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In An Examination, Every Candidate Took Physics Or Mathematics Or Both 65.8% Took Physics And 59.2% Took Mathematics The Total Number Of Candidates Was 2000. How Many Candidates Took Both Physics And Mathematics?

Answer»

Let x% candidates TAKE both the subjects.

Therefore, Percentage of candidates who opted physics = 65.8% 

And percentage of candidates who opted mathematics = 59.2% 

Therefore, x =(65.8 + 59.2 - 100)% 

= (125 -100)% = 25% 

ALSO total NUMBER of candidates = 2000 

Therefore, Number of candidates who opted both the subjects = 25/100 x 2000 =500.

Let x% candidates take both the subjects.

Therefore, Percentage of candidates who opted physics = 65.8% 

And percentage of candidates who opted mathematics = 59.2% 

Therefore, x =(65.8 + 59.2 - 100)% 

= (125 -100)% = 25% 

Also total number of candidates = 2000 

Therefore, Number of candidates who opted both the subjects = 25/100 x 2000 =500.



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