Question : The average weight of the boys in a class is 69.3 kg and that of the girls in the same class is 59.4 kg. If the average weight of all the boys and girls in the class is 63.8 kg, then the percentage of the number of boys in the class is:
Option 1: $55 \frac{5}{9}$
Option 2: $40$
Option 3: $45$
Option 4: $44 \frac{4}{9}$
Correct Answer: $44 \frac{4}{9}$
Solution :
Use the alligation method.
The ratio of the number of boys to that of girls in the class = $4.4: 5.5 = 4: 5$
The percentage of the number of boys in the class $=\frac{4}{9}\times 100=44 \frac{4}{9}$%
Hence, the correct answer is $44 \frac{4}{9}$.
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