Question : The pie chart given below shows the sales of 7 different companies. The total sales of all these 7 companies are 1440. The sale of a particular company is Shown in terms of degree concerning the total sales of all these 7 Companies.
What is the ratio of the average sales of A and B to the average sales of D and E?
Option 1: $59:177$
Option 2: $63:188$
Option 3: $51:186$
Option 4: $169:49$
Correct Answer: $63:188$
Solution :
The central angle for each sector corresponds to its sale. So, find the average in terms of the central angle.
Average of sales of A and B = $\frac{18º + 45º}{2}$
= $\frac{63º}{2}$
Average of sales of D and E
= $\frac{120º + 68º}{2}$
= $\frac{188º}{2}$
Required Ratio = $\frac{63º}{2}$: $\frac{188º}{2}$ = $63: 188$
Hence, the correct answer is $63:188$.
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