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.
Distribution of Land Under Different Crops
Total = 6000 acres
What was the area on Wheat?
Show answer and explanation
Answer: D
The chart shows Wheat makes up 23% of the total area. The total area is 6000. 23% of 6000 = 23 x 6000 / 100 = 1380. So the area on Wheat is 1380.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q2.
Distribution of Land Under Different Crops
Total = 6000 acres
What is the difference between the area on Barley and that on Sugarcane?
Show answer and explanation
Answer: A
The chart shows Barley is 11% of the total, and Sugarcane is 21%. Barley = 11% of 6000 = 660. Sugarcane = 21% of 6000 = 1260. Difference = 1260 – 660 = 600.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q3.
Distribution of Land Under Different Crops
Total = 6000 acres
What is the total area on Cotton and Sugarcane together?
Show answer and explanation
Answer: C
The chart shows Cotton is 20% of the total, and Sugarcane is 21%. Cotton = 20% of 6000 = 1200. Sugarcane = 21% of 6000 = 1260. Together, Cotton + Sugarcane = 1200 + 1260 = 2460.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q4.
Distribution of Land Under Different Crops
Total = 6000 acres
What is the ratio of the area on Wheat to that on Bajra?
Show answer and explanation
Answer: D
The chart shows Wheat is 23% of the total, and Bajra is 25%. Their ratio is 23 : 25. Divide both numbers by their HCF to write it in lowest terms. 23 : 25 = 23 : 25, i.e. 23 : 25.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q5.
Distribution of Land Under Different Crops
Total = 6000 acres
For how many of the given items was the area 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: Sugarcane, Bajra, Wheat. That gives 3 item(s) above average.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q6.
Monthly Household Budget
Total = Rs. 90000
What is the ratio of the amount spent on Education to that on Savings?
Show answer and explanation
Answer: D
The chart shows Education is 25% of the total, and Savings is 30%. Their ratio is 25 : 30. Divide both numbers by their HCF to write it in lowest terms. 25 : 30 = 5 : 6, i.e. 5 : 6.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q7.
Monthly Household Budget
Total = Rs. 90000
What was the amount spent on Education?
Show answer and explanation
Answer: B
The chart shows Education makes up 25% of the total amount spent. The total amount spent is 90000. 25% of 90000 = 25 x 90000 / 100 = 22500. So the amount spent on Education is 22500.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q8.
Monthly Household Budget
Total = Rs. 90000
What percentage of the total amount spent is accounted for by Savings and Education together?
Show answer and explanation
Answer: B
The chart shows Savings is 30% of the total, and Education is 25%. Together they account for 30 + 25 = 55% of the total. So Savings and Education combined make up 55% of the total amount spent.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q9.
Monthly Household Budget
Total = Rs. 90000
What is the difference between the amount spent on Education and that on Savings?
Show answer and explanation
Answer: C
The chart shows Education is 25% of the total, and Savings is 30%. Education = 25% of 90000 = 22500. Savings = 30% of 90000 = 27000. Difference = 27000 – 22500 = 4500.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q10.
Distribution of Total Marks Scored Across Subjects
Total = 600 marks
On which item was the lowest marks scored?
Show answer and explanation
Answer: C
The chart shows these shares: Science = 23%, Civics = 34%, Computer = 19%, History = 13%, English = 11%. Compare all five percentages to find the smallest one. English has the lowest share, at 11%. So English had the lowest marks scored.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q11.
Distribution of Total Marks Scored Across Subjects
Total = 600 marks
The marks scored on Civics is approximately what percentage of the marks scored on Science?
Show answer and explanation
Answer: D
The chart shows Civics is 34% of the total, and Science is 23%. We need Civics’s share as a percentage of Science’s share. Percentage = (34 / 23) x 100 ~ 148%. So the marks scored on Civics is about 148% of that on Science.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q12.
Distribution of Total Marks Scored Across Subjects
Total = 600 marks
What is the central angle (in degrees) for English 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 English is 11% of the total. So the central angle for English = 11% of 360 degrees. 11% of 360 = 11 x 3.6 = 39.6 degrees.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q13.
Distribution of Total Marks Scored Across Subjects
Total = 600 marks
What is the difference between the marks scored on English and that on History?
