Question : In an examination, the average marks obtained by the girls of a class is 85 and the average marks obtained by the boys of the same class is 87. If the girls and boys are in the ratio of 4 : 5, the average marks of the whole class (approximately) are closest to:
Option 1: 85.9
Option 2: 86.1
Option 3: 86.4
Option 4: 86.5
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Correct Answer: 86.1
Solution :
Given: Ratio of girls : boys = 4 : 5
Average marks obtained by the girls = 85
Average marks obtained by the boys = 87
Required average $=\frac{(4×85)+(5×87)}{4+5}= \frac{340 + 435}{9}= \frac{775}{9} = 86.1$
Hence, the correct answer is 86.1.
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