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 8000. The number of boys in a particular school is shown as a percent of the total number of boys in all these 8 schools.
What is the sum of the average number of boys in P, R, T, and W and the average number of boys in Q and V?
Option 1: 2580
Option 2: 2180
Option 3: 2380
Option 4: 1980
Correct Answer: 2380
Solution :
The total number of boys in all these 8 schools is 8000.
Number of boys in school P = $\frac{7}{100}×8000=560$
Number of boys in school R = $\frac{8}{100}×8000=640$
Number of boys in school T = $\frac{17}{100}×8000=1360$
Number of boys in school W = $\frac{3}{100}×8000=240$
The average number of boys in these 4 schools = $\frac{560+640+1360+240}{4}=\frac{2800}{4}=700$
Number of boys in school Q = $\frac{37}{100}×8000=2960$
Number of boys in school V = $\frac{5}{100}×8000=400$
The average number of boys in these 2 schools = $\frac{2960+400}{2}=\frac{3360}{2}=1680$
Sum = 700 + 1680 = 2380
Hence, the correct answer is 2380.
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