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 5000. The number of boys in a particular school is shown as a percentage of the total number of boys in all these 8 schools.
What is the ratio of the total number of boys in B, D, and E to the total number of boys in A, C, and F?
Option 1: 37 : 57
Option 2: 42 : 41
Option 3: 57 : 38
Option 4: 41 : 42
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Correct Answer: 42 : 41
Solution :
Total number of boys = 5000
Total number of boys in B, D, and E
=$4\%\times 5000 + 25\%\times 5000 + 13\%\times 5000$
$=200 + 1250 + 650 = 2100$
Total number of boys in A, C, and F
$= 26\%\times5000 + 5\% \times 5000 + 10\%\times 5000$
$=1300 + 250 + 500 = 2050$
Ratio = $\frac{2100}{2050} = 42:41$
Hence, the correct answer is 42 : 41.
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