Questions on percentage and degree breakdowns.
45 solved questions · 17 easy · 19 medium · 9 hard
Take a 10-question quiz on Pie Charts, no loginTry each one first, then open the answer and the step-by-step solution.
Monthly income of a family is ₹60,000, spent as follows (values read from a pie chart):
| Item | Share (%) |
|---|---|
| Rent | 25 |
| Food | 30 |
| Education | 15 |
| Transport | 10 |
| Savings | 20 |
How much does the family spend on food each month?
Answer: A. ₹18,000
Solution
Food = 30% of ₹60,000 = 0.30 x 60,000 = ₹18,000 Answer: ₹18,000
Monthly income of a family is ₹60,000, spent as follows (values read from a pie chart):
| Item | Share (%) |
|---|---|
| Rent | 25 |
| Food | 30 |
| Education | 15 |
| Transport | 10 |
| Savings | 20 |
What is the central angle of the sector for Rent?
Answer: B. 90°
Solution
Angle = 25% of 360 = 0.25 x 360 = 90 degrees Answer: 90°
Shortcut: 1% = 3.6 degrees, so 25% = 90 degrees.
1,800 students chose one of five subjects. The central angles of the pie chart are:
| Subject | Angle (degrees) |
|---|---|
| A | 72 |
| B | 108 |
| C | 54 |
| D | 90 |
| E | 36 |
What percentage of the students chose subject A?
Answer: B. 20%
Solution
Share = 72/360 x 100 = 20% Answer: 20%
1,800 students chose one of five subjects. The central angles of the pie chart are:
| Subject | Angle (degrees) |
|---|---|
| A | 72 |
| B | 108 |
| C | 54 |
| D | 90 |
| E | 36 |
How many students chose subject B?
Answer: C. 540
Solution
B = 108/360 x 1800 = 0.3 x 1800 = 540 Answer: 540
Revenue of two companies by product, values read from two pie charts. Total revenue of X = ₹4,00,000; of Y = ₹6,00,000.
| Product | X (%) | Y (%) |
|---|---|---|
| Mobiles | 30 | 20 |
| Laptops | 25 | 30 |
| Tablets | 15 | 10 |
| Accessories | 20 | 25 |
| Others | 10 | 15 |
What is X's revenue from Mobiles?
Answer: C. ₹1,20,000
Solution
30% of 4,00,000 = 0.30 x 4,00,000 = ₹1,20,000 Answer: ₹1,20,000
Revenue of two companies by product, values read from two pie charts. Total revenue of X = ₹4,00,000; of Y = ₹6,00,000.
| Product | X (%) | Y (%) |
|---|---|---|
| Mobiles | 30 | 20 |
| Laptops | 25 | 30 |
| Tablets | 15 | 10 |
| Accessories | 20 | 25 |
| Others | 10 | 15 |
What is Y's revenue from Laptops?
Answer: D. ₹1,80,000
Solution
30% of 6,00,000 = ₹1,80,000 Answer: ₹1,80,000
The 2,40,000 working people of a town by occupation (values read from a pie chart):
| Occupation | Share (%) |
|---|---|
| Farmers | 35 |
| Traders | 20 |
| Government jobs | 15 |
| Private jobs | 25 |
| Others | 5 |
How many people have private jobs?
Answer: D. 60,000
Solution
25% of 2,40,000 = 60,000 Answer: 60,000
The 2,40,000 working people of a town by occupation (values read from a pie chart):
| Occupation | Share (%) |
|---|---|
| Farmers | 35 |
| Traders | 20 |
| Government jobs | 15 |
| Private jobs | 25 |
| Others | 5 |
What is the central angle of the sector for Farmers?
Answer: A. 126°
Solution
35% of 360 = 0.35 x 360 = 126 degrees Answer: 126°
72,000 valid votes were polled among four candidates. The pie chart angles are:
| Candidate | Angle (degrees) |
|---|---|
| A | 144 |
| B | 108 |
| C | 72 |
| D | 36 |
What percentage of the votes did candidate C get?
Answer: A. 20%
Solution
72/360 x 100 = 20% Answer: 20%
72,000 valid votes were polled among four candidates. The pie chart angles are:
| Candidate | Angle (degrees) |
|---|---|
| A | 144 |
| B | 108 |
| C | 72 |
| D | 36 |
How many votes did candidate B get?
