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In a class, the number of students who l...

In a class, the number of students who like only Chess, only Caroms, both the games and neither of the games are in the ratio `2:4:1:3.` the number of students who like at least one of these games is `120` more than those who like neither of the games. Find the number of students in the class.

A

300

B

240

C

270

D

360

Text Solution

Verified by Experts

The correct Answer is:
A
Let the number of students who like only Chess be 2x. The number of students who like only Carroms. Both the games and neither of the gains are 4x,x and 3x respectively.
Given, `2x+4x+x=3x+120`
`rArr 4x=120rArrx=30`
`therefore` The total number of students `=2x+4x+x+3x=10x=300`.
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