Show answer and explanation
Answer: A
The chart shows English is 11% of the total, and History is 13%. English = 11% of 600 = 66. History = 13% of 600 = 78. Difference = 78 – 66 = 12.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q14.
Monthly Household Budget
Total = Rs. 90000
What percentage of the total amount spent is accounted for by Utilities and Education together?
Show answer and explanation
Answer: A
The chart shows Utilities is 28% of the total, and Education is 15%. Together they account for 28 + 15 = 43% of the total. So Utilities and Education combined make up 43% of the total amount spent.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q15.
Monthly Household Budget
Total = Rs. 90000
The amount spent on Education is approximately what percentage of the amount spent on Rent?
Show answer and explanation
Answer: C
The chart shows Education is 15% of the total, and Rent is 25%. We need Education’s share as a percentage of Rent’s share. Percentage = (15 / 25) x 100 ~ 60%. So the amount spent on Education is about 60% of that on Rent.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q16.
Monthly Household Budget
Total = Rs. 90000
On which item was the highest amount spent?
Show answer and explanation
Answer: C
The chart shows these shares: Rent = 25%, Utilities = 28%, Transport = 11%, Education = 15%, Entertainment = 21%. Compare all five percentages to find the largest one. Utilities has the highest share, at 28%. So Utilities had the highest amount spent.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q17.
Monthly Household Budget
Total = Rs. 90000
What is the ratio of the amount spent on Entertainment to that on Rent?
Show answer and explanation
Answer: C
The chart shows Entertainment is 21% of the total, and Rent is 25%. Their ratio is 21 : 25. Divide both numbers by their HCF to write it in lowest terms. 21 : 25 = 21 : 25, i.e. 21 : 25.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q18.
Company Revenue by Product Line
Total = Rs. 4000 crore
What is the difference between the revenue on Product D and that on Product C?
Show answer and explanation
Answer: A
The chart shows Product D is 27% of the total, and Product C is 14%. Product D = 27% of 4000 = 1080. Product C = 14% of 4000 = 560. Difference = 1080 – 560 = 520.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q19.
Company Revenue by Product Line
Total = Rs. 4000 crore
For how many of the given items was the revenue 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: Product H, Product D, Product F. That gives 3 item(s) above average.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q20.
Company Revenue by Product Line
Total = Rs. 4000 crore
What is the ratio of the revenue on Product H to that on Product F?
Show answer and explanation
Answer: B
The chart shows Product H is 22% of the total, and Product F is 29%. Their ratio is 22 : 29. Divide both numbers by their HCF to write it in lowest terms. 22 : 29 = 22 : 29, i.e. 22 : 29.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q21.
Company Revenue by Product Line
Total = Rs. 4000 crore
What was the revenue on Product C?
Show answer and explanation
Answer: D
The chart shows Product C makes up 14% of the total revenue. The total revenue is 4000. 14% of 4000 = 14 x 4000 / 100 = 560. So the revenue on Product C is 560.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q22.
Company Revenue by Product Line
Total = Rs. 4000 crore
What is the total revenue on Product D and Product B together?
Show answer and explanation
Answer: A
The chart shows Product D is 27% of the total, and Product B is 8%. Product D = 27% of 4000 = 1080. Product B = 8% of 4000 = 320. Together, Product D + Product B = 1080 + 320 = 1400.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q23.
Company Revenue by Product Line
Total = Rs. 4000 crore
What percentage of the total revenue is accounted for by Product F and Product B together?
Show answer and explanation
Answer: B
The chart shows Product F is 29% of the total, and Product B is 8%. Together they account for 29 + 8 = 37% of the total. So Product F and Product B combined make up 37% of the total revenue.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q24.
Company Annual Expenditure
Total = Rs. 4000 lakh
What is the difference between the expenditure on Marketing and that on Rent?
Show answer and explanation
Answer: C
The chart shows Marketing is 11% of the total, and Rent is 17%. Marketing = 11% of 4000 = 440. Rent = 17% of 4000 = 680. Difference = 680 – 440 = 240.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q25.
Company Annual Expenditure
Total = Rs. 4000 lakh
What was the expenditure on Taxes?
Show answer and explanation
Answer: D
The chart shows Taxes makes up 27% of the total expenditure. The total expenditure is 4000. 27% of 4000 = 27 x 4000 / 100 = 1080. So the expenditure on Taxes is 1080.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples