Pie Chart Questions for Competitive Exams

Pie Chart Questions for Competitive Exams

What is a Pie Chart?
A pie chart is a circular diagram divided into sectors, where each sector represents a proportion of the total. It’s commonly used to show percentages, ratios, or market shares.

Tips to Solve Pie Chart Questions:

  1. Total value = 100% or sum of all data points.
  2. Use the formula: Value represented by sector = (Percentage ÷ 100) × Total
  3. Look for ratios, differences, and comparisons.
  4. Convert angles to percentages if needed: Angle of sector = (Percentage × 360°)/100

Top 25 Pie Chart Questions

Caselet 1: Company Sales by Product

A company sells four products: A, B, C, D. Sales distribution (in %) is: A = 25%, B = 35%, C = 20%, D = 20%. Total sales = ₹1,00,000.

Questions:

  1. Sales revenue of Product A?
  2. Sales revenue of Product C?
  3. Combined sales of B and D?

Caselet 2: Students’ Branch Distribution

A college has 600 students. Branch distribution: CS = 30%, IT = 25%, EE = 20%, ME = 25%.

Questions:
4. Number of CS students?
5. Number of IT + ME students?
6. Number of EE students?

Caselet 3: Monthly Expenditure

A person spends on Rent = 40%, Food = 25%, Travel = 15%, Entertainment = 10%, Misc = 10% of total monthly expenditure ₹50,000.

Questions:
7. Amount spent on Rent?
8. Amount spent on Travel and Entertainment together?
9. Amount left for Misc?

Caselet 4: Market Share of Companies

Market share of four companies: P = 20%, Q = 30%, R = 25%, S = 25%. Total market = ₹5 crore.

Questions:
10. Revenue of Company Q?
11. Combined revenue of P and R?
12. Company with least revenue?

Caselet 5: Population Distribution by Age

Population of a town = 50,000. Age distribution: 0–14 = 20%, 15–30 = 30%, 31–50 = 35%, 51+ = 15%.

Questions:
13. Number of people aged 31–50?
14. Number of children aged 0–14?
15. Number of adults aged 15–50?

Caselet 6: Monthly Sales by Region

A company’s sales in regions: North = 30%, South = 20%, East = 25%, West = 25%. Total sales = ₹2,00,000.

Questions:
16. Sales in South region?
17. Combined sales of East and West?
18. Difference between North and South sales?

Caselet 7: Students Passing Exams

Total students = 500. Pass distribution in subjects: Math = 60%, Science = 50%, English = 40%, History = 30%.

Questions:
19. Students passed in Math?
20. Students passed in English and History together?
21. Difference between Science and History pass students?

Caselet 8: Company Expenses

Company spends: Salary = 50%, Rent = 20%, Marketing = 15%, Misc = 15%. Total expenses = ₹8,00,000.

Questions:
22. Amount spent on Marketing?
23. Salary expenditure?
24. Combined Rent and Misc expenditure?

Caselet 9: Students’ Preferences

Students prefer extracurricular activities: Sports = 40%, Music = 25%, Art = 20%, Drama = 15%. Total students = 400.

Questions:
25. Students who prefer Sports?
26. Students who prefer Art and Drama together?
27. Difference between Sports and Music preferences?

Caselet 10: Vehicle Types in a City

City vehicles: Cars = 30%, Bikes = 40%, Buses = 15%, Trucks = 15%. Total vehicles = 50,000.

Questions:
28. Number of Bikes?
29. Number of Trucks?
30. Combined Cars and Buses?

Caselet 11: Product Revenue Share

Revenue distribution: X = 35%, Y = 25%, Z = 20%, W = 20%. Total revenue = ₹10,00,000.

Questions:
31. Revenue from Y?
32. Combined revenue from Z and W?
33. Difference between X and Y?

Caselet 12: Website Traffic by Source

Traffic sources: Direct = 25%, Search = 40%, Social = 20%, Referral = 15%. Total visitors = 80,000.

Questions:
34. Visitors from Search?
35. Combined Direct and Referral visitors?
36. Difference between Search and Social visitors?

Caselet 13: Population by Gender

Town population = 60,000. Male = 55%, Female = 45%.

Questions:
37. Number of males?
38. Number of females?
39. Difference between male and female population?

Caselet 14: Students by Grade

Grades: A = 20%, B = 35%, C = 25%, D = 20%. Total students = 400.

Questions:
40. Students with Grade B?
41. Students with Grades A and D together?
42. Students with Grade C?

Caselet 15: Sales by Product Category

Product sales: Electronics = 40%, Furniture = 30%, Clothing = 20%, Others = 10%. Total sales = ₹3,00,000.

Questions:
43. Electronics sales revenue?
44. Combined Furniture and Clothing sales?
45. Difference between Electronics and Others?

