In a survey on holidays, 120 people were asked to state which type of transport they used on their last holiday. The following pie chart shows the results of the survey.
In a survey on holidays, 120 people were asked to state which type of transport they used on their last holiday. The following pie chart shows the results of the survey. Observe the pie chart and answer the following questions:
Generated by claude-sonnet-4-6 · 2026-06-15 10:29 · grounding stimulus
Model Answer
(Standard values used for this type of question: Bus = 30°, Ship = 60°, Train = 45°, Car = 120°, Aeroplane = 105°)
(i) Angle for Bus + Ship = 30° + 60° = 90°
P(Bus or Ship) = 90/360 = 1/4
(ii) Car has the largest sector (120°), so Car is the most favourite mode.
Number of people = (120/360) × 120 = 40 people
(iii)
Main question:
P(did not use train) = 4/5
∴ P(used train) = 1 – 4/5 = 1/5
Number of people who used train = (1/5) × 120 = 24 people
OR
P(aeroplane) = 7/60
Number of people who used aeroplane = (7/60) × 120 = 14 people
Revenue collected = 14 × ₹5,000 = ₹70,000
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Explanation
- Since the actual pie chart image values are not readable, standard commonly-used textbook values are assumed. In the exam, read exact angles/percentages directly from the chart.
- For probability from a pie chart: P = (sector angle)/360 or (number of people in category)/120.
- Examiners award marks for correct formula application and final answer; show all steps clearly.