In a class there are 60 students For every 8 students learning Judo there are 4 students who learn K...........

Quantitative Aptitude ( CCS) Ratio, Proportion

In a class, there are 60 students. For every 8 students learning Judo there are 4 students who learn Karate. For every 14 students learning Judo there are 7 students who learn both Judo and Karate and 7 students learning none.

Question: How many students learn only Karate?

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Explanation:

Total Students Taken = 60 Student's
Judo : Karate = 8 : 4 => 2 : 1
Judo : Both : None = 14 : 7 : 7 => 2 : 1 : 1
=> 2X, X, X
(Remove Ratio)=> 2x + x + x = 4x = 60
=> x = 15
So,30 students learn only Judo.
None learn only Karate.
15 students learn both.