The following pie chart shows the percentage distribution of the expenditure…
2025
The following pie chart shows the percentage distribution of the expenditure incurred in publishing a book: various expenditures (in percentage) incurred in publishing a book. Study the pie chart and answer the question based on it.
What is the central angle of the sector corresponding to the expenditure incurred on Royalty?
- A.
15°
- B.
24°
- C.
54°
- D.
48°
Attempted by 1 students.
Show answer & explanation
Correct answer: C
In a pie chart, the complete circle represents the total quantity (100%), and the full circle measures 360°. So the central angle of any sector equals its percentage share of the total, scaled from 100% to 360° — that is, (percentage ÷ 100) × 360°.
From the chart, the expenditure on Royalty is 15% of the total publishing cost.
Convert this percentage share into a central angle using (15/100) × 360°.
Compute the value: 0.15 × 360° = 54°.
Cross-check with every sector: Printing 20% → 72°, Paper Cost 25% → 90°, Binding 20% → 72°, Transportation 10% → 36°, Promotion 10% → 36°, and Royalty 15% → 54°. These six angles add up to 360°, exactly a full circle, confirming 54° for Royalty.
