CA Foundation · Quantitative Aptitude · Statistical Description of Data
The Sharma family has a monthly income of ₹60,000 and spends ₹24,000 on food. If the budget is shown in a pie chart, what central angle represents food?
The food sector has a central angle of 144 degrees. Food is 24,000 out of 60,000, which is 40 percent of the income, and 40 percent of the full circle of 360 degrees equals 144 degrees.
- A120°
- B144°Correct
- C96°
- D40°
Explanation
Angle = (24,000 / 60,000) × 360° = 0.4 × 360° = 144°. The value 40° comes from using only 0.4 × 100, and 120° comes from assuming one-third of the income.
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