CA Foundation · Quantitative Aptitude · Statistical Description of Data
A company's annual expenditure of ₹7,20,000 is shown in a pie diagram. If the sector for raw materials has a central angle of 150°, the amount spent on raw materials is:
The amount spent on raw materials is ₹3,00,000. Each degree of the pie represents 7,20,000 divided by 360, which is ₹2,000, so a sector of 150° stands for 150 times 2,000, giving ₹3,00,000.
- A₹3,00,000Correct
- B₹2,40,000
- C₹3,60,000
- D₹1,50,000
Explanation
Amount = (150/360) × 7,20,000 = 7,20,000 × 5/12 = ₹3,00,000. Check: 360° corresponds to 7,20,000, so 1° = ₹2,000, and 150° = ₹3,00,000. Using 180° would give ₹3,60,000, which is wrong.
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