Question : In a class, the average score of girls in an examination is 73 and that of boys is 71. The average score for the whole class is 71.8. Find the percentage of girls:
Option 1: 40%
Option 2: 50%
Option 3: 55%
Option 4: 60%
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Correct Answer: 40%
Solution :
In the image, using the rule of alligation, we get, Boys = (73 – 71.8) = 1.2, Girls = (71.8 – 71) = 0.8 So the ratio of Boys : Girls = 1.2 : 0.8 = 3 : 2 $\therefore$ Percentage of Girls $=\frac{2}{5}×100 = 40$% Hence, the correct answer is 40%.
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