Question : The pie chart given below shows the number of boys in 8 schools. The total number of boys in all these 8 schools is 12000. The number of boys in a particular school is shown as a percent of the total number of boys in all these 8 schools. The average number of boys in S1 and S2 is what percent of the average number of boys in S6 and S8?
Option 1: 133.33 percent
Option 2: 192.24 percent
Option 3: 172.26 percent
Option 4: 146.15 percent
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Correct Answer: 146.15 percent
Solution : Now, the average number of boys in S1 and S2 is what percent of the average number of boys in S6 and S8 = $\frac{\frac{(31+7)}{2}}{\frac{(11+15)}{2}}\times 100$% = 146.1538% ≈ 146.15% ∴ The average number of boys in S1 and S2 is what percent of the average number of boys in S6 and S8 is 146.15%. Hence, the correct answer is 146.15 percent.
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