This lesson gives each rule, the reason it works and seven worked examples. It also lists the traps that cost marks.
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Q1.
Monthly Household Budget
Total = Rs. 90000
What is the ratio of the amount spent on Food to that on Utilities?
Show answer and explanation
Answer: C
The chart shows Food is 8% of the total, and Utilities is 25%. Their ratio is 8 : 25. Divide both numbers by their HCF to write it in lowest terms. 8 : 25 = 8 : 25, i.e. 8 : 25.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q2.
Distribution of Students by Specialization in an MBA Programme
Total = 8000 students
What is the difference between the number of students on Finance and that on Analytics?
Show answer and explanation
Answer: A
The chart shows Finance is 22% of the total, and Analytics is 30%. Finance = 22% of 8000 = 1760. Analytics = 30% of 8000 = 2400. Difference = 2400 – 1760 = 640.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q3.
Distribution of Students by Specialization in an MBA Programme
Total = 8000 students
What percentage of the total number of students is accounted for by Strategy and Finance together?
Show answer and explanation
Answer: C
The chart shows Strategy is 20% of the total, and Finance is 22%. Together they account for 20 + 22 = 42% of the total. So Strategy and Finance combined make up 42% of the total number of students.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q4.
Distribution of Students by Specialization in an MBA Programme
Total = 8000 students
What is the total number of students on IT and Strategy together?
Show answer and explanation
Answer: B
The chart shows IT is 12% of the total, and Strategy is 20%. IT = 12% of 8000 = 960. Strategy = 20% of 8000 = 1600. Together, IT + Strategy = 960 + 1600 = 2560.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q5.
Distribution of Students by Specialization in an MBA Programme
Total = 8000 students
What is the ratio of the number of students on IT to that on Operations?
Show answer and explanation
Answer: B
The chart shows IT is 12% of the total, and Operations is 16%. Their ratio is 12 : 16. Divide both numbers by their HCF to write it in lowest terms. 12 : 16 = 3 : 4, i.e. 3 : 4.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q6.
Distribution of Total Marks Scored Across Subjects
Total = 800 marks
What is the ratio of the marks scored on Maths to that on Science?
Show answer and explanation
Answer: D
The chart shows Maths is 21% of the total, and Science is 23%. Their ratio is 21 : 23. Divide both numbers by their HCF to write it in lowest terms. 21 : 23 = 21 : 23, i.e. 21 : 23.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q7.
Distribution of Total Marks Scored Across Subjects
Total = 800 marks
What was the marks scored on Maths?
Show answer and explanation
Answer: D
The chart shows Maths makes up 21% of the total marks scored. The total marks scored is 800. 21% of 800 = 21 x 800 / 100 = 168. So the marks scored on Maths is 168.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q8.
Distribution of Total Marks Scored Across Subjects
Total = 800 marks
What percentage of the total marks scored is accounted for by History and Maths together?
Show answer and explanation
Answer: A
The chart shows History is 26% of the total, and Maths is 21%. Together they account for 26 + 21 = 47% of the total. So History and Maths combined make up 47% of the total marks scored.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q9.
Distribution of Total Marks Scored Across Subjects
Total = 800 marks
What is the difference between the marks scored on Civics and that on Maths?
Show answer and explanation
Answer: D
The chart shows Civics is 16% of the total, and Maths is 21%. Civics = 16% of 800 = 128. Maths = 21% of 800 = 168. Difference = 168 – 128 = 40.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q10.
Company Revenue by Product Line
Total = Rs. 3000 crore
What was the revenue on Product A?
Show answer and explanation
Answer: D
The chart shows Product A makes up 12% of the total revenue. The total revenue is 3000. 12% of 3000 = 12 x 3000 / 100 = 360. So the revenue on Product A is 360.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q11.
Company Revenue by Product Line
Total = Rs. 3000 crore
The revenue on Product H is approximately what percentage of the revenue on Product A?
Show answer and explanation
Answer: C
The chart shows Product H is 11% of the total, and Product A is 12%. We need Product H’s share as a percentage of Product A’s share. Percentage = (11 / 12) x 100 ~ 92%. So the revenue on Product H is about 92% of that on Product A.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q12.
Company Revenue by Product Line
Total = Rs. 3000 crore
What is the central angle (in degrees) for Product H in this pie chart?
Show answer and explanation
Answer: C
A pie chart’s full circle always measures 360 degrees. Each slice’s angle equals its percentage share of those 360 degrees. The chart shows Product H is 11% of the total. So the central angle for Product H = 11% of 360 degrees. 11% of 360 = 11 x 3.6 = 39.6 degrees.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q13.
Company Revenue by Product Line
Total = Rs. 3000 crore
What is the difference between the revenue on Product B and that on Product G?
