Question : The pie chart given below shows the sales of 7 different companies. The total sales of all these 7 companies is 2160. The sale of a particular company is shown in terms of degree with respect to the total sales of all these 7 companies.
The total sales of P, R, and S are how much percentage less than the total sales of Q, T, and U?
Option 1: 56.42%
Option 2: 24.42%
Option 3: 46.53%
Option 4: 32.32%
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Correct Answer: 46.53%
Solution :
Total sales of P, R, and S in terms of degrees $=26^\circ + 12^\circ + 70^\circ = 108^\circ$
Total sales of Q, T, and U in terms of degrees $=150^\circ + 37^\circ + 15^\circ = 202^\circ$
The sale of a company is proportional to the degrees occupied by it in the pie chart.
Required percentage $=\frac{202^\circ-108^\circ}{202^\circ}\times 100$ = 46.53%
Hence, the correct answer is 46.53%.
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