Question : The pie chart given below shows the number of cars sold by 8 different companies. The total number of cars sold by all these 8 companies is 1000. The number of cars sold by a particular company is shown as a percent of the total number of cars sold by all these 8 companies. What is the difference between the central angle formed by sectors A, B, and C together and the central angle formed by sectors E, F, and G together?
Option 1: 72.8°
Option 2: 88.4°
Option 3: 104.4°
Option 4: 102.6°
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Correct Answer: 104.4°
Solution : Sectors A, B, and C altogether comprise 55% (13 + 24 + 18) of the central angle. Sectors E, F, and G altogether comprise 26% (7 + 15 + 4) of the central angle. Required difference = (55 – 26)% of the central angle = 29% of the central angle = $\frac{29}{100}$ × 360° = 104.4° Hence, the correct answer is 104.4°.
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