# The average marks of boys in 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 Option 1) 80 Option 2) 60 Option 3) 40 Option 4) 20

As we learnt in

ARITHMETIC Mean -

For the values x1, x2, ....xn of the variant x the arithmetic mean is given by

in case of discrete data.

let us donote sum of marks scored by boys as and that by girls as ,the no. of boys and girls be and respectively,

Then average

average

average

From (1), (2) and (3), we have

&    playing in 3

Let us denote then

Hence,

Hence,

80%

Option 1)

80

Correct option

Option 2)

60

Inorrect option

Option 3)

40

Inorrect option

Option 4)

20

Inorrect option

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