Answer: B. 21,600
Solution
B = 108/360 x 72,000 = 0.3 x 72,000 = 21,600 Answer: 21,600
Total sales of a bookshop in a month were ₹2,50,000, distributed as below (values read from a pie chart):
| Category | Share (%) |
|---|---|
| Fiction | 28 |
| Textbooks | 36 |
| Comics | 15 |
| Stationery | 12 |
| Others | 9 |
What were the sales of Textbooks?
Answer: B. ₹90,000
Solution
36% of 2,50,000 = 0.36 x 2,50,000 = ₹90,000 Answer: ₹90,000
Total sales of a bookshop in a month were ₹2,50,000, distributed as below (values read from a pie chart):
| Category | Share (%) |
|---|---|
| Fiction | 28 |
| Textbooks | 36 |
| Comics | 15 |
| Stationery | 12 |
| Others | 9 |
What is the central angle of the Comics sector?
Answer: C. 54°
Solution
15% of 360 = 54 degrees Answer: 54°
How a student spends a 24-hour day (central angles read from a pie chart):
| Activity | Angle (degrees) |
|---|---|
| Sleep | 120 |
| College | 90 |
| Study | 60 |
| Leisure | 45 |
| Travel and others | 45 |
How many hours does the student sleep?
Answer: C. 8
Solution
Sleep = 120/360 x 24 = 8 hours Answer: 8
Shortcut: 1 hour = 15 degrees, so 120 degrees = 8 hours.
How a student spends a 24-hour day (central angles read from a pie chart):
| Activity | Angle (degrees) |
|---|---|
| Sleep | 120 |
| College | 90 |
| Study | 60 |
| Leisure | 45 |
| Travel and others | 45 |
What percentage of the day is spent in College?
Answer: D. 25%
Solution
90/360 x 100 = 25% Answer: 25%
Total expenditure of a company in 2022 was ₹60 lakh (values read from a pie chart):
| Head | Share (%) |
|---|---|
| Salaries | 40 |
| Raw material | 25 |
| Rent | 10 |
| Marketing | 15 |
| Miscellaneous | 10 |
How much was spent on Raw material (₹ lakh)?
Answer: D. 15
Solution
25% of 60 = ₹15 lakh Answer: 15
Total expenditure of a company in 2022 was ₹60 lakh (values read from a pie chart):
| Head | Share (%) |
|---|---|
| Salaries | 40 |
| Raw material | 25 |
| Rent | 10 |
| Marketing | 15 |
| Miscellaneous | 10 |
What is the central angle of the Marketing sector?
Answer: A. 54°
Solution
15% of 360 = 54 degrees Answer: 54°
8,000 office-goers were surveyed on their usual mode of travel (values read from a pie chart):
| Mode | Share (%) |
|---|---|
| Bus | 30 |
| Metro | 25 |
| Car | 20 |
| Bike | 15 |
| Walk | 10 |
How many people usually travel by Metro?
Answer: A. 2,000
Solution
25% of 8,000 = 2,000 Answer: 2,000
Monthly income of a family is ₹60,000, spent as follows (values read from a pie chart):
| Item | Share (%) |
|---|---|
| Rent | 25 |
| Food | 30 |
| Education | 15 |
| Transport | 10 |
| Savings | 20 |
How much is spent on Education and Transport together?
Answer: C. ₹15,000
Solution
Education + Transport = 15% + 10% = 25% 25% of 60,000 = ₹15,000 Answer: ₹15,000
Monthly income of a family is ₹60,000, spent as follows (values read from a pie chart):
| Item | Share (%) |
|---|---|
| Rent | 25 |
| Food | 30 |
| Education | 15 |
| Transport | 10 |
| Savings | 20 |
Food expenditure is what percentage more than Transport expenditure?
Answer: D. 200%
Solution
Food = 30%, Transport = 10% of the same total. Difference = 20 points % more = 20/10 x 100 = 200% Answer: 200%
1,800 students chose one of five subjects. The central angles of the pie chart are:
| Subject | Angle (degrees) |
|---|---|
| A | 72 |
| B | 108 |
| C | 54 |
| D | 90 |
| E | 36 |
How many more students chose D than C?
Answer: D. 180
Solution
Difference in angle = 90 - 54 = 36 degrees Students = 36/360 x 1800 = 180 Answer: 180
1,800 students chose one of five subjects. The central angles of the pie chart are:
| Subject | Angle (degrees) |
|---|---|
| A | 72 |
| B | 108 |
| C | 54 |
| D | 90 |
| E | 36 |
The number of students who chose E is what percentage of those who chose A?
