Bar Charts

Bar chart comparison and calculation questions

30 practice questionsPage updated 25 Sept 2026Reviewed by AISEA Editorial DeskPractice questions

Bar charts use separated bars to compare amounts for named categories or discrete time periods. In aptitude exams, a chart may show employees, sales, scores, traffic, revenue or rates. Read the title, axis labels, scale and unit before calculating, then use the exact bar values unless the question asks for an estimate. For grouped or stacked bars, first decide whether a bar is a complete total or only one component of that total.

Key formulas and rules

7 rules

Percentage of total: $\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$

Percentage change: $\%\Delta = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100$

Ratio of A to B: $A : B = \frac{A}{B}$ (confirm both values use the same unit)

Arithmetic mean: $\bar{x} = \frac{\sum x_i}{n}$

Statistical range: $\text{Range} = \text{Maximum Value} - \text{Minimum Value}$

Profit margin: $\text{Profit Margin} = \frac{\text{Revenue} - \text{Cost}}{\text{Revenue}} \times 100\%$

Weighted average: $\bar{x} = \frac{\sum (x_i \times f_i)}{\sum f_i}$

Key concepts

Read the chart metadata first

Start with the title, category labels, axis labels, scale intervals and unit. A bar marked 40 might mean 40 people, 40 thousand units or ₹40 lakhs. If the vertical axis advances by 20, estimate an intermediate bar against that interval rather than treating each gridline as one unit. Write down the values needed for the question before calculating.

Worked examples

Example 1

A bar chart shows employees by department: HR 45, IT 120, Sales 80, Marketing 60 and Finance 35. What percentage of the employees work in IT?

Solution

Step 1: Total employees = 45 + 120 + 80 + 60 + 35 = 340.
Step 2: IT employees = 120.
Step 3: IT share = (120 / 340) × 100 = 35.294...%.
Answer: Approximately 35.3%.

Example 2

Monthly book sales in a bar chart are 4, 5, 6, 8, 7 and 9 hundred books from January to June. What was the percentage growth from January to June?

Solution

Step 1: Old value = 4 hundred and new value = 9 hundred.
Step 2: Increase = 9 − 4 = 5 hundred.
Step 3: Percentage growth = (5 / 4) × 100 = 125%.
Answer: 125%. The unit cancels because both bars are measured in hundreds.

Example 3

A bar chart shows scores of five students: A 75, B 85, C 90, D 70 and E 80. How many students scored above the average?

Solution

Step 1: Total score = 75 + 85 + 90 + 70 + 80 = 400.
Step 2: Average = 400 / 5 = 80.
Step 3: Scores above 80 are 85 and 90. The score of 80 is equal to the average and is not counted.
Answer: 2 students.

Example 4

Quarterly product sales are Q1 500, Q2 600, Q3 550 and Q4 750 units. If the profit is ₹100 per unit, what is the total annual profit?

Solution

Step 1: Total units = 500 + 600 + 550 + 750 = 2,400.
Step 2: Total profit = 2,400 × ₹100 = ₹240,000.
Answer: ₹240,000.

Example 5

A grouped bar chart gives production and sales in thousands of units: Product X 80 and 70, Product Y 100 and 90, Product Z 60 and 55. What is the overall sales-to-production ratio as a percentage?

Solution

Step 1: Total production = 80 + 100 + 60 = 240 thousand units.
Step 2: Total sales = 70 + 90 + 55 = 215 thousand units.
Step 3: Overall ratio = (215 / 240) × 100 = 89.583...%.
Answer: Approximately 89.6%, or 90% if the options require the nearest whole percentage. Do not average the three product percentages because their production totals differ.

Example 6

A bar chart shows revenue and cost in ₹ crore: North 200 and 150, South 180 and 120, East 120 and 100, West 150 and 110. Which region has the highest profit margin?

Solution

Step 1: Profit margin = (revenue − cost) / revenue × 100.
Step 2: North = 50 / 200 × 100 = 25%; South = 60 / 180 × 100 = 33.33%; East = 20 / 120 × 100 = 16.67%; West = 40 / 150 × 100 = 26.67%.
Step 3: Compare the four margins, not only the profit amounts.
Answer: South, at approximately 33.33%.

Example 7

Passenger traffic shown in a bar chart was 45 million in 2019 and 50 million in 2023. What was the percentage increase from 2019 to 2023, and what percentage of the 2019 level was the 2023 level?

Solution

Step 1: Increase = 50 − 45 = 5 million.
Step 2: Percentage increase = (5 / 45) × 100 = 11.11...%.
Step 3: 2023 as a percentage of 2019 = (50 / 45) × 100 = 111.11...%.
Answer: Traffic increased by approximately 11.1%; the 2023 level was 111.1% of the 2019 level. These are different statements.

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Bar Charts

Key formulas and rules

Key concepts

Read the chart metadata first

Bar charts compare discrete categories

Use the actual values, not only visual height

Totals, shares and combined categories

Percentage change and percentage points

Average, median and weighted values

Ratios, margins and rates

Validate before choosing an option

Worked examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Representative solved questions

Question 1

Question 2

Question 3

Common mistakes and useful habits

Sources and review notes

Ready to test your understanding?

Key formulas and rules

Key concepts

Read the chart metadata first

Bar charts compare discrete categories

Use the actual values, not only visual height

Totals, shares and combined categories

Percentage change and percentage points

Average, median and weighted values

Ratios, margins and rates

Validate before choosing an option

Worked examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Representative solved questions

Question 1

Question 2

Question 3

Common mistakes and useful habits

Sources and review notes

Ready to test your understanding?

Keep building the same skill family.