Show answer and explanation
Answer: C
The chart shows Product B is 31% of the total, and Product G is 21%. Product B = 31% of 3000 = 930. Product G = 21% of 3000 = 630. Difference = 930 – 630 = 300.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q14.
Distribution of Total Marks Scored Across Subjects
Total = 800 marks
What percentage of the total marks scored is accounted for by Computer and Maths together?
Show answer and explanation
Answer: D
The chart shows Computer is 30% of the total, and Maths is 11%. Together they account for 30 + 11 = 41% of the total. So Computer and Maths combined make up 41% of the total marks scored.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q15.
Distribution of Total Marks Scored Across Subjects
Total = 800 marks
The marks scored on Computer is approximately what percentage of the marks scored on Civics?
Show answer and explanation
Answer: D
The chart shows Computer is 30% of the total, and Civics is 13%. We need Computer’s share as a percentage of Civics’s share. Percentage = (30 / 13) x 100 ~ 231%. So the marks scored on Computer is about 231% of that on Civics.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q16.
Distribution of Total Marks Scored Across Subjects
Total = 800 marks
What is the ratio of the marks scored on Civics to that on Science?
Show answer and explanation
Answer: B
The chart shows Civics is 13% of the total, and Science is 28%. Their ratio is 13 : 28. Divide both numbers by their HCF to write it in lowest terms. 13 : 28 = 13 : 28, i.e. 13 : 28.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q17.
Distribution of Total Marks Scored Across Subjects
Total = 800 marks
What was the marks scored on Civics?
Show answer and explanation
Answer: B
The chart shows Civics makes up 13% of the total marks scored. The total marks scored is 800. 13% of 800 = 13 x 800 / 100 = 104. So the marks scored on Civics is 104.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q18.
Distribution of Total Marks Scored Across Subjects
Total = 700 marks
What is the difference between the marks scored on English and that on Geography?
Show answer and explanation
Answer: D
The chart shows English is 12% of the total, and Geography is 17%. English = 12% of 700 = 84. Geography = 17% of 700 = 119. Difference = 119 – 84 = 35.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q19.
Distribution of Total Marks Scored Across Subjects
Total = 700 marks
What percentage of the total marks scored is accounted for by English and Maths together?
Show answer and explanation
Answer: B
The chart shows English is 12% of the total, and Maths is 27%. Together they account for 12 + 27 = 39% of the total. So English and Maths combined make up 39% of the total marks scored.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q20.
Distribution of Total Marks Scored Across Subjects
Total = 700 marks
For how many of the given items was the marks scored above the average share (i.e. above 20% of the total)?
Show answer and explanation
Answer: A
There are 5 categories in the chart. If shares were equal, each would average 100/5 = 20%. An item counts if its share is above this 20% average. Checking each item, shares above average are: Civics, Maths. That gives 2 item(s) above average.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q21.
Distribution of Students by Specialization in an MBA Programme
Total = 9000 students
For how many of the given items was the number of students above the average share (i.e. above 20% of the total)?
Show answer and explanation
Answer: D
There are 5 categories in the chart. If shares were equal, each would average 100/5 = 20%. An item counts if its share is above this 20% average. Checking each item, shares above average are: IR, Analytics, Operations. That gives 3 item(s) above average.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q22.
Distribution of Students by Specialization in an MBA Programme
Total = 9000 students
What is the ratio of the number of students on Operations to that on HR?
Show answer and explanation
Answer: A
The chart shows Operations is 21% of the total, and HR is 7%. Their ratio is 21 : 7. Divide both numbers by their HCF to write it in lowest terms. 21 : 7 = 3 : 1, i.e. 3 : 1.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q23.
Distribution of Students by Specialization in an MBA Programme
Total = 9000 students
What was the number of students on HR?
Show answer and explanation
Answer: D
The chart shows HR makes up 7% of the total number of students. The total number of students is 9000. 7% of 9000 = 7 x 9000 / 100 = 630. So the number of students on HR is 630.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q24.
Distribution of Students by Specialization in an MBA Programme
Total = 9000 students
What is the total number of students on IR and HR together?
Show answer and explanation
Answer: D
The chart shows IR is 30% of the total, and HR is 7%. IR = 30% of 9000 = 2700. HR = 7% of 9000 = 630. Together, IR + HR = 2700 + 630 = 3330.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q25.
Distribution of Students by Specialization in an MBA Programme
Total = 9000 students
What percentage of the total number of students is accounted for by IT and Operations together?
Show answer and explanation
Answer: A
The chart shows IT is 20% of the total, and Operations is 21%. Together they account for 20 + 21 = 41% of the total. So IT and Operations combined make up 41% of the total number of students.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples