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?

– by
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?

A. 750
B. 500
C. 250
D. 125
Explanation:
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