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QJEEM07Maeb72: JEE Main 2007 Mathematics - Class 11 JEEM07Maeb72 Solution: The average marks of boys in a class is 52 and that of girls is …

The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is

Multiple Choice Options

  • A 80
  • B 60
  • C 40
  • D 20

Step-by-Step Verified Solution

Let x and y are number of boys and girls in a class respectively.

∴ 52x + 42y = 50 (x + y)

⇒ 52x + 42y = 50x + 50y

⇒ 2x = 8y

⇒ x = 4y

∴ Total no. of students = x + y = 4y + y = 5y

∴ Percentage of boys = 4y5y×100% = 80%

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