On mixing two classes A and B of students having average

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On mixing two classes A and B of students having average marks 25 and 40 respectively, the overall average obtained is 30. Find the ratio of the students in the classes A and B.

1. 2 : 1
2. 5 :8
3. 5 : 6
4. 3 : 4

Correct Option: A

Let Number of students in class A = p
Number of students in class B = q
According to question ,
∴ 25p + 40q = 30(p + q)
⇒ 25p + 40q = 30p + 30q
⇒ 30p – 25p = 40q – 30q
⇒ 5p = 10q

⇒	p	=	10	= 2 : 1
	q		5