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.
Company Annual Expenditure
Total = Rs. 4000 lakh
The expenditure on Rent is approximately what percentage of the expenditure on Utilities?
Show answer and explanation
Answer: A
The chart shows Rent is 17% of the total, and Utilities is 24%. We need Rent’s share as a percentage of Utilities’s share. Percentage = (17 / 24) x 100 ~ 71%. So the expenditure on Rent is about 71% of that on Utilities.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q2.
Company Annual Expenditure
Total = Rs. 4000 lakh
On which item was the lowest expenditure?
Show answer and explanation
Answer: C
The chart shows these shares: Utilities = 15%, Logistics = 23%, Raw Materials = 27%, Salaries = 24%, R&D = 11%. Compare all five percentages to find the smallest one. R&D has the lowest share, at 11%. So R&D had the lowest expenditure.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q3.
Company Annual Expenditure
Total = Rs. 4000 lakh
The expenditure on Raw Materials is approximately what percentage of the expenditure on Logistics?
Show answer and explanation
Answer: B
The chart shows Raw Materials is 27% of the total, and Logistics is 23%. We need Raw Materials’s share as a percentage of Logistics’s share. Percentage = (27 / 23) x 100 ~ 117%. So the expenditure on Raw Materials is about 117% of that on Logistics.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q4.
Company Annual Expenditure
Total = Rs. 4000 lakh
What is the central angle (in degrees) for Utilities in this pie chart?
Show answer and explanation
Answer: B
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 Utilities is 15% of the total. So the central angle for Utilities = 15% of 360 degrees. 15% of 360 = 15 x 3.6 = 54 degrees.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q5.
Company Annual Expenditure
Total = Rs. 4000 lakh
On which item was the highest expenditure?
Show answer and explanation
Answer: D
The chart shows these shares: Utilities = 15%, Logistics = 23%, Raw Materials = 27%, Salaries = 24%, R&D = 11%. Compare all five percentages to find the largest one. Raw Materials has the highest share, at 27%. So Raw Materials had the highest expenditure.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q6.
Company Annual Expenditure
Total = Rs. 4000 lakh
What is the difference between the expenditure on Salaries and that on Utilities?
Show answer and explanation
Answer: C
The chart shows Salaries is 24% of the total, and Utilities is 15%. Salaries = 24% of 4000 = 960. Utilities = 15% of 4000 = 600. Difference = 960 – 600 = 360.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q7.
Distribution of Total Marks Scored Across Subjects
Total = 1000 marks
What percentage of the total marks scored is accounted for by Geography and English together?
Show answer and explanation
Answer: A
The chart shows Geography is 19% of the total, and English is 28%. Together they account for 19 + 28 = 47% of the total. So Geography and English combined make up 47% of the total marks scored.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q8.
Distribution of Total Marks Scored Across Subjects
Total = 1000 marks
The marks scored on Maths is approximately what percentage of the marks scored on Civics?
Show answer and explanation
Answer: B
The chart shows Maths is 10% of the total, and Civics is 18%. We need Maths’s share as a percentage of Civics’s share. Percentage = (10 / 18) x 100 ~ 56%. So the marks scored on Maths is about 56% of that on Civics.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q9.
Distribution of Total Marks Scored Across Subjects
Total = 1000 marks
On which item was the highest marks scored?
Show answer and explanation
Answer: B
The chart shows these shares: Civics = 18%, English = 28%, Maths = 10%, Geography = 19%, Science = 25%. Compare all five percentages to find the largest one. English has the highest share, at 28%. So English had the highest marks scored.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q10.
Distribution of Total Marks Scored Across Subjects
Total = 1000 marks
What is the ratio of the marks scored on Civics to that on Maths?
Show answer and explanation
Answer: D
The chart shows Civics is 18% of the total, and Maths is 10%. Their ratio is 18 : 10. Divide both numbers by their HCF to write it in lowest terms. 18 : 10 = 9 : 5, i.e. 9 : 5.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q11.
Distribution of Total Marks Scored Across Subjects
Total = 1000 marks
What was the marks scored on English?
Show answer and explanation
Answer: B
The chart shows English makes up 28% of the total marks scored. The total marks scored is 1000. 28% of 1000 = 28 x 1000 / 100 = 280. So the marks scored on English is 280.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q12.
Company Annual Expenditure
Total = Rs. 8000 lakh
What is the difference between the expenditure on Marketing and that on Salaries?
Show answer and explanation
Answer: B
The chart shows Marketing is 32% of the total, and Salaries is 17%. Marketing = 32% of 8000 = 2560. Salaries = 17% of 8000 = 1360. Difference = 2560 – 1360 = 1200.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q13.
Company Annual Expenditure
Total = Rs. 8000 lakh
What percentage of the total expenditure is accounted for by Raw Materials and Marketing together?
Show answer and explanation
Answer: B
The chart shows Raw Materials is 10% of the total, and Marketing is 32%. Together they account for 10 + 32 = 42% of the total. So Raw Materials and Marketing combined make up 42% of the total expenditure.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q14.
Company Annual Expenditure
Total = Rs. 8000 lakh
What is the total expenditure on Raw Materials and Marketing together?
Show answer and explanation
Answer: B
The chart shows Raw Materials is 10% of the total, and Marketing is 32%. Raw Materials = 10% of 8000 = 800. Marketing = 32% of 8000 = 2560. Together, Raw Materials + Marketing = 800 + 2560 = 3360.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q15.
Company Annual Expenditure
Total = Rs. 8000 lakh
What is the ratio of the expenditure on Utilities to that on Taxes?
Show answer and explanation
Answer: B
The chart shows Utilities is 18% of the total, and Taxes is 23%. Their ratio is 18 : 23. Divide both numbers by their HCF to write it in lowest terms. 18 : 23 = 18 : 23, i.e. 18 : 23.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q16.
Company Annual Expenditure
Total = Rs. 8000 lakh
For how many of the given items was the expenditure 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: Marketing, Taxes. That gives 2 item(s) above average.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q17.
Monthly Household Budget
Total = Rs. 90000
For how many of the given items was the amount spent above the average share (i.e. above 20% of the total)?
Show answer and explanation
Answer: B
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: Rent, Food. That gives 2 item(s) above average.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q18.
Monthly Household Budget
Total = Rs. 90000
What is the ratio of the amount spent on Savings to that on Utilities?
Show answer and explanation
Answer: A
The chart shows Savings is 20% of the total, and Utilities is 12%. Their ratio is 20 : 12. Divide both numbers by their HCF to write it in lowest terms. 20 : 12 = 5 : 3, i.e. 5 : 3.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q19.
Monthly Household Budget
Total = Rs. 90000
What was the amount spent on Rent?
Show answer and explanation
Answer: C
The chart shows Rent makes up 30% of the total amount spent. The total amount spent is 90000. 30% of 90000 = 30 x 90000 / 100 = 27000. So the amount spent on Rent is 27000.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q20.
Monthly Household Budget
Total = Rs. 90000
What percentage of the total amount spent is accounted for by Education and Rent together?
Show answer and explanation
Answer: D
The chart shows Education is 13% of the total, and Rent is 30%. Together they account for 13 + 30 = 43% of the total. So Education and Rent combined make up 43% of the total amount spent.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q21.
Monthly Household Budget
Total = Rs. 90000
What is the difference between the amount spent on Education and that on Utilities?
Show answer and explanation
Answer: C
The chart shows Education is 13% of the total, and Utilities is 12%. Education = 13% of 90000 = 11700. Utilities = 12% of 90000 = 10800. Difference = 11700 – 10800 = 900.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q22.
Company Revenue by Product Line
Total = Rs. 5000 crore
What was the revenue on Product D?
Show answer and explanation
Answer: C
The chart shows Product D makes up 27% of the total revenue. The total revenue is 5000. 27% of 5000 = 27 x 5000 / 100 = 1350. So the revenue on Product D is 1350.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q23.
Company Revenue by Product Line
Total = Rs. 5000 crore
The revenue on Product E is approximately what percentage of the revenue on Product C?
Show answer and explanation
Answer: B
The chart shows Product E is 13% of the total, and Product C is 23%. We need Product E’s share as a percentage of Product C’s share. Percentage = (13 / 23) x 100 ~ 57%. So the revenue on Product E is about 57% of that on Product C.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q24.
Company Revenue by Product Line
Total = Rs. 5000 crore
On which item was the lowest revenue?
Show answer and explanation
Answer: B
The chart shows these shares: Product E = 13%, Product C = 23%, Product B = 9%, Product D = 27%, Product F = 28%. Compare all five percentages to find the smallest one. Product B has the lowest share, at 9%. So Product B had the lowest revenue.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q25.
Company Revenue by Product Line
Total = Rs. 5000 crore
What is the central angle (in degrees) for Product F 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 F is 28% of the total. So the central angle for Product F = 28% of 360 degrees. 28% of 360 = 28 x 3.6 = 100.8 degrees.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q26.
Company Revenue by Product Line
Total = Rs. crore 5000
On which item was the highest revenue?
Show answer and explanation
Answer: C
The chart shows these shares: Product E = 13%, Product C = 23%, Product B = 9%, Product D = 27%, Product F = 28%. Compare all five percentages to find the largest one. Product F has the highest share, at 28%. So Product F had the highest revenue.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples