In a class, 30 percent of the boys read The Telegraph every day. Boys constitute 60 percent of the class and 40 percent of the whole class reads The Telegraph.
What percentage of the class reads only gossip pages or only cartoons?
Let the student in class be 1000.
Total number of boys = 600
Total number of girls = 1000 - 600 = 400
The boys who read The Telegraph every day = 30%*600 = 180
The boys who don't read the Telegraph every day = 600 - 180 = 420
Total number of students who read the Telegraph = 400
The number of girls who read the telegraph = 400 - 180 = 220
Total number of students who don't read the Telegraph = 600
The number of girls who don't read the Telegraph = 400 - 220 = 180
(1) Among the boys who read The Telegraph, 40 percent read only the cartoons and the rest read only the sports pages.
The number of boys who read only the cartoons = 40%*180 = 72
The number of boys who read only the sport pages = 60%*180 = 108
Since the number of students who read only gossip pages is not known
NOT SUFFICIENT
(2) Among the girls who read The Telegraph, 60 percent read only the gossip pages and the rest read only the fashion pages.
The number of girls who read only gossip pages = 60%*220 = 132
The number of girls who read only the fashion pages = 220 - 132 = 88
Since the number of students who read only cartoons is not known
NOT SUFFICIENT
(1) + (2)
(1) Among the boys who read The Telegraph, 40 percent read only the cartoons and the rest read only the sports pages.
The number of boys who read only the cartoons = 40%*180 = 72
The number of boys who read only the sport pages = 60%*180 = 108
(2) Among the girls who read The Telegraph, 60 percent read only the gossip pages and the rest read only the fashion pages.
The number of girls who read only gossip pages = 60%*220 = 132
The number of girls who read only the fashion pages = 220 - 132 = 88
The number of students who read only the cartoons or only the gossip pages = 72 + 132 = 204
The percentage of the class reads only gossip pages or only cartoons = 204/1000*100% = 20.4%
SUFFICIENT
IMO C