurely or misreading percentage.
4.

The pie chart below shows the distribution of total sales (in %) among five products. Total sales = ₹12,00,000. Find the total sales of Products A and B.

Segments: A = 20%, B = 25%, C = 15%, D = 15%, E = 25%.

medium
A. ₹4,00,000
B. ₹5,00,000
C. ₹5,40,000
D. ₹4,80,000

Solution

  1. Step 1: Identify totals and combined percentage

    Total sales = ₹12,00,000; A = 20%, B = 25% → combined = 45%.

  2. Step 2: Compute combined amount for A and B

    Amount = (45 × 12,00,000) ÷ 100 = ₹5,40,000.

  3. Final Answer:

    → Option C

  4. Quick Check:

    0.45 × 12,00,000 = 5,40,000 ✅

Hint: Add required percentages first, then apply to total.
Common Mistakes: Rounding to nearest option before computing actual value.
5.

The pie chart shows the population (in %) of a city divided among different areas. If the total population is 9,00,000, what is the difference between populations of East (35%) and West (20%)?

medium
A. 1,20,000
B. 1,35,000
C. 1,40,000
D. 1,25,000

Solution

  1. Step 1: Find percent difference

    Difference = East (35%) - West (20%) = 15%.

  2. Step 2: Apply percentage to total population

    Difference = (15 × 9,00,000) ÷ 100 = 1,35,000 people.

  3. Final Answer:

    1,35,000 people → Option B

  4. Quick Check:

    0.15 × 9,00,000 = 1,35,000 → matches calculation ✅

Hint: Compute percent difference first, then multiply by the total population.
Common Mistakes: Using currency symbols for population; rounding or mixing up regions.

Mock Test

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