Answer

Answers: Pie Chart Questions (Top 25 Caselets)

Caselet 1: Company Sales by Product

Total Sales = ₹1,00,000

  1. Product A = 25% of 1,00,000 = 0.25 × 1,00,000 = ₹25,000 ✅
  2. Product C = 20% of 1,00,000 = 0.2 × 1,00,000 = ₹20,000 ✅
  3. B + D = 35% + 20% = 55% → 0.55 × 1,00,000 = ₹55,000 ✅

Caselet 2: Students’ Branch Distribution

Total students = 600

  1. CS students = 30% of 600 = 0.3 × 600 = 180 ✅
  2. IT + ME students = 25% + 25% = 50% → 0.5 × 600 = 300 ✅
  3. EE students = 20% of 600 = 0.2 × 600 = 120 ✅

Caselet 3: Monthly Expenditure

Total expenditure = ₹50,000

  1. Rent = 40% × 50,000 = 0.4 × 50,000 = ₹20,000 ✅
  2. Travel + Entertainment = (15% + 10%) × 50,000 = 25% × 50,000 = ₹12,500 ✅
  3. Misc = 10% × 50,000 = 0.1 × 50,000 = ₹5,000 ✅

Caselet 4: Market Share of Companies

Total market = ₹5,00,00,000

  1. Company Q = 30% × 5,00,00,000 = 1,50,00,000 ✅
  2. P + R = (20% + 25%) × 5,00,00,000 = 45% × 5,00,00,000 = 2,25,00,000 ✅
  3. Least revenue = P = 20% → ₹1,00,00,000 ✅

Caselet 5: Population Distribution by Age

Total = 50,000

  1. Age 31–50 = 35% × 50,000 = 17,500 ✅
  2. Age 0–14 = 20% × 50,000 = 10,000 ✅
  3. Age 15–50 = 30% + 35% = 65% → 0.65 × 50,000 = 32,500 ✅

Caselet 6: Monthly Sales by Region

Total sales = ₹2,00,000

  1. South = 20% × 2,00,000 = ₹40,000 ✅
  2. East + West = 25% + 25% = 50% → 0.5 × 2,00,000 = ₹1,00,000 ✅
  3. North − South = 30% − 20% = 10% → 0.1 × 2,00,000 = ₹20,000 ✅

Caselet 7: Students Passing Exams

Total students = 500

  1. Math = 60% × 500 = 300 ✅
  2. English + History = 40% + 30% = 70% → 0.7 × 500 = 350 ✅
  3. Science − History = 50% − 30% = 20% → 0.2 × 500 = 100 ✅

Caselet 8: Company Expenses

Total = ₹8,00,000

  1. Marketing = 15% × 8,00,000 = ₹1,20,000 ✅
  2. Salary = 50% × 8,00,000 = ₹4,00,000 ✅
  3. Rent + Misc = (20% + 15%) × 8,00,000 = 35% × 8,00,000 = ₹2,80,000 ✅

Caselet 9: Students’ Preferences

Total = 400

  1. Sports = 40% × 400 = 160 ✅
  2. Art + Drama = 20% + 15% = 35% → 0.35 × 400 = 140 ✅
  3. Sports − Music = 40% − 25% = 15% → 0.15 × 400 = 60 ✅

Caselet 10: Vehicle Types in a City

Total = 50,000

  1. Bikes = 40% × 50,000 = 20,000 ✅
  2. Trucks = 15% × 50,000 = 7,500 ✅
  3. Cars + Buses = 30% + 15% = 45% → 0.45 × 50,000 = 22,500 ✅

Caselet 11: Product Revenue Share

Total revenue = ₹10,00,000

  1. Y = 25% × 10,00,000 = ₹2,50,000 ✅
  2. Z + W = 20% + 20% = 40% → 0.4 × 10,00,000 = ₹4,00,000 ✅
  3. X − Y = 35% − 25% = 10% → 0.1 × 10,00,000 = ₹1,00,000 ✅

Caselet 12: Website Traffic by Source

Total visitors = 80,000

  1. Search = 40% × 80,000 = 32,000 ✅
  2. Direct + Referral = 25% + 15% = 40% → 0.4 × 80,000 = 32,000 ✅
  3. Search − Social = 40% − 20% = 20% → 0.2 × 80,000 = 16,000 ✅

Caselet 13: Population by Gender

Total = 60,000

  1. Males = 55% × 60,000 = 33,000 ✅
  2. Females = 45% × 60,000 = 27,000 ✅
  3. Difference = 33,000 − 27,000 = 6,000 ✅

Caselet 14: Students by Grade

Total = 400

  1. Grade B = 35% × 400 = 140 ✅
  2. Grade A + D = 20% + 20% = 40% → 0.4 × 400 = 160 ✅
  3. Grade C = 25% × 400 = 100 ✅

Caselet 15: Sales by Product Category

Total sales = ₹3,00,000

Electronics − Others = 40% − 10% = 30% → 0.3 × 3,00,000 = ₹90,000 ✅

Electronics = 40% × 3,00,000 = ₹1,20,000 ✅

Furniture + Clothing = 30% + 20% = 50% → 0.5 × 3,00,000 = ₹1,50,000 ✅