Answer: A. 50%
Solution
E : A = 36 : 72 (the total cancels) 36/72 x 100 = 50% Answer: 50%
Revenue of two companies by product, values read from two pie charts. Total revenue of X = ₹4,00,000; of Y = ₹6,00,000.
| Product | X (%) | Y (%) |
|---|---|---|
| Mobiles | 30 | 20 |
| Laptops | 25 | 30 |
| Tablets | 15 | 10 |
| Accessories | 20 | 25 |
| Others | 10 | 15 |
What is the ratio of X's revenue from Laptops to Y's revenue from Laptops?
Answer: A. 5 : 9
Solution
X Laptops = 25% of 4,00,000 = ₹1,00,000 Y Laptops = 30% of 6,00,000 = ₹1,80,000 Ratio = 1,00,000 : 1,80,000 = 5 : 9 Answer: 5 : 9
Shortcut: Do not compare 25% and 30% directly: the totals differ.
Revenue of two companies by product, values read from two pie charts. Total revenue of X = ₹4,00,000; of Y = ₹6,00,000.
| Product | X (%) | Y (%) |
|---|---|---|
| Mobiles | 30 | 20 |
| Laptops | 25 | 30 |
| Tablets | 15 | 10 |
| Accessories | 20 | 25 |
| Others | 10 | 15 |
For how many products is Y's revenue strictly higher than X's revenue?
Answer: B. 3
Solution
Values (₹ thousand) X vs Y: Mobiles 120 vs 120 (equal) Laptops 100 vs 180 (Y) Tablets 60 vs 60 (equal) Accessories 80 vs 150 (Y) Others 40 vs 90 (Y) Y is higher for 3 products. Answer: 3
The 2,40,000 working people of a town by occupation (values read from a pie chart):
| Occupation | Share (%) |
|---|---|
| Farmers | 35 |
| Traders | 20 |
| Government jobs | 15 |
| Private jobs | 25 |
| Others | 5 |
How many people are in Government jobs and Others together?
Answer: B. 48,000
Solution
15% + 5% = 20% 20% of 2,40,000 = 48,000 Answer: 48,000
The 2,40,000 working people of a town by occupation (values read from a pie chart):
| Occupation | Share (%) |
|---|---|
| Farmers | 35 |
| Traders | 20 |
| Government jobs | 15 |
| Private jobs | 25 |
| Others | 5 |
How many more people are Farmers than Traders?
Answer: C. 36,000
Solution
Difference = 35% - 20% = 15% 15% of 2,40,000 = 36,000 Answer: 36,000
72,000 valid votes were polled among four candidates. The pie chart angles are:
| Candidate | Angle (degrees) |
|---|---|
| A | 144 |
| B | 108 |
| C | 72 |
| D | 36 |
By how many votes did A win over B?
Answer: C. 7,200
Solution
Angle difference = 144 - 108 = 36 degrees Votes = 36/360 x 72,000 = 7,200 Answer: 7,200
72,000 valid votes were polled among four candidates. The pie chart angles are:
| Candidate | Angle (degrees) |
|---|---|
| A | 144 |
| B | 108 |
| C | 72 |
| D | 36 |
How many more votes did C need to tie with A?
Answer: D. 14,400
Solution
A = 144/360 x 72,000 = 28,800 C = 72/360 x 72,000 = 14,400 Needed = 28,800 - 14,400 = 14,400 Answer: 14,400
Total sales of a bookshop in a month were ₹2,50,000, distributed as below (values read from a pie chart):
| Category | Share (%) |
|---|---|
| Fiction | 28 |
| Textbooks | 36 |
| Comics | 15 |
| Stationery | 12 |
| Others | 9 |
What were the combined sales of Fiction and Stationery?
Answer: D. ₹1,00,000
Solution
28% + 12% = 40% 40% of 2,50,000 = ₹1,00,000 Answer: ₹1,00,000
Total sales of a bookshop in a month were ₹2,50,000, distributed as below (values read from a pie chart):
| Category | Share (%) |
|---|---|
| Fiction | 28 |
| Textbooks | 36 |
| Comics | 15 |
| Stationery | 12 |
| Others | 9 |
What is the ratio of Textbook sales to Others sales?
Answer: A. 4 : 1
Solution
36% : 9% = 36 : 9 = 4 : 1 Answer: 4 : 1
How a student spends a 24-hour day (central angles read from a pie chart):
| Activity | Angle (degrees) |
|---|---|
| Sleep | 120 |
| College | 90 |
| Study | 60 |
| Leisure | 45 |
| Travel and others | 45 |
How many hours per day are spent on Leisure and Travel/others together?
Answer: A. 6
Solution
Angle = 45 + 45 = 90 degrees Hours = 90/15 = 6 Answer: 6
How a student spends a 24-hour day (central angles read from a pie chart):
| Activity | Angle (degrees) |
|---|---|
| Sleep | 120 |
| College | 90 |
| Study | 60 |
| Leisure | 45 |
| Travel and others | 45 |
How many hours does the student study in a week (7 days)?
Answer: B. 28
Solution
Study per day = 60/15 = 4 hours Per week = 4 x 7 = 28 hours Answer: 28
Total expenditure of a company in 2022 was ₹60 lakh (values read from a pie chart):
| Head | Share (%) |
|---|---|
| Salaries | 40 |
| Raw material | 25 |
| Rent | 10 |
| Marketing | 15 |
| Miscellaneous | 10 |
How much more was spent on Salaries than on Rent (₹ lakh)?
Answer: B. 18
Solution
Difference = 40% - 10% = 30% 30% of 60 = ₹18 lakh Answer: 18
Total expenditure of a company in 2022 was ₹60 lakh (values read from a pie chart):
| Head | Share (%) |
|---|---|
| Salaries | 40 |
| Raw material | 25 |
| Rent | 10 |
| Marketing | 15 |
| Miscellaneous | 10 |
In 2023 the total expenditure rises by 20% with the same shares. What will be the expenditure on Salaries (₹ lakh)?
Answer: C. 28.8
Solution
2023 total = 60 x 1.2 = ₹72 lakh Salaries = 40% of 72 = ₹28.8 lakh Answer: 28.8
8,000 office-goers were surveyed on their usual mode of travel (values read from a pie chart):
| Mode | Share (%) |
|---|---|
| Bus | 30 |
| Metro | 25 |
| Car | 20 |
| Bike | 15 |
| Walk | 10 |
What is the combined central angle of Car and Bike?
Answer: B. 126°
Solution
Car + Bike = 20% + 15% = 35% 35% of 360 = 126 degrees Answer: 126°
8,000 office-goers were surveyed on their usual mode of travel (values read from a pie chart):
| Mode | Share (%) |
|---|---|
| Bus | 30 |
| Metro | 25 |
| Car | 20 |
| Bike | 15 |
| Walk | 10 |
60% of Metro users are women. How many men use the Metro?
Answer: C. 800
Solution
Metro users = 2,000 Men = 40% of 2,000 = 800 Answer: 800
8,000 office-goers were surveyed on their usual mode of travel (values read from a pie chart):
| Mode | Share (%) |
|---|---|
| Bus | 30 |
| Metro | 25 |
| Car | 20 |
| Bike | 15 |
| Walk | 10 |
How many more people travel by Bus than by Bike?
Answer: D. 1,200
Solution
Difference = 30% - 15% = 15% 15% of 8,000 = 1,200 Answer: 1,200
Monthly income of a family is ₹60,000, spent as follows (values read from a pie chart):
| Item | Share (%) |
|---|---|
| Rent | 25 |
| Food | 30 |
| Education | 15 |
| Transport | 10 |
| Savings | 20 |
The family cuts its food expenditure by ₹3,000 and saves that amount. What is the new percentage of the income spent on Food?
Answer: A. 25%
Solution
Food now = 18,000 - 3,000 = ₹15,000 % of income = 15,000/60,000 x 100 = 25% Answer: 25%
1,800 students chose one of five subjects. The central angles of the pie chart are:
| Subject | Angle (degrees) |
|---|---|
| A | 72 |
| B | 108 |
| C | 54 |
| D | 90 |
| E | 36 |
One-fifth of the students of A and one-third of the students of C later switch to another stream. How many students switched in all?
Answer: B. 162
Solution
A = 72/360 x 1800 = 360; one-fifth = 72 C = 54/360 x 1800 = 270; one-third = 90 Total = 72 + 90 = 162 Answer: 162
Revenue of two companies by product, values read from two pie charts. Total revenue of X = ₹4,00,000; of Y = ₹6,00,000.
| Product | X (%) | Y (%) |
|---|---|---|
| Mobiles | 30 | 20 |
| Laptops | 25 | 30 |
| Tablets | 15 | 10 |
| Accessories | 20 | 25 |
| Others | 10 | 15 |
The combined revenue from Mobiles of both companies is what percentage of their combined total revenue?
Answer: C. 24%
Solution
Mobiles: 1,20,000 + 1,20,000 = ₹2,40,000 Total: 4,00,000 + 6,00,000 = ₹10,00,000 2,40,000/10,00,000 x 100 = 24% Answer: 24% The simple average of 30% and 20% (25%) is wrong because the totals differ.
The 2,40,000 working people of a town by occupation (values read from a pie chart):
| Occupation | Share (%) |
|---|---|
| Farmers | 35 |
| Traders | 20 |
| Government jobs | 15 |
| Private jobs | 25 |
| Others | 5 |
If 10% of the Farmers become Traders, what percentage of all working people will then be Traders?
Answer: D. 23.5%
Solution
10% of Farmers = 10% of 35% = 3.5% of the total Traders = 20% + 3.5% = 23.5% Answer: 23.5%
72,000 valid votes were polled among four candidates. The pie chart angles are:
| Candidate | Angle (degrees) |
|---|---|
| A | 144 |
| B | 108 |
| C | 72 |
| D | 36 |
One-fourth of A's voters had instead voted for D. What would D's central angle then be?
Answer: A. 72°
Solution
A = 28,800; one-fourth = 7,200 D = 36/360 x 72,000 = 7,200, new D = 14,400 New angle = 14,400/72,000 x 360 = 72 degrees Answer: 72°
Shortcut: Shift 36 degrees (one-fourth of 144) to D: 36 + 36 = 72 degrees.
Total sales of a bookshop in a month were ₹2,50,000, distributed as below (values read from a pie chart):
| Category | Share (%) |
|---|---|
| Fiction | 28 |
| Textbooks | 36 |
| Comics | 15 |
| Stationery | 12 |
| Others | 9 |
The Textbook sales of ₹90,000 were made at a profit of 20% on cost. What was the profit on Textbooks?
Answer: B. ₹15,000
Solution
SP = ₹90,000 = 120% of cost Cost = 90,000 x 100/120 = ₹75,000 Profit = 90,000 - 75,000 = ₹15,000 Answer: ₹15,000
Shortcut: Profit = SP x 20/120 = SP/6 = 15,000. (20% of SP, i.e. 18,000, is a common mistake.)
How a student spends a 24-hour day (central angles read from a pie chart):
| Activity | Angle (degrees) |
|---|---|
| Sleep | 120 |
| College | 90 |
| Study | 60 |
| Leisure | 45 |
| Travel and others | 45 |
The student increases study time by 50%, taking the extra time equally from Leisure and Travel/others. What is the new central angle of Leisure?
Answer: C. 30°
Solution
Study = 4 h, extra = 2 h Leisure = 3 h, Travel/others = 3 h; each loses 1 h New Leisure = 2 h Angle = 2 x 15 = 30 degrees Answer: 30°
Total expenditure of a company in 2022 was ₹60 lakh (values read from a pie chart):
| Head | Share (%) |
|---|---|
| Salaries | 40 |
| Raw material | 25 |
| Rent | 10 |
| Marketing | 15 |
| Miscellaneous | 10 |
In 2023, Salaries rise by ₹15 lakh and every other head stays the same as in 2022. What percentage of the 2023 total is spent on Salaries?
Answer: D. 52%
Solution
Salaries 2022 = 24; 2023 = 24 + 15 = 39 Total 2023 = 60 + 15 = 75 39/75 x 100 = 52% Answer: 52%
8,000 office-goers were surveyed on their usual mode of travel (values read from a pie chart):
| Mode | Share (%) |
|---|---|
| Bus | 30 |
| Metro | 25 |
| Car | 20 |
| Bike | 15 |
| Walk | 10 |
40% of Bus users and 25% of Bike users are women. How many women in all use the Bus or the Bike?
Answer: A. 1,260
Solution
Bus users = 30% of 8,000 = 2,400; women = 40% of 2,400 = 960 Bike users = 15% of 8,000 = 1,200; women = 25% of 1,200 = 300 Total = 960 + 300 = 1,260 Answer: 1,260
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