Question : In a class of 50 students, 22 girls scored an average of 35 marks in the test. What are the average marks of the boys if the class average is 42 marks?
Option 1: 50
Option 2: 52.5
Option 3: 47.5
Option 4: 55
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Correct Answer: 47.5
Solution :
Let the average marks of boys be a.
According to the question,
$\frac{(22×35)+(28×a)}{50}=42$
⇒ $28a=2100–770$
⇒ $a=\frac{1330}{28}=47.5$
Hence, the correct answer is 47.5.
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