A pie chart gives the expenditure on five different items A, B, C, D and E in a household. If B, C, D and E correspond to 90°, 50°, 45° and 75° respectively, then what is the percentage of expenditure on item A?
Answer & explanation
Answer: (d) 250/9
The angles of a pie chart add up to 360°, so A takes 360° − 260° = 100°. As a percentage, that is 100/360 × 100 = 250/9 %.
- Angles in a pie chart add up to 360°. A = 360° − (90° + 50° + 45° + 75°) = 360° − 260° = 100°.
- Percentage for A = 100/360 × 100 = 250/9 % (about 27.8%).
Remember · Pie chart: percentage = angle ÷ 360 × 100, so every 18° is 5%.
Question and answer: UPSC's official GS Paper II (2022, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·