CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data
In a pie chart showing the monthly expenditure of Mr. Sharma's household, the amount spent on rent is ₹12,000 out of a total expenditure of ₹48,000. What central angle in the pie chart represents rent?
The central angle for rent is 90 degrees. Rent forms one quarter of total expenditure, since 12,000 divided by 48,000 equals 0.25, and a pie chart assigns 360 degrees to the whole, so one quarter is 0.25 times 360, which gives 90 degrees.
- A60°
- B75°
- C90°Correct
- D120°
Explanation
Central angle = (12,000/48,000) × 360° = 0.25 × 360° = 90°. Check: 90/360 = 1/4 and 12,000/48,000 = 1/4. The 60° option wrongly uses 1/6 of the circle, which does not match